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Alika [10]
3 years ago
7

The standard form of the equation of a parabola is y= x2 - 8x + 29.

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

A

Step-by-step explanation:

Put brackets around the first two tems.

y = (x^2 - 8x) + 29

Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.

1/2 (- 8) = - 4

(- 4)^2 = 16

y = (x^2 - 8x + 16) + 29

Subtract 16 outside the brackets.

y = (x^2 - 8x + 16) + 29 - 16  

Do the subtraction

y = (x^2 - 8x + 16) + 13

Represent what is inside the brackets as a square.

y = ( x - 4)^2 + 13

The answer is A

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lyudmila [28]

Since y must equal both 3x+2 and x-4, we deduce that 3x+2 and x-4 must equal each other. So, we have

3x+2=x-4 \iff 2x+2=-4 \iff 2x=-6 \iff x=-3

5 0
3 years ago
Read 2 more answers
Look at the attachment.​
Sloan [31]

Answer:

12 cups

Step-by-step explanation:

21:7=3 i mean that's kinda it

3x4=12

4 0
3 years ago
Translate the sentence into an equation: <br> the sum of a number divided by 7 and 9 equals 3
ludmilkaskok [199]
X/7 + 9 = 3
a number: x
a number divided by 7: x/7
sum of number divided by 7 and 9: x/7 + 9 (and means plus)
equals 3: x/7 + 9 = 3
3 0
3 years ago
If C= (-10, -9, -8, -7 ,-6 , -5) and D= ( -6, -5, -4, -3, -2, -1, ) , what is C n D ?
andrey2020 [161]

Answer:

C ∩ D = -5, -6

Step-by-step explanation:

Commons ones in both C and D are -5 and -6

7 0
2 years ago
When Vince does 14 push-ups and 12 sit-ups, it takes a total of 52 seconds. In comparison, he needs 48 seconds to do 12 push-ups
marshall27 [118]

Answer:

it takes 2 seconds to do one situp

it takes 2 seconds to do one pushup

to do 14 pushups, it takes 28 seconds.

to do 12 situps it takes 24 seconds

to do 12 pushups, it takes 24 seconds

BRAINLIEST PLEASE!

hope this helps :)

Step-by-step explanation:

14x + 12y = 52

12x + 12y = 48

^^^ this is an inequality that we can make.  

x stands for pushups

y stands for situps

if we subtract the second equation from the first, we get

2x = 4

x = 2

now we can place x in one of the equations to solve for y

12(2)+12y=48

24 + 12y = 48

12y = 24

y = 2

5 0
2 years ago
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