Which pair of equations generates graphs with the same vertex?A) y = –(x + 4)2 and y = (x – 4)2
B) y = –4x2 and y = 4x2
C) y = –x2 – 4 and y = x2 + 4
D) y = (x – 4)2 and y = x2 + 4

Answers

Answer 1
Answer: A quadratic equation may be expressed in vertex form as:
y = a(x - h)² + k, the vertex being (-h , k)
For option A, the vertices are visibly different. (-4 , 0) and (4 , 0)
For B, the graphs' vertices are the same, (0 , 0).
For C, the vertices (can be obtained by differentiating and putting equal to 0) are (0 , -4) and (0 , 4)
For D, the vertices are (4 , 0) and (0 , 4)
Thus, the answer is B.
Answer 2
Answer:

Answer:

b

Step-by-step explanation:


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X + y = kx - y = k
The solution to the system shown is _____.
(0, k)
(2, 2)
(k, 0)

Answers

Answer:

(k,0)

Step-by-step explanation:

x+y=k

x-y=k

To solve for x  and y we add both equations

x+y=k

x-y=k

---------------------------

2x=2k

Divide both sides by 2

x=k

Now plug in k for x and find out y

x+y=k

k+y=k

Subtract k on both sides

y=0

Ordered pair is (x,y) that is (k,0)

Hello,
Adding the 2 equations,
x+y+x-y=k+k ==>2x=2k==>x=k
if x=k, y=k-k=0
solution is (k,0)

From where Kiana is standing she must look up at a 50° angle to see the top of a building she backs up 50 feet she will need to look up a 40° angle to see the top of the same building approximately how tall is the building

Answers

For this case, what we must do is solve the following system of equations:  tan (50) = h / x  tan (40) = h / (x + 50)  

Solving the system we have:  (x + 50) * tan (40) = h  (x) * tan (50) = h  

Matching:  (x + 50) * tan (40) = (x) * tan (50)  

Rewriting:  x (tan (50) - tan (40)) = 50 * tan (40)  x = 50 * tan (40) / (tan (50) - tan (40))  x = 118.9692621  

Substituting:  h = (x) * tan (50)  h = (118.9692621) * tan (50)  h = 141.7820455

B. 141.8ft

I would say approx 110ft. I’m not certain.

I hope this helped!


I would appreciate it if you gave me a Thanks and a brainliest (:

A rectangle has an area of 112 square units. If its width was half as long and its length was 8 times as long, what would be its new area?

Answers

Area (rectangle)=lenght x width
lenght=x
width=y
xy=112 u²

Then
(y/2)(8x)=4xy
Therefore:
xy=112 u²  then  4xy=4(112 u²)=448 u²

answer: the new area would be 448 u²

What are the roots of the equation x2 + 4x - 16 = 0?

Answers

see attached picture for answer

A= 13+26+39+...+169What is the sum of the prime numbers that can divide A ?


A)16 B)18 C)20 D)22 E)24

Answers

A= 13+26+39+...+169=

= 13(1+2+3+....+13)=

=13* (13*14)/2=

=13*13*7

=> 13+7=20

So the answer is c)

Please answer this question

Answers

Answer:

she is running at a constant speed

Step-by-step explanation:

the bar is still because she isnt going faster or slowing down she is constant

Answer:

D: She is at a constant speed.

Step-by-step explanation:

she is not acceleraring or decelerating, so her speed is constant