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alex41 [277]
3 years ago
6

List the points of the triangle if it were dilated by 2 times it’s size

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answers:

P ' (14, 6)

Q ' (12, 12)

R ' (18, 10)

========================================================

Explanation:

The point P(7,3) moves to P'(14, 6) after multiplying the x and y coordinates by 2.

7*2 = 14

3*2 = 6

Similarly, Q(6,6) moves to Q'(12,12) following that same rule. Lastly, the point R(9,5) moves to R'(18,10)

The points are twice as far away from the origin compared to their preimage counterparts. This in turn makes the side lengths of triangle P'Q'R' to be twice as long compared to the corresponding side lengths of triangle PQR. Both triangles are different sizes, but the same shape. That makes them similar triangles (but they aren't congruent).

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Which of the following is true of the discriminant for the graph below
aniked [119]

Answer:

Step-by-step explanation:

The discriminant is used to determine the number and nature of the zeros of a quadratic. If the discriminant is positive and a perfect square, there are 2 rational zeros; if the discriminant is positive and not a perfect square, there are 2 rational complex zeros; if the discriminant is 0, there is 1 rational root; if the discriminant is negative, there are no real roots.

The roots/solutions/zeros of a quadratic are where the graph goes through the x axis. Those are the real zeros, even if they don't fall exactly on a number like 1 or 2 or 3; they can fall on 1.32, 4.35, etc. They are still real. If the graph doesn't go through the x-axis at all, the zeros are imaginary because the discriminant was negative and you can't take the square root of a negative number. As you can see on our graph, the parabola never goes through the x-axis. Therefore, the zeros are imaginary because the discriminant was negative. Choice C.  Get familiar with your discriminants and the nature of quadratic solutions. Your life will be much easier!

4 0
3 years ago
∠1 and​ ​ ∠2 ​ ​are complementary angles. m∠1=13° What is the measure of ​ ∠2 ​​?
marin [14]
Measure of angle 2 is 77. hope this helped.
4 0
3 years ago
Write an equation of the line that passes through the points (2,-4) and (0,-4)
lions [1.4K]

Answer:

slope-intercept formula ----->  Y2-Y1/X2-X1

Step-by-step explanation:

X1= 2       X2= 0

Y1= -4     Y2= -4

-4+4/0-2=0

               

8 0
3 years ago
Pyramid P is similar to pyramid Q. The volume of pyramid P is 980 c m cubed, and the volume of pyramid Q is 3307.5 c m cubed. Wh
jeka57 [31]

Answer:

The scale factor is \frac{3}{2}

Step-by-step explanation:

The volume of the original prism is V_P=980cm^3

The volume of the dilated prism is V_Q=3307.5cm^3

Let the scale factor be k.

To find the volume of the dilated prism, we multiplied by k^3.

\Rightarrow 980k^3=3307.5

\Rightarrow k^3=\frac{3307.5}{980}

\Rightarrow k^3=\frac{27}{8}

\Rightarrow k=\sqrt[3]{\frac{27}{8}}

\Rightarrow k=\frac{3}{2}

8 0
3 years ago
Please help me I will mark brainliest! The ratio of the number of boys to the number of girls in a school is 3:4. One-third of t
Alex17521 [72]

Answer:

a) 952

b) 136

Step-by-step explanation:

<u>Ratio of b:g = 3:4, based on this we have:</u>

  • Number of boys = 3x
  • Number of girls = 4x
  • Total number of pupils = 3x+4x = 7x

<u>Number of spectacle wearers:</u>

  • 1/3*3x + 3/8*4x = x + 3/2x = 2.5x

<u>Number of those not wearing spectacles:</u>

  • 7x - 2.5x= 4.5x

<u>And this number equals to 612, then we can find the value of x:</u>

  • 4.5 x = 612
  • x= 612/4.5
  • x= 136

a) T<u>otal number of pupils:</u>

  • 7x = 7*136 = 952

b)<u> The difference in the number of boys and girls:</u>

  • 4x-3x= x = 136
7 0
3 years ago
Read 2 more answers
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