Answer:
false
Step-by-step explanation:
I'm assuming this a true/false statement? Perfect squares can be defined as: [tex]a^2[/tex] where a is an integer, and a^2 is a perfect square. The reason for this is because if you take the square root of a^2, you get a, which should be an integer. Odd numbers are also integers, 3^2 = 9, and taking the square root of 9 results in an integer. So for this reason perfect squares is a number whose square root is an integer, not just even numbers
The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
Question 6 options:
A)
G
B)
F
C)
H
D)
E
Answer: H
Step-by-step explanation:
[tex]9(-3)=-27[/tex], which is an integer.
How many lbs of peanuts must mike add to 9 lbs of mixed nuts containing 40% peanuts to make a mixture with 73% peanuts
The new mixture exists 56.5% peanuts.
How to estimate the total number of peanuts required for the mixture?The first batch of 9 lb of mixed nuts possesses 40% peanuts.
This means the quantity of peanuts exists:
9 [tex]*[/tex] 40/100 = 3.6 lb
The second batch of 9 lb of mixed nuts possesses 73% peanuts.
This means the quantity of peanuts exists:
9 [tex]*[/tex] 73/100 = 6.57 lb
The total quantity of peanuts in the mix exists
3.6 lb + 6.57 lb = 10.17 lb
There exist 9 lb + 9 lb = 18 lb of mix.
Therefore, the percent of peanuts in the mix exists:
10.17 / 18 [tex]*[/tex] 100 = 56.5%
The new mixture exists 56.5% peanuts.
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Find the surface
7 in.
4 in.
4 in.
+
4 in.
5 in.
7 in.
5 in.
j
SA = [?]in.² please explain how you got it I’m stuck
Resolver por igualación
2x+3y=2
6x+12y=1
Answer:
[tex]x = 3.5[/tex]
[tex]y\approx1.666666667[/tex]
Step-by-step explanation:
To solve simultaneous equations, at least one of our variables must have the same coefficient. We can easily multiply the first equation by 4 to get 12y on both sides, so let's do that:
[tex]8x + 12y = 8[/tex]
No let's subtract the second equation from the first equation to get the third equation:
[tex]2x = 7[/tex]
Solve:
[tex]x = 3.5[/tex]
Now, we can substitute this value into one of the original equations - let's use the second one:
[tex]21 + 12y = 1[/tex]
Solve:
[tex]12y = - 20[/tex]
[tex]y = - \frac{ - 20}{12} = \frac{ - 10}{6} = - \frac{5}{3} \approx - 1.66666666667[/tex]
Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply
Answer:
the answer is 1,2,4,5 and 7.
Answer: The answer is A,B,D,E,G
Step-by-step explanation: just trust me and enjoy your write answers. Have a nice day.
use the diagram to answer the question. what is the value of x
Answer:
2√(133)
Step-by-step explanation:
Triangle 1 = 8, 12, ?
triangle 2 = 18, x, ?
we have to find value of x which is a hypotenuse
a² + b² = c²
8² + 12² = 64 + 144 = √208 = 14.4222051019
x = 14.4222051019² + 18²
= 208 + 324
= 532
x = √532 = 2√(133)
Triangle Angle Sum Theorem
Answer:
Step-by-step explanation:
Comment
The sum of the remote interior angles = The exterior angle not connected to them
What that means is that
<C + <D = <KEB
Givens
<C = 60
<KED = <C + <D
Solution and answer
<KED = <C + <D Substitute the givens into this equation
100 = 60 + <D Turn this around
<60 + <D = <100 Answer first equation
Subtract 60 from both sides
<60-<60 + <D = <100 - 60
<D = <40 Answer second Equation
[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
Given:
▪ [tex]\longrightarrow \sf{KED = 100^\circ}[/tex]
▪ [tex]\longrightarrow \sf{\angle ECD = 60^\circ}[/tex]
[tex]\leadsto[/tex] According to the triangle angle sum theorem, the sum of interior angles of a triangle is 180°.
[tex]\leadsto[/tex] We can find the value of ∠E if we know the sum of two supplementary angles is equal to 180°
[tex]\longrightarrow \sf{m \angle E+ m \angle K=180^\circ}[/tex]
[tex]\longrightarrow \sf{m \angle E+ 100^\circ =180^\circ}[/tex]
[tex]\longrightarrow \sf{m \angle E= 80^\circ}[/tex]
As we find the value of ∠E, we can replace it in the initial formula. [tex]\downarrow[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex]\bm{m \angle C + m \angle \boxed{\bm D} = m \angle \boxed{\bm E}}[/tex]
[tex]\bm{m \angle D= \boxed{\bm{ 40^\circ}}}[/tex]
Identify the two tables which represent quadratic relationships. x 0 1 2 3 y -4 -8 -10 -10 x 0 1 2 3 y 4 -4 -4 4 x 0 1 2 3 y -2 0 2 4 x 0 1 2 3 y 1 2 4 8 x 0 1 2 3 y -2 -4 -8 -16 x 0 1 2 3 y 3 4 5 6
To estimate that table given in Option (4) will define the quadratic relationship.
Therefore, the table of Option (5) will describe the quadratic relationship.
How to estimate the quadratic relationships between two tables?By estimating the second difference, if the second difference in a table exists equivalent, the table will define the quadratic relationship.
In the given option, we estimate that table given in Option (4) will define the quadratic relationship.
x y I st difference II nd difference
0 4 - -
1 -4 -4 - (4) = -8 -
2 -4 -4 - (-4) = 0 0 - (-8) = 8
3 4 4 - (-4) = 8 8 - 0 = 8
The second difference between the terms in y exists exactly as 8.
Therefore, the table of Option (4) means the quadratic relationship.
Similarly, in Option (5) we will estimate the second distinction of y terms.
x y I st difference II nd difference
0 -4 - -
1 -8 -8 - (-4) = -4 -
2 -10 -10 - (-8) = -2 -2 - (-4) = 2
3 -10 -10 - (-10) = 0 0 - (-2) = 2
Here the second difference exists identical to 2.
Therefore, the table of Option (5) will describe the quadratic relationship.
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Drag each length to the correct location on the triangle. each length can be used more than once, but not all lengths will be used. what are the missing side lengths for the triangle? 10 5
Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.
What is Trigonometry Ratios?Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.
According to the given information:Reference angle (∅) = 60
Adjacent = 4√3
Opposite = ?
Apply TOA:tan 60 = opp/adj
tan 60 = Opp/4√3
√3 = opp/4√3
Opposite = √3 × 4√3
Opposite = 12
Find the other missing side:Reference angle (∅) = 60
Adjacent = 4√3
Hypotenuse = ?
Apply CAH:cos 60 = adj/hyp
cos 60 = 4√3/hyp
hyp = 4√3/cos 60
hyp = 4√3/1/2
hyp = 4√3 × 2
hyp = 8√3
Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.
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Jay received a holiday bonus in the amount of 66⅔% of his daily salary. Jay earns $300 each day. How much was his holiday bonus?
Answer: $200
Step-by-step explanation:
We will find 66⅔% of $300 to see how much Jay received. A percent divided by 100 becomes a decimal.
66⅔% / 100 ≈ 0.667
0.667 * $300 = $200
the selling price of a mobile after discount is 10000.if the discount is 10% find the mp
Answer:
Rs.11,111.11 (2 d.p.)
Step-by-step explanation:
The original price of the mobile is 100% of the price.
Therefore, the price of the mobile after a discount of 10% is 90% of the original price.
Let x be the original price.
If the price of the mobile after the discount is Rs.10000 then:
⇒ 90% of x = Rs.10000
⇒ 0.9x = 10000
⇒ x = 10000 ÷ 0.9
⇒ x = 11111.11 (2 d.p.)
M.P. =Rs 11111.1111
Answer:
Solution Given:
Selling price (S.P.) = Rs 10,000.
Discount =10%
Marked Price (M.P.)=?
we have
M.P. = S.P. + discount% of M.P.
keeping M.P. on same side
M.P. - discount% of M.P=S.P.
substituting value
M.P. - 10% of M.P.= Rs 10,000
taking common M.P.
M.P.(1-10%)=Rs. 10,000
we know that %=1/100
M.P.(1-10/100)=Rs 10,000
(9/10)M.P.= Rs 10,000
M.P.= Rs 10,000*10/9
M.P.=Rs11111.1111
Roger owns a one-acre piece of land. the length of the land is 484 feet. what is the width of his property? (hint: one acre = 43,560 square feet)
Answer:
90ft
Step-by-step explanation:
43,560ft² = L × l
43,560ft² = 484ft × l
43,560ft² ÷ 484ft = l
l = 90ft
Find the matrix for the linear transformation which rotates every vector in r2 through an angle of −π/3.
The matrix for the linear transformation for which rotates every vector in r2 is [tex]\left[\begin{array}{cc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\ \frac{\sqrt{3} }{2} &\frac{1}{2} \end{array}\right][/tex].
In this question,
The angle is -π/3 = -60°
Clockwise rotations are denoted by negative numbers.
Matrix for counter-clockwise direction for an angle α is
[tex]\left[\begin{array}{cc}cos\alpha &-sin\alpha \\-sin\alpha &cos\alpha \end{array}\right][/tex]
Then, matrix for clockwise direction for an angle α
Put α = -α in the above matrix,
⇒ [tex]\left[\begin{array}{cc}cos(-\alpha) &-sin(-\alpha) \\-sin(-\alpha) &cos(-\alpha) \end{array}\right][/tex]
⇒ [tex]\left[\begin{array}{cc}cos\alpha &sin\alpha \\sin\alpha &cos\alpha \end{array}\right][/tex]
Now substitute α = 60°
Then matrix becomes,
⇒ [tex]\left[\begin{array}{cc}cos60 &sin60 \\sin60 &cos60 \end{array}\right][/tex]
⇒ [tex]\left[\begin{array}{cc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\ \frac{\sqrt{3} }{2} &\frac{1}{2} \end{array}\right][/tex]
Hence we can conclude that the matrix for the linear transformation for which rotates every vector in r2 is [tex]\left[\begin{array}{cc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\ \frac{\sqrt{3} }{2} &\frac{1}{2} \end{array}\right][/tex].
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The graph shows the amount of money that the journalism club raised for a scholarship fund over a 5-week period If x represents the number of weeks, which function is the BEST fit for the information in this graph?
The linear function of best fit for the information on the graph is:
f(x) = 200x + 100.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The function on the graph goes through points (3,700) and (4,900), that is, when x changes by 1, y changes by 200, which means that the slope is of 200 and the function is:
f(x) = 200x + b.
When x = 3, f(x) = 700, hence we use it to find b.
700 = 200(3) + b
b = 100.
Hence the function is:
f(x) = 200x + 100.
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A planet orbiting a distant star has been observed to have an orbital period of 0.76 earth years at a distance of 1.2 au. what is the mass of the star the planet is orbiting? round your answer to the nearest whole number. solar masses
Based on the orbital period of the planet in earth years, and the distance it is rotating, the mass of the star that the planet is orbiting is 3 solar masses.
What is a solar mass?Because the sun is so heavy, it needed to have a special unit that could adequately reflect this mass.
Solar masses was the term that scientists came up with. In terms of the Earth's mass, a single solar mass means that the body is 333,000 times the mass of the Earth.
When given the orbital period of a planet, and the distance it is orbiting around a sun, you can find the solar mass by the formula:
= Distance planet is rotating³ - Orbital period²
Solving gives:
= 1.2³ / 0.76²
= 2.99
= 3 solar masses
In conclusion the mass of the star is 3 solar masses
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Answer:
3 solar masses
Step-by-step explanation:
just did it and got it right
HELP PLEASE!!
20 points for grabs
Step-by-step explanation:
....................
What is the value of y?
Z
Y
60 degrees
70 degrees
50 degrees
Using proportions, the value of y is of 100º.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In a circle, the measure of an arc is twice the measure of it's equivalent internal angle. The internal angle is of 50º, hence the measure of the arc, given by y, is found as follows:
y = 2 x 50º = 100º.
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Robert wants to fence a rectangular plot of land of at least $500$ square feet while using the least amount of fencing possible. He wants the width of the plot to be $5$ ft longer than the length. What is the width of the plot
The area of a rectangle is the amount of space it would cover on a 2-Dimensional plane. The required value of the width is 25 feet.
A rectangle is a plane shape with equal opposite sides. Its area can be determined by;
Area of a rectangle = length x width
Considering the given question, let the length of the plot be represented by l and its width as w. Given that the width of the plot should be longer than its length by 5, then we have;
w = l + 5
But,
Area of the plot = length x width
500 = l x (l + 5)
= [tex]l^{2}[/tex] + 5l
This implies that,
500 = [tex]l^{2}[/tex] + 5l
[tex]l^{2}[/tex] + 5l - 500 = 0
Applying the quadratic formula, we have;
l = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) / 2a
a = 1, b = 5, c = -500
= (-5 ± [tex]\sqrt{5^{2} - (4*1*-500)}[/tex]/ 2
= (-5 ± 45) / 2
l = (40) / 2 OR l = (-50) / 2
l = 20 OR l = - 25.5
So that,
l = 20
Therefore, the length of the plot is 20 feet.
Thus the width of the plot can be determined as;
w = l + 5
= 20 + 5
w = 25
The width of the plot is 25 feet.
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Malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of the two numbers he picks is odd and less than 5. what is the probability that the sum of the two numbers malik picks is less than 5, given that the first number is odd and less than 5?
The probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5 is 0.0494.
What is a probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.
Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
Probability of an event P(E) = Number of favourable outcomes/Total number of outcomes.
Calculation for the given condition;
Either 1 or 3 must be present if a given integer is odd and smaller than 5.
The likelihood that it was picked from a set of nine numbers is (2/9).
The probability that the first integer is 1 is 50/50.
If it is and their combined number is less to 5, the second number will either be 1, 2, or 3.
The likelihood that it was picked out of the nine numbers is (3/9).
Additionally, there is a 50/50 probability that the first digit will be 3.
A second number is 1 if it is and the sum would be less than 5.
It was selected with a 1 in 9 chance of being one of the other 8 numbers.
The total probability is;
= (2/9) times [ (0.5 x 3/9) + (0.5 x 1/9) ]
= (2/9) times [ (1.5/9) + (0.5/9) ]
= (2/9) times [ 2/9 ] = 4/81
= 0.0494
Therefore, the probability that the sum of the two numbers malik picks is less than 5 is 0.0494.
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Answer:
See image
Step-by-step explanation:
Plato
Find the consecutive numbers such that the sum of four times the first and triple the second is 157 (Linear systems)
Answer:
22, 23
Step-by-step explanation:
4x + 3(x + 1) = 157
4x + 3x + 3 = 157
7x + 3 = 157
7x = 154
x = 22
JUST NEED A BIT OF HELP PLS
Step-by-step explanation:
1st : Vector translation.
a vector -8j ( 0 , -8 ) helped translate (x , y) => (x , y - 8)
2nd : rotation.
The only rotation that results in (-x , -y) is pi rotation.
formula : (x , y -8) => ( xcos(pi) - ysin(pi) , xsin(pi) + ycos(pi) )
substitute x & y-8 into x & y respectively of the formula above.
How do I rewrite 1/4 book 1/3 hour as a unit rate?
The unit rate of 1/4 book 1/3 hour in books per hour is 3/4 books per hour.
Unit rateUnit rate is the rate of a quantity in terms of another quantity per unit.
Number of books = 1/4Number of hours = 1/3Unit rate(books per hour) = Number of books / Number of hours
= 1/4 ÷ 1/3
= 1/4 × 3/1
= (1×3) / (4×1)
= 3/4 books per hour
Therefore, the unit rate of 1/4 book 1/3 hour in books per hour is 3/4 books per hour.
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Geometry: Complete these proofs, ASAP!!!
The complete proofs are:
Proof 1
a || b; c || d ⇒ Given∠5 is supplementary to ∠4 ⇒ ∠5 + ∠4 = 180∠2 = ∠4 ⇒ Definition of corresponding angles ∠5 + ∠2 = 180 ⇒ Substituting property of equality∠5 + ∠2 = 180 ⇒ Definition of supplementary anglesProof 2
BD bisects ∠ABC; AD || BC; AB || CD ⇒ Given∠3 ≅ ∠4 ⇒ Definition of congruent angles∠1 ≅ ∠3 ⇒ Definition of corresponding angles ∠1 ≅ ∠4 ⇒ Definition of corresponding angles How to complete the proofs?Proof 1
Lines a & b and c and d are given as parallel lines.
So, we have
a || b; c || d ⇒ Given
From the question, we have:
∠5 is supplementary to ∠4
So, we have
∠5 + ∠4 = 180
This is so because supplementary angles add up to 180
Corresponding angles are equal.
So, we have:
∠2 = ∠4
By the substituting ∠2 for ∠4 in ∠5 + ∠4 = 180, we have
∠5 + ∠2 = 180
Hence, angles ∠5 and ∠2 are supplementary angles
Proof 2
Line BD bisects angle ABC; lines AD & BC and AB & CD are given as parallel lines.
So, we have
BD bisects ∠ABC; AD || BC; AB || CD ⇒ Given
From the question, we have:
∠3 ≅ ∠4 ⇒ Definition of congruent angles
∠1 ≅ ∠3 ⇒ Definition of corresponding angles
Substitute ∠1 ≅ ∠3 in ∠3 ≅ ∠4
∠1 ≅ ∠4
Hence, the angles 1 and 4 are congruent
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Round 51.6172 to the
thousandths place.
Answer:
51.617
Step-by-step explanation:
tythe answer is 51.617 hope it helps
Explanation: The thousandths place is 51.6172 (Underlined is the thousandths) and since 2 is closest to zero we get an answer of 51.617.
Answer: 51.617
:)
Find the mean 35 40 12 16 25 10
Answer: Mean = 23
Step-by-step explanation:
Given information:
35, 40, 12, 16, 25, 10
Given formula:
[tex]Mean~=~\frac{Sum~of~terms}{Number~of~terms}[/tex]
Substitute values into the formula
[tex]Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}[/tex]
Combine like terms
[tex]Mean~=~\frac{75~+~28~+~35}{6}[/tex]
[tex]Mean~=~\frac{103~+~35}{6}[/tex]
[tex]Mean~=~\frac{138}{6}[/tex]
Simplify the fraction
[tex]\Large\boxed{Mean=23}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the dimensions of a rectangle with area 1,728 m2 whose perimeter is as small as possible
The dimensions of a rectangle with area 1728 square meter whose perimeter is as small(minimum) as possible are 41.57m and 41.56m.
Let the dimension of the rectangle be x and y m.
According to the given question.
The area of the rectangle is 1728 square meter.
⇒ x × y = 1728
⇒ x = 1728/y
Since, the perimeter of the rectangle is the sum of the length of its boundary.
Therefore,
Perimeter of the recatngle with dimensions x and y is given by
Perimeter of the rectangle, P = 2(x + y)
⇒ P = 2(1728/y + y)
⇒ P = 3456/y + 2y
Differentiate the above equation with respect to y
⇒ [tex]P^{'} = -\frac{3456}{y^{2} } + 2[/tex]
For the minimum(small) perimeter equate the above equation to 0.
⇒ [tex]-\frac{3456}{y^{2} } + 2 = 0[/tex]
⇒ [tex]2y^{2} =3456[/tex]
⇒ [tex]y^{2} = \frac{3456}{2}[/tex]
⇒ y^2 = 1728
⇒ y = √1728
⇒ y = 41.56 m
Therefore,
x = 1728/41.56
⇒ x = 41.57 m
Hence, the dimensions of a rectangle with area 1728 square meter whose perimeter is as small(minimum) as possible are 41.57m and 41.56m.
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Given: the equation of a parabola is x2 = 8y. step 4: where does the focus for the given parabola lie?
The vertex of the given parabola [tex]$x^{2}=8 \mathrm{y}$[/tex] exists (0, 0).
What is the vertex of a parabola?The vertex of a parabola exists as the point at the intersection of the parabola and its line of symmetry. The vertex of the parabola exists as the minimum point on the graph for a positive right-handed parabola.
Given the equation of parabola exists [tex]$x^{2}=8 y$[/tex].
[tex]$\mathrm{y}=x^{2} / 8[/tex]
General vertex form for any given parabola exists [tex]$\mathrm{y}=\mathrm{a}(x-a)^{2}+\mathrm{b}$[/tex]
where (a, b) exists the coordinates of the vertex.
For this function it exists [tex]$\mathrm{y}=1 / 8(x-0)^{2}+0$[/tex]
The vertex of the given parabola exists at (0, 0).
Therefore, the vertex of the given parabola [tex]$x^{2}=8 \mathrm{y}$[/tex] exists (0, 0).
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Den pushes a desk 400 cm across the floor. he exerts a force of 10 n for 8 s to move the desk. what is his power output? (power: p = w/t)
The power output is = 5W
Correct option is B.
What is Power ?Power is the quantity of energy that is transferred or transformed in a certain length of time. The unit of power is the watt, which in the International System of Units is equivalent to one joule per second.. Power may also be referred to as activity in earlier writings. The scalar property of power
Power is characterized as the rate at which a thing performs labor.
According to the given information:P = W/T ..... (1)
Work is calculated as the product of force applied to an item and the distance that object has traveled.
W = F.s
When we plug this value into the equation above, we get:
P = (F. s)/t
where,
power = P =?W
F = 10N Force Exercised
s = Displacement = 400cm = 4m (1 meter = 100 centimeters).
t = Time required = 8s
Using the values in the equation above, we obtain
P = (10 x 4)/8
P = 5W
Hence, the correct option is Option b.
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I understand that the question you are looking for is :
Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk.
What is his power output? (Power: P = W/t)
a. 1.25 W
b. 5 W
c. 40 W
d.500 W
On a coordinates plane, a line passes through ( - 2 , 3 ) and ( 2 , 6 ). Which of the followings lies on the same line.
a. ( - 2 , 12 )
b. ( 6 , 12 )
c. ( - 6 , 0 )
d. ( - 6 , 6 )
By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)
What point lies on a line segment?
According to linear algebra, a point lies in a line segment if its vector is a multiple of the vector that generates the line segment itself, that is:
AB = k · AP (1)
The vector that generates the line segment is:
AB = (2, 6) - (- 2, 3)
AB = (4, 3)
And the vectors related to each point are:
Case A
AP = (- 2, 12) - (- 2, 3)
AP = (0, 9)
Case B
AP = (6, 12) - (- 2, 3)
AP = (8, 9)
Case C
AP = (- 6, 0) - (- 2, 3)
AP = (- 4, - 3)
Case D
AP = (- 6, 6) - (- 2, 3)
AP = (- 4, 3)
By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)
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Answer:
6
Step-by-step explanation:
Given an isosceles triangle the two sides opposite of congruent angles are equal to eachother, so you can create an equation setting the two sides equal to eachother and solve for x.
[tex]x+4=3x-8\\x=3x-12\\-2x=-12\\x=6[/tex]
The length of AC is simply x, therefore 6