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Bezzdna [24]
3 years ago
8

15) Victor drove 520 miles in 8 hours. At this rate how long will it take him to travel

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:17hrs

Step-by-step explanation:

520/8=65

1105/65

17

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Solve 3-(2x-5)<-4(x+2)
azamat

Answer:

Step-by-step explanation:

3-(2x-5)=-4(x+2)

We simplify the equation to the form, which is simple to understand

3-(2x-5)=-4(x+2)

Remove unnecessary parentheses

3-2x+5=-4*(x+2)

Reorder the terms in parentheses

3-2x+5=+(-4x-8)

Remove unnecessary parentheses

+3-2x+5=-4x-8

We move all terms containing x to the left and all other terms to the right.

-2x+4x=-8-3-5

We simplify left and right side of the equation.

+2x=-16

We divide both sides of the equation by 2 to get x.

x=-8

7 0
3 years ago
Read 2 more answers
What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6?
Artyom0805 [142]

Answer:

y=\frac{1}{6} (x-4)-\frac{9}{2}

Step-by-step explanation:

∵ The quadratic equation form is :

y = [1/2(b - k)] (x - a)² + (b + k)/2

Where (a , b) is the focus and directrix y = k

∵ The focus is (4 , -3) and directix is y = -6

∵ y=\frac{1}{2(-3-(-6))} (x-4)^{2}+\frac{(-3)+(-6)}{2}

∴ y=\frac{1}{6} (x - 4)^{2}+\frac{-9}{2}

∴ y=\frac{1}{6} (x-4)-\frac{9}{2}

another way:

Assume that (x , y) is the general point on the parabola

∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)

By using the distance rule:

∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)

∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9

∴ 12y - 6y = (x - 4)² + 9 - 36

∴ 6y = (x - 4)² - 27 ⇒ ÷ 6

∴ y = 1/6 (x - 4)² - 9/2

4 0
3 years ago
At the beginning of a basketball season, the Panthers won 20 games out of 80 games. At this rate, how many games will they win i
balu736 [363]
They will win 25 games in 100 game season at that rate.Since they win 5 games out of every 20.

The answer is 25
6 0
3 years ago
The specific gravity of a substance is the ratio of its weight to the weight of an equal volume of water. Kerosene weighs 0.82 g
netineya [11]

Answer:

The specific gravity of kerosene is 0.82

Step-by-step explanation:

Let

x -----> the weight in grams of a cubic centimeter of Kerosene

y ----> the weight in grams of a cubic centimeter of water

z ---> the specific gravity of a substance

so

z=\frac{x}{y}

we have

x=0.82\ g\\y=1\ g

substitute the values

z=\frac{0.82}{1}=0.82

8 0
3 years ago
Read 2 more answers
HI I need help please <br> Its in the pictures
Brut [27]
1.

r=32\,\text{units}\\\\&#10;A=\pi\cdot r^2=\pi\cdot32^2=1024\pi\,\,\text{units}^2

Answer D.

2.
From secant theorem, we know, that:

|AE|\cdot|BE|=|DE|\cdot|CE|

and from picture:

|BE|=x+1\\\\|CE|=x+4\\\\|AE|=11+x+1=x+12\\\\|DE|=1+x+4=x+5

So we can calculate:

|AE|\cdot|BE|=|DE|\cdot|CE|\\\\(x+12)\cdot(x+1)=(x+5)\cdot(x+4)\\\\&#10;x^2+12x+x+12=x^2+5x+4x+20\\\\&#10;x^2+13x+12=x^2+9x+20\quad|-x^2\\\\13x+12=9x+20\quad|-9x\\\\4x+12=20\quad|-12\\\\4x=8\quad|:4\\\\\boxed{x=2}
8 0
3 years ago
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