3 years ago

PLS HELP ME!

Mathematics

1 answer:

Phantasy [73]3 years ago

4 0

Answer:

Step-by-step explanation:

just add

3.17

1.15

2.26

-------

7. 48 lbs

im pretty sure

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Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

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1 year ago

The volume of a cylinder is 375 pi m^3. if r= 5 m, find its height.

pishuonlain [190]

Answer:

Step-by-step explanation:

$V=h\pi r^2\\ \\ h=\frac{V}{\pi r^2}\\ \\ h={375\pi}{25\pi}\\ \\ h=15m$

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3 years ago

Who knows what 16+16 is? giving brainliest

vlada-n [284]

32 is the correct answer

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3 years ago

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A map is drawn with a scale of 1/2 inch to 5 actual. miles. If the map distance is 8 inches, whats the actual. distance

gavmur [86]

1/2 in. = 5 miles
1 in. / 2 = 1/2 in.
8 * 2 = 16
16 * 5 = 80 miles

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4 years ago

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Tree 3 diagram is the answer

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