ANSWER ASAP PLEASE! What is the equation of the parabola in standard form given the vertex is (7,9) and the focus is (-5,9)?(y-_)^2 = _(x-_)
Answers
Answer: (y - 9)^2 = -48(x - 7)
Step-by-step explanation:
To find the equation of the parabola in standard form, we can use the formula (y - k)^2 = 4p(x - h), where (h, k) is the vertex and p is the distance between the vertex and the focus.
Given that the vertex is (7, 9) and the focus is (-5, 9), we can see that the vertex and focus have the same y-coordinate, which means the parabola opens horizontally.
The vertex is (h, k) = (7, 9) and the focus is (h + p, k) = (-5, 9). By comparing the x-coordinates, we can find p.
-5 = 7 + p
p = -12
Substituting the values into the formula, we get:
(y - 9)^2 = 4(-12)(x - 7)
So, the equation of the parabola in standard form is (y - 9)^2 = -48(x - 7).
(hope this helped)
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So in the image, it's a little hard to see some of the bits, but I hope I am getting this right.
One of the options is Rotation, r (180° (lambda) (5,0)).
Now, if I'm remembering high school correctly, this means that Δ ABC needs to be rotated 180°, on the point (5,0) in order to get Δ DBE.
Looking back at the image, we can see that both triangles share the point B, which is at (5,0). Now, to visually check, we can see that points C and E are exactly 180° apart from each other (think of the angle), and points D and A are exactly 180° apart.
We can see that Δ DBE is Δ ABC, rotated 180° on the point (5,0).
-Hope this helps and I hope I did this right!
Answers
Answer:
x = -4 x=-1
Step-by-step explanation:
10x + 6 = -2x^2 -2
Add 2x^2 to each side
+2x^2 +10x + 6 =2x^2 -2x^2 -2
2x^2 +10x + 6 = -2
Add 2 to each side
2x^2 +10x + 6+2 = -2+2
2x^2 +10x + 8 = 0
Divide each side by 2
2/2x^2 +10/2x + 8/2 = 0/2
x^2 +5x+4 = 0
What 2 numbers multiply to 4 and add to 5
4*1 = 4
4+1 =5
(x+4) (x+1) = 0
Using the zero product property
x+4 = 0 x+1 =0
x+4-4 = 0-4 x+1-1 =0-1
x = -4 x=-1
Answer:
x = -4 or x = -1
Step-by-step explanation:
Given equation is :
10x+6 = -2x²-2
Adding 2x² and 2 to both sides of above equation , we get
2x²+2 +10x+6 = -2x²-2 +2x²+2
Adding like terms , we get
2x²+10x+8 = 0
As we have noticed that there are multiples of 2.
Taking 2 as common,we get
2(x²+5x+4) = 0
Multiplying by 1/2 to both sides of above equation , we get
1/2.2(x²+5x+4) = 1/2.0
x²+5x+4 = 0
Split the middle term of above equation so that the sum of two term should be 5 and their product be 4.
x²+4x+x+4 = 0
Making two groups ,we get
x(x+4)+1(x+4)
Taking (x+4) common,we get
(x+4)(x+1) = 0
Applying Zero-Product Property to above equation, we get
x+4 = 0 or x+1 = 0
Firstly, solve x+4 = 0
Adding -4 to both sides of above equation,we get
x+4-4 = 0-4
x +0 = -4
x = -4
Secondly, solve x+1 = 0
Adding -1 to both sides of above equation,we get
x+1-1 = 0-1
x = -1
Hence, the solution of 10x+6 = -2x²-2 is {-4,-1}.
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"The peach-dyed kimono / patterned with maple leaves"
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Step-by-step explanation:
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Step-by-step explanation:
Y=-x+7
For -x put 1 for the -x
So y=-1+7
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Answer:
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Answer:
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Step-by-step explanation: