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2 years ago

Find the slope of the line.

Mathematics

2 answers:

BartSMP [9]2 years ago

8 0

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4 ) ← 2 points on the line

m = $\frac{4-0}{1-0}$ = $\frac{4}{1}$ = 4

ira [324]2 years ago

7 0

There it is i found it :)

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Toby skated from his house to the beach at a constant speed of 8 88 kilometers per hour, and then skated from the beach to the p

miss Akunina [59]

Answer:

8b+7p=20

p=2b

Step-by-step explanation:

You're welcome. Thou shall complete thou work without any trouble.

3 0

3 years ago

At the beginning of the year, Sadie had $70 in savings and saved an additional $18 each week thereafter. Jack started the year w

Naddik [55]

Answer:

Step-by-step explanation:

Step one:

For Sadie

initial savings balance= $70

weekly savings = $18

Let S represent the amount of money Sadie has saved

and t the number of weeks after the beginning of the year

The total amount in savings after t weeks is

S=18t+70-------1

For Jack

initial savings balance= $90

weekly savings = $14

Let J represent the amount of money Jack has saved

and t the number of weeks after the beginning of the year

The total amount in savings after t weeks is

J=14t+90---------2

Step two

equation 1 and 2 to find t

18t+70=14t+90

18t-14t=90-70

4t=20

divide both sides by 4

t=20/4

t=5 weeks

so after 5 weeks Sadie and Jack will have the same amount of money

For Sadle t=5

S=18(5)+70-------1

S=90+70

S=$160

For Jack t=5

J=14(5)+90---------2

J=70+90

J=160

The two equations above shows that after 5 weeks their savings will be $160

4 0

3 years ago

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

-36.12 divided by -5 3/5

Nataliya [291]

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

5 0

2 years ago

Evaluate the polynomial function p (x) = 2x4 - 3x2 + x - 1 to find p (-1).

Alisiya [41]

$p(x)=2x^4-3x^2+x-1\\\\
Substitude\ p=-1\ into\ equation\\\\
p(-1)=2x^4-3x^2+x-1=2*(-1)^4-3(-1)^2-1-1=\\2*1-3*1-2=2-3-2=-3\\Answer\ p(-1)=-3$

7 0

3 years ago