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3 years ago

Which point is an exact solution to the system y = -6(0.75)x and y = 4(x - 1)? (0, -6) (-1, -8) (-2, -12) (-4.5, -22)

Mathematics

1 answer:

jekas [21]3 years ago

3 0

So if your solution -6(0.75)x=4(x-1)^2 is the answer

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Find the radius. Round to the nearest tenth.

Arlecino [84]

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

r = ?

pi = 3.14

h = 17 cm

3*V = pi * r^2 h = r^2 Divide by pi

3*V/pi = r^2 h = r^2 Divide by h

3*V/(pi*h) =r^2 Take the square root of the left to get just r

sqrt(3*V/(pi*h)) = r Now solve the equation.

sqrt(3*538.25 /(3.14*17)) = r

sqrt(1614 / 53.38) =

r = sqrt(30.24)

r = 5.493

6 0

2 years ago

What is the slope of a line with endpoints (-11,5) and (5,-7)

krok68 [10]

Answer:

-6/8

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where (X1,y1) is (-11,5) and (X2,y2) is(5,-7)

Slope=5+7/-11-5

=-12/16

= -6/8

So the slope is -6/8

3 0

3 years ago

Read 2 more answers

The distance between the two points rounding to the nearest tenth (-8,-6) and (-3,-4)

Lesechka [4]

Answer:

5.4

Step-by-step explanation:

To find the distance between two points, $(x_1,y_1)$ and $(x_2,y_2)$ , plug them into the following equation:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(-3-(-8))^2+(-4-(-6))^2}$

Two negatives make a positive

$d=\sqrt{(-3+8)^2+(-4+6)^2}\\d=\sqrt{(5)^2+(2)^2}\\d=\sqrt{25+4}\\d=\sqrt{29}\\d=5.4$

Therefore, the distance between the two points rounded to the nearest tenth is 5.4.

I hope this helps!

3 0

3 years ago

If there are approximately 1.8 million cars in Vancouver and if each car travels an average of 17,500 kilometres in a year, how

Goryan [66]

Rates are used to measure a quantity over another.

The 1.8 million cars use $1.85 \times 10^{10}$ liters each year

Given

$Cars = 1.8\ million$

$d = 17500km$ --- distance

$r = 40miles/gallon$

First, we calculate the number (n) of gallons used by each car

$r = \frac{d}{n}$

Solve for n

$n = \frac{d}{r}$

So, we have:

$n = \frac{17500km}{40miles/gallon}$

$n = \frac{17500km}{40miles}gallon$

Convert miles to kilometers

$n = \frac{17500km}{40km \times 1.60934}gallon$

$n = \frac{17500km}{64.3738km}gallon$

$n = 271.85\ gallon$

The number of gallons (N), used by all the cars is:

$N = n \times cars$

$N = 271.85 \times 1.8\ million$

$N = 489330000$

Convert to liters

$N = 489330000 \times 3.78541L$

$N = 1852314675.3L$

In scientific notation to 2 decimal places, we have:

$N = 1.85 \times 10^{10}L$

Hence, the number of liters used is $1.85 \times 10^{10}$

Read more about distance and rates at:

brainly.com/question/24659604

4 0

3 years ago

You score 15 16 17 14 and 19 points out of 20 possible points that I test what must you score on the 6th test to have average of

Lelu [443]

Hello! To find the answer to this, we must add all of the first 5 numbers. When you do that, the sum should be 81. You must do 16 * 6 to find the number of points combined he needs to add up to the average. 16 * 6 = 96. 96 - 81 = 15. On the 6th test, you must score 15 points to have an average of 16 points. The answer is 15.

8 0

4 years ago