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2 years ago

Given point P(-8,5) and point Q(-2,1), what is the slope of a line that passes through

1 answer:

7 0

To find the slope of a line, use this formula:
m = (y2-y1)/(x2-x1) where m is the slope, and (x1, y1) and (x2, y2) are points.

If I plug points P and Q into the slope formula, we get:

(1-5)/(-2+8) = -4/6 = -2/3

The slope is -2/3

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A researcher at a large company has collected data on both the beginning salary and the current salary of 48 randomly selected e

Stolb23 [73]

Answer:

dgrfgfgrfsdfsg

Step-by-step explanation:

aeswrfehghfdgsgbgdfhtgrtfdgf

3 0

2 years ago

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago

The dose of a strong cough medicine might be which of the following? 2mL, 200mL, 2L

Margarita [4]

To find the answer,we can picture how much the above value is by objects in real life.

2mL = about two drops of water

200mL = about a carton of milk/ a box of ornage juice

2L = 2000 × 10 mL = 20000 mL = The bottle of drinks that are in family/party size.

As we only take in small dosages of medicine, the best option would be 2mL.

Hope it helps!

6 0

3 years ago

Edward walks at a pace 2 1/4 miles in 2/3 hour. How many miles does Edward walk per hour

GuDViN [60]

Divide distance walked by time:

2 1/4 miles / 2/3 hours = 3 3/8 miles per hour

8 0

3 years ago

Please help me for this question

rosijanka [135]

The volume of the given trapezoidal prism is 312 cubic units.

Step-by-step explanation:

Step 1:

To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.

The area of a trapezoidal surface, $A = \frac{a+b}{2} (h).$

a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.

For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.

The area of the trapezoidal surface, $A = \frac{5+8}{2} (4) = 6.5(4) = 26.$

So the area of the trapezoidal surface is 26 square units.

Step 2:

To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.

The area is 26 square units and the height of the prism is 12 units.

The volume of the prism, $V= 26(12) = 312.$

The volume of the given trapezoidal prism is 312 cubic units.

7 0

3 years ago