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Vika [28.1K]
2 years ago
13

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9). I need help

Mathematics
1 answer:
Juliette [100K]2 years ago
3 0
From the given data:<span> vertex at the origin and a focus at (0, 9), the parabola should be facing upwards. In this case, the length of the latus rectum is 9 units which is a. Hence the equation becomes y = 4 (9) x^2. The equation is equal to y = 36 x^2. The standard form is 36 x^2 - y = 0.</span>
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What is the solution to this equation 5x -8(x + 5)= 6-3x
Solnce55 [7]

Answer:

no solution

Step-by-step explanation:

5x - 8(x + 5) = 6 - 3x

Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.

First, distribute -8 to all terms within the parenthesis

-8(x + 5) = (-8)(x) + (-8)(5) = -8x - 40

5x - 8x - 40 = 6 - 3x

Isolate the variable (x). Add 3x & 40 to both sides

5x - 8x (+3x) - 40 (+40) = 6 (+40) - 3x (+3x)

5x - 8x + 3x = 6 + 40

Simplify. Combine like terms

(5x - 8x + 3x) = (6 + 40)

0 = 46 ; False 0 ≠ 46 ∴ no solution is your answer

~

8 0
3 years ago
Any line with no slope is parallel to the<br><br> *x-axis<br> *y-axis<br> *line y = x
Aleks04 [339]
The x-axis.

In the form Y = mx + b

m is the slope, so no slope means that my is zero so that means x is zero also.

So you would end up with

y = b so that means y will always be that value and the only thing that will change is the x value. This will create a horizontal lines that is parallel to the x-axis
3 0
3 years ago
Simplify 4x(3x-7)-19x^2)-19x^2
Sedbober [7]
The answer for this problem is
: -7(x^2+4)
3 0
3 years ago
The value of a new car decreases by 10% in the first year. How much will a car be worth after one year if it’s initial value was
yan [13]

Answer:

$36000

Step-by-step explanation:

$40 000(0.10) = $4000

$40000 - $4000 = $36000

5 0
2 years ago
Someone please help! I'm confused with c and d.
Karo-lina-s [1.5K]

It would be 3 times the sum of x and seven plus 10. This is because first you would would add 7+x (7x) and multiply it by 3. And then add on 10.

5 0
3 years ago
Read 2 more answers
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