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3 years ago

Write the equation of the line that passes through the points (2, 1) and (5, -8)

Mathematics

1 answer:

My name is Ann [436]3 years ago

4 0

Answer:

The answer is y = -3x + 7.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

$y = mx + b$

❃Incase you also forgot, what the slope formula is ☟

$m = \frac{y_2 - y_1}{x_2 - x_1}$

➊ First: We are going to be solving for the slope.

$m = \frac{ - 8 - 1}{5 - 2} = \frac{ - 9}{ \: \: \: 3} = - 3$

➋Second: We find the y-intercept.

$y = mx + b \\ 1 = - 3(2) + b \\ 1 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: }{7 = b}$

➌Third: Plug in.

$y = - 3x + 7$

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A meteorologist forecasted that Monday's hight temperature would be 76F. On Monday, the temperature reached 80F. What is the per

mihalych1998 [28]

Answer: 5%

Step-by-step explanation:

A meteorologist predicted that Monday's hight temperature would be 76F and on Monday, the temperature reached 80F.

The percentage error will be

Percentage error=

(Exact value-Forecasted value)/exact value x 100

= 76-80/80 × 100

= -4/80 × 100

=4/80 × 100

= 400/80

= 5%

The percentage error is 5%.

6 0

3 years ago

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute

zvonat [6]

Step 1

Find the equation in function notation

Let

h-------> the number of hours

y-------> the function for the walker fee in dollars

we know that

the hourly rate is $30\frac{\$}{hour}$

$y=6+30h$

in this linear equation

the independent variable is the variable h

the dependent variable is the variable y

Convert to function notation

Let

$f(h)=y$

$f(h)=6+30h$

Step 2

Find how much does the dog walker charge for a 45 minute walk

Convert the time in hours

$1\ hour=60\ minutes$

$45\ minutes=45/60=0.75\ hours$

substitute in the equation

For $h=0.75\ hours$

$f(0.75)=6+30*(0.75)=\$28.5$

therefore

the answer is

the dog walker charge for a 45 minute walk $\$28.5$

Statements

Step 3

The dependent variable is the number of hours true or false

The statement is false,

because the independent variable is the number of hours and the dependent variable is the walker fee in dollars

Step 4

The function for the walker fee is f(h)= 30h+6 true or false

The statement is True --------> see the Step 1

Step 5

The dog walker charges $22.5 for a 45 min walk true or false

The statement is False

Because the dog walker charges for a 45 minute walk $\$28.5$

5 0

3 years ago

Use cross products to demonstrate whether the two ratios are equivalent in this problem: 4 over 6 times 14 over 21

ExtremeBDS [4]

4/6 = 14/21 When using cross product always multiply the left fractions numerator times the right side fractions denominator and the left side fractions denominator times the right side fractions numerator 4×21 = 6×14 84=84 They are equivalent because they both equal 84

3 0

3 years ago

The ratio of two complementary angles is 5:4. Find the measure of both angles.

grandymaker [24]

Answer:

50 degrees and 40 degrees

Step-by-step explanation:

50 degrees and 40 degrees

complimentary = add up to 90 degrees

5:4:9

50:40:90

7 0