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3 years ago

Write an equation that represents the line

Mathematics

1 answer:

madam [21]3 years ago

4 0

Answer:

y = -2x - 3

Step-by-step explanation:

First, find slope (m) of the line using two points (0, -3) and (1, -5):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3)}{1 - 0} = \frac{-2}{1} = -2$

The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.

To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.

Thus:

y = -2x + (-3)

y = -2x - 3

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Find the Area of the figure below, composed of an isoceles trapezoid and one

MAVERICK [17]

Answer:

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can find the total area dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then

step one

find the area of the isosceles trapezoid using

$A=\frac{a+b}{2}*h$

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

$A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14$

Step two

find the area of the semicircle

the area of a circle is given by

$A_{c}=\pi \frac{d^{2}}{4}\\$

but, we need the area of half circle, we need divide this by 2

$A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}$

now the diameter of the semicircle is 2, put this value into the equation

$A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\$

find the total area

total area= area of the trapezoid +area of the semicircle

$total\ area= 14+\frac{\pi }{2} \\total\ area=15.6$

so, the total area is 15.6 square units

Have a good day.

5 0

4 years ago

Do question a,b,c,d plz

julsineya [31]

A) 13.25
B) 164.64
C) 57.1
D) 145173.954289 or 381.0172

A good calculator website is https://www.cymath.com/

4 0

3 years ago

Shaun collected $925 on the first day of a charity fundraiser. On the second day, he collected $728. By the third day, he had co

sergeinik [125]

A. There was a percent decrease of 21.3% from the first to the second day.

B. There was an increase of 21.6% from the second to the third day.

Step-by-step explanation:

Step 1; Shaun collected $925 the first day and $728 in the second day.So there has been a decrease in money collected. Percent decrease is given by dividing the difference in values by the actual value multiplied by 100.

% decrease = (difference in values / initial value) × 100

% decrease = (925 - 728)/ 925 × 100 = 197/925 × 100 = 21.297%.

This is rounded off to 21.3%.

Step 2; We need to calculate the money collected on the third day.

Money collected on the third day = Total money collected in three days - money collected on the first and second day. =$2,538 - ($925 + $728) = $2,538 - ($1,653) = $885.

Step 3; So Shaun collected $728 on the second day and $885 on the third day.So there has been an increase in money collected. Percent increase is given by dividing the difference in values by the actual value multiplied by 100.

% increase = (difference in values / initial value) × 100

% increase = (885 - 728)/ 728 × 100 = 157/728 × 100 = 21.565%.

This is rounded off to 21.6%.

8 0

3 years ago

101 99 20 are measurements of right triangles true or false

Masteriza [31]

Hi Barnesmy

101, 99, and 20 are measurements of right triangles.

Answer: A) True or the first option.

3 0

3 years ago

How do I simplify this in exponential expression

r-ruslan [8.4K]

It is d because you add the exponents

7 0

3 years ago