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Burka [1]
2 years ago
5

Write the equation of a parabola whose directrix is

Mathematics
1 answer:
suter [353]2 years ago
4 0

Answer:

y=0.5x²-4x-10.

Step-by-step explanation:

1) according to the definition of parabola:

d1=d2, then

2) \ |y+1.5|=\sqrt{(x+4)^2+(y+2.5)^2} ;

3) after evolution:

-(2y+4)=(x+4)²; ⇔

y=-\frac{1}{2}x^2-4x-10.

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the area of a bathroom floor measures 3 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square yards.
wel

Using the area, the number of tiles needed to cover the floor is 6.

<h3>What is area?</h3>

The area is the region bounded by the shape of an object.

Therefore, the bathroom floor measures 3 yards by 3yards.

Hence the area of the bathroom floor can be calculated as follows;

area of the bathroom floor = 3 × 3

area of the bathroom floor = 9 yards²

The area of the custom tiles that makes the flooring is 1 1  /2 square yards.

Hence,

number of tiles needed to cover the floor = 9 ÷ 3  /2

number of tiles needed to cover the floor = 9 × 2  / 3

number of tiles needed to cover the floor = 18 / 3

number of tiles needed to cover the floor = 6

learn more on area here: brainly.com/question/946354

#SPJ1

4 0
1 year ago
A tiger shark swims an average of 32 miles per hour. About how many hours will it take the tiger shark to swim 8 miles?
elena55 [62]

Answer:

0.25 hours, or 15 minutes

Step-by-step explanation:

Ok, so the rate is 32 miles per hour, so it would take about 1/4 of a hour to go 8 miles (8/32= 0.25)

6 0
3 years ago
Solve x2+7x-8=0 by factoring
Georgia [21]

Answer:

This is the answer: X=1, -8

3 0
3 years ago
Subtract.<br>(4x^2 + 8x - 2) - (2x^2 - 4x + 3)<br>Enter your answer, in standard form.​
vovikov84 [41]

Answer:

\large\boxed{(4x^2 + 8x - 2) - (2x^2 - 4x + 3)=2x^2+12x-5}

Step-by-step explanation:

(4x^2 + 8x - 2) - (2x^2 - 4x + 3)\\\\=4x^2 + 8x - 2 -2x^2 -(- 4x)- 3\\\\=4x^2+8x-2-2x^2+4x-3\qquad\text{combine like terms}\\\\=(4x^2-2x^2)+(8x+4x)+(-2-3)\\\\=2x^2+12x-5

5 0
3 years ago
Solve for x 27^(2x+4)=1/9^(x-46)
lys-0071 [83]
27^{2x+4}=(\frac{1}{9})^{x-46} \\&#10;(3^3)^{2x+4}=(3^{-2})^{x-46} \\&#10;3^{3(2x+4)}=3^{-2(x-46)} \\&#10;3^{6x+12}=3^{-2x+92} \\&#10;6x+12=-2x+92 \\&#10;6x+2x=92-12 \\&#10;8x=80 \\&#10;x=10
8 0
3 years ago
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