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2 years ago

A car is 180 inches long.A truck is 75% longer than the car. How long is the truck?

Mathematics

1 answer:

Maru [420]2 years ago

4 0

Answer:

try dividing those numbers/

Step-by-step explanation:

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A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

4 0

1 year ago

What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0

NeTakaya

Answer:

Step-by-step explanation:

(x²-6x)+(y²+8y)=-21

(x²-6x+9)+(y²+8y+16)=-21+9+16

(x-3)²+(y+4)²=4

center=(3,-4),radius=√4=2

7 0

2 years ago

The original price of a game system was reduced by $99.

Sladkaya [172]

P-99 as you would subtract 99 from original

8 0

2 years ago

An arrow is shot vertically upward at a rate of 230 feet per second. Use the projectile formula h = −16t2 + v0t to determine at

maxonik [38]

Answer:

The question gives you V0 as 220, so plug that in first.

h=-16t2+220t.

Then it says to find the time (solve for t), when the height is 400 ft. Plug 500 ft in as h and solve for t.

500=-16t2+220t.

To solve this, set the quadratic equal to 0 by subtracting 500 from both sides (0=-16t2+220t-500) and use the quadratic formula!

Step-by-step explanation:

5 0

1 month ago

I've asked this question 3 times so plz answer

FrozenT [24]

Answer:

Step-by-step explanation:

It makes the equation false because the answer on one side is false.

2(-4) + 0 = -8(-4) - 0 = -4

-8 + 0 = 32 - 0 = -4

-8 = 32 = -4

-8 does not equal 32. The equation is unbalanced.

So, the answer will be C) The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false.

Hope this helps

-Amelia

6 0

2 years ago