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Alex
3 years ago
6

Write the equation of the parabola in vertex form.vertex (3,2), point (2,-2)

Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer:

y=-4(x-3)^2+2

Step-by-step explanation:

y=a(x-p)^2+q - equation of the parabola in vertex form

from vertex (3,2) we know that p=3, \ q=2

from point (2,-2) we know that x=2, \ y=-2

inserting p=3, q=2, x=2 and y=-2 to the equation y=a(x-p)^2+q, we calculate a

-2=a(2-3)^2+2\\ -2=a\cdot(-1)^2+2\\ -2=a\cdot1+2\\ -2=a+2\\ -2-2=a\\ -4=a\\ a=-4

insert a=-4, p=3 and q=2 to the equation

y=-4(x-3)^2+2

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-8x+3(x-5)=25 solve for x<br><br> literally i will give u points or whatever just get me an answer
Nana76 [90]

Answer:

x = -8

Step-by-step explanation:

-8x + 3(x - 5) = 25

Distribute the 3 into the (x - 5).

-8x + 3x - 15 = 25

Combine like terms.

-5x - 15 = 25

Add 15 to both sides.

-5x = 40

Divide both sides by -5.

x = -8.

Proof:

-8x + 3(x - 5) = 25

Substitute variable.

-8(-8) + 3((-8) - 5) = 25

Subtract inside parenthesis.

-8(-8) + 3(-13) = 25

Multiply -8 and -8.

64 + 3(-13) = 25

Multiply 3 and -13.

64 + (-39) = 25

Add 64 and -39.

25 = 25

4 0
2 years ago
Read 2 more answers
A farmer saw some chickens and pigs in a field. he counted 30 heads and 84 legs. determine exactly how many chickens and pigs he
loris [4]
12 pigs×4 legs=48 legs
18 chickens×2 legs=36 legs
48 legs+36 legs=84 legs

12 are pigs and 18 are chickens
8 0
3 years ago
Find the solution to the system of equations.
goldenfox [79]

Substitute

4x+2=x-4

Then solve

3x=-6

x=-2

Substitute answer into an equation to find y

y=-2-4

y=-6

So you solution is:

(-2,-6)

8 0
3 years ago
Solve a = a+b+c+d/4 for c
kupik [55]
A=a+b+c+d/4
subtract a from both sides
0=b+c+d/4
Subtract b from both sides
-b=c+d/4
Finally subtract d/4 from both sides
c=-d/4-b
4 0
2 years ago
In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 100 m
madam [21]

Answer:

The three unknown angles X, Y , and Z are:

X = 40, Y = 20, and Z = 120

Step-by-step explanation:

Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

Then we can create the following equations:

X = 2 Y

Z = 100 + Y

and

X + Y + Z = 180

So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:

2 Y + Y + (100 + Y) = 180

4 Y + 100 = 180

4 Y = 80

Y = 80/4 = 20

Then X = 40, Y = 20, and Z = 120

7 0
2 years ago
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