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Vladimir [108]
3 years ago
8

Someone help me with this ASAP!!

Mathematics
2 answers:
deff fn [24]3 years ago
7 0
Part 3 is going to be 3.5
omeli [17]3 years ago
6 0

thats all right but part 3 of 3 is 7.5

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Use the Distance Formula to write an equation of the parabola with focus F (0, 4) and directrix y = -4.
alexdok [17]

Step-by-step explanation:

focus=(0,4)

Direcrtrix,y=-4

p=4

vertex=(0,0)

Open upward

(x-h)²=4p(y-k)

(x-0)²=4(4)(y-0)

(x-0)²=16(y-0)

8 0
4 years ago
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

The new height (H+x) is

H'=H+x=6+4=10

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0
3 years ago
Find the equation of the line. use exact numbers​
dolphi86 [110]

Answer:

y = -2x + 5

Step-by-step explanation:

The slope is -2/1 and the y intercept is 5.  

5 0
3 years ago
How to simplify 27/8
katen-ka-za [31]
Well if you want to simplify you can do it to ways 
1 leave it how it is because you cant simplify anymore 
or
2 turn it into a mixed number
 first see how many times you can fit 8 into 27
8*2=16 8*3=24 8*4=32 
so it is 3 times 
and you have 3 left over so that goes over 8 and your simplification is 3 3/8

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3 0
3 years ago
Find the value of the variable, x
Rashid [163]

Answer:

The value of x is 27

Step-by-step explanation:

If you multiply 27 by every x in this problem, and add up the angles it will equal 180. Which is the amount of degrees every triangle adds up to.

3 0
3 years ago
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