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3 years ago

Write the point-slope form of each graph. Use the red point to write your equation. State the point and slope.

Mathematics

1 answer:

Vinil7 [7]3 years ago

5 0

Answer:

First Graph:

Slope = - 4/5

Point-Slope Form: y - 3 = - 4/5 (x + 2)

Point: (-2, 3)

Second graph:

Slope = 4

Point-Slope Form: y + 6 = 4 (x + 1)

Point: (-1, -6)

Step-by-step explanation:

First graph has two points: (-2, 3) & (8, -5)

Use the two points to find the slope using the Slope-Formula

Slope-Formula: y2 - y1/x2 - x1

m = slope

m = - 5 - 3/8 - - 2

m = - 8/10

m = - 4/5

The slope of the line will be - 4/5

Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph

Two points: (-2, 3) & (8, -5)

Slope: - 4/5

Point-Slope Formula: y - y1 = m (x - x1)

Point-Slope Form: y - 3 = - 4/5 (x + 2)

The point will be: (-2, 3)

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What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60

Amanda [17]

The answer is: " x = 105.41 " .

_____________________________________________

Explanation:

_____________________________________________

Given: " 24 log (3x) = 60 " ; Solve for "x" .

The default is to assume "base 10" for the "logarithm".

_____________________________________________

Start by dividing each side of the equation by "24" ;

→ [ 24 log(3x) ] / 24 = 60 / 24 ;

to get:

_____________________________________________

log (3x) = 2.5 ;

_____________________________________________

Rewrite as: log₁₀ (3x) = 2.5 ;

_____________________________________________

Using the property of logarithms:

⇔ 10⁽²·⁵⁾ = 3x ;

↔ 3x = 10⁽²·⁵⁾ ;

→ 10^ (2.5) = 316.2277660168379332 ;

→ 3x = 316.227766016837933 ;

Divide each side of the equation by "3" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

→ 3x / 3 = 316.2277660168379332 / 3 ;

to get:

→ x = 105.4092553389459777333 ;

→ round to 2 (two) decimal places;

_____________________________________________

→ " x = 105.41 " .

_____________________________________________

Hope this helps!

Best wishes to you!

_____________________________________________

8 0

3 years ago

A container is filled with water. This container has a small hole. After 20 minutes the amount of water in the container is 600

Grace [21]

Answer:

100 minutes and yes

Step-by-step explanation:

4 0

2 years ago

Which of the following is the actual length of a window that is 1 1/4 inches long on a drawing with a scale of 1 inch =6 feet

DENIUS [597]

1.25/20=1x
1.25x=20
x=20/1.25=16
1 inch=16 feet

5 0

3 years ago

A 3 cm x 3 cm rectangle sits inside a circle with radius of 4 cm.

Ivanshal [37]

Step-by-step explanation:

you did not show us the picture or described what the shaded area is.

I assume it is the area of the circle without the inner square (as the "rectangke" is actually a square, because its sides are equally long).

so, we need to calculate the area of the circle and subtract the area of the square.

the area of the square is 3×3 = 9 cm².

the area of the circle is

pi×r²

with r being the radius.

so,

pi×4² = pi×16 = 16pi

the shaded area is then

16pi - 9 = 41.26548246... cm² ≈ 41.27 cm²

nothing of the answer options seems to be in that area, so maybe my assumption about the shaded area is wrong. or the specified answer options are mistyped. or both.

anyway, without additional information that is the best I can do.

8 0

2 years ago

The owners of a golf course hired a company to determine how many squirrels were living on their property. First, the company pu

muminat

Answer:

Squirrel population is 440 squirrels.

Step-by-step explanation:

It is given that there are 22 squirrels are marked.

Later the company returned and counted a total of 220 squirrels of which are marked were 11.

So, we can set up proportional equation to find the squirrel population.

Let squirrel population is x.

We can set up proportional equation as

$\frac{11}{220}=\frac{22}{x}$

Cross multiply

11 x=4840

Divide both sides by 11

x=440

Best estimate is 440.

6 0

3 years ago