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LekaFEV [45]
3 years ago
8

Solve for a a +(-5) = -12 O a=-17 O a= -7 O a = 7 O a = 17

Mathematics
2 answers:
Nana76 [90]3 years ago
6 0
A= -7 Hope it helps!!
Nikolay [14]3 years ago
3 0

Answer:

a=-7

Hope it helped!

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△QRS is rotated about point P to △Q′R′S′ . Which statements are true about the pre-image and image?
yuradex [85]

Note that rotation will not affect the shape and size of an object.

Rotation with respect to a point preserves the corresponding sides and the corresponding angles of the original image.

Hence, the statements

The corresponding angle measurements in each triangle between the pre-image and the image are preserved and

The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved

are true.

3 0
3 years ago
hey, can someone please double check these questions for me / or help me solve them if they are incorrect? thank you U-U ​
zzz [600]

Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

4p(y-k) = (x-h)^2

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y

4p(y-k) = (x-h)^2

4*4(y-0) = (x-0)^2

16y = x^2

y = (1/16)x^2

The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.

<h3>Answer:  Choice D.  y = -(1/16)x^2</h3>

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

Question 3

The given equation is in the form y = ax^2+bx+c

In this case,

  • a = 2
  • b = 4
  • c = 3

Let's compute the x coordinate of the vertex h

h = -b/(2a)

h = -4/(2*2)

h = -1

This h value is plugged into the original function to find k

f(x) = 2x^2+4x+3

f(-1) = 2(-1)^2+4(-1)+3

f(-1) = 1

We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

<h3>Answer: Choice B.  (-1,1)</h3>
8 0
2 years ago
Check all of the ordered pairs that satisfy the equation below.
stiv31 [10]

Answer:

Hey there!

y=3/4x shows that the y-value is always 3/4 of the x-value.

Thus, if x is 4, y is 3. It always fits the 4:3 ratio.

The ordered pairs that satisfy this equation are: 28:21 and 16:12

Let me know if this helps :)

6 0
3 years ago
NEED THIS DONE STAT<br> WILL GIVE BRAINLIEST <br> 15 POINTS!!!!!
Llana [10]

Answer:

I don't have the explanation however I did this equation like months ago and I believe it's "the number of miles"

3 0
3 years ago
Read 2 more answers
Select the correct answer. What is the value of this expression when g= -3.5? 8-[2g-5]
Aleks [24]

Answer:

20

Step-by-step explanation:

2g =  -3.5x2 = -7

-7 - 5= -12

8 - -12=20

6 0
3 years ago
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