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Dmitrij [34]
3 years ago
14

/ has vertices at (–5, 1) and (–3, 7). After a transformation, the image had endpoints at (3, –1) and (5, 5). Describe the trans

formation.
A.
translation right 2 units and up 6 units
B.
rotation 90° about the origin
C.
translation right 8 units and down 2 units
D.
reflection across the y-axis
Mathematics
1 answer:
Pie3 years ago
3 0
1st point: ( -5+8. 1-2 ) = ( 3, -1 )
2nd point: ( -3+8, 7-2 ) = ( 5, 5 )
Answer: C) translation right 8 units and down 2 units. 
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How do I solve this geometry proof?
viktelen [127]

I don't remember the names of the theorems at all, but we know that AD ≈ DE ≈ EB (Segment Addition). Which means <ACD ≈ <DCE ≈ <ECB (not completely sure how to prove this). Therefore, <1 ≈ <2. (Don't forget to state that <1 ≈ <ACD and <2 ≈ <ECB). With this and Angle Addition, we know that <ACE ≈ <DCB, so with SAS Congruence Theorem, we can prove ΔACE ≈ ΔBCD.

Hope that helps

3 0
3 years ago
Find the values of x y and z
andrey2020 [161]

9514 1404 393

Answer:

  • x = 18√2
  • y = 18√3
  • z = 36

Step-by-step explanation:

These "special" right triangles have side length ratios that it is useful to remember.

<u>45°-45°-90° triangle</u>

Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.

  x = 18√2

<u>30°-60°-90° triangle</u>

Shortest to longest, sides have the ratios ...

  1 : √3 : 2

That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.

  y = 18√3

  z = 2·18 = 36

4 0
3 years ago
Which equations are in standard form? Check all that apply y = 2x + 5 2x + 3y = –6 –4x + 3y = 12 y = x – 9 x + 3 = 6 x – y = 5 5
Gnesinka [82]
The right chose is -9x+3= the others are not hope this helped 

6 0
3 years ago
Read 2 more answers
Write h(x) = 7 10x x2 in vertex form. Write h in standard form. H(x) = x2 10x 7 Form a perfect square trinomial by adding and su
rewona [7]

You can use the definition for the vertex form of a quadratic equation and then can can do conversion of that quadratic equation in that form.

The correct vertex form of the given equation is given by

Option C: h(x) = (x-5)^2 - 18

<h3>What is vertex form of  a quadratic equation?</h3>

If a quadratic equation is written in the form

y = a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point is called the vertex of the parabola that quadratic equation represents.

<h3>How to convert the given equation to vertex form?</h3>

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

The given equation is h(x) = 7 + 10x + x^2\\

Converting it in vertex form, we get:

h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18  \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)

Thus, we have h = -5 and k = -18

The plot of the given equation is attached below.

Thus,

The correct vertex form of the given equation is given by

Option C: h(x) = (x-5)^2 - 18

Learn more about vertex form of quadratic equations here:
brainly.com/question/9912128

5 0
3 years ago
Read 2 more answers
1) start at 4 and add -13 what’s the answer?
alexandr1967 [171]

Answer:

-9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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