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2 years ago

Write the equation of the given line in slope intercept form (2,3) (8,6)

Mathematics

1 answer:

Dominik [7]2 years ago

7 0

Answer:

y = 1/2x + 2

Step-by-step explanation:

slope:

6 - 3 / 8 - 2 = 3 / 6 = 1/2

start by putting it in point slope form and then simplify it to slope intercept form:

y - 3 = 1/2(x - 2)

y - 3 = 1/2x - 1

y = 1/2x + 2

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Can someone help with explanation please:)

il63 [147K]

Answer:

Step-by-step explanation:

Volume of triangular prism:

$V_{1}$ = $A_{base}$ × H

Volume of triangular pyramid:

$V_{2}$ = $\frac{A_{base} *H}{3}$

The total volume of figure is

V = $V_{1}$ + $V_{2}$

5 0

1 year ago

Show calculations for each of the ratio table

Sladkaya [172]

Answer:

From left to right:

3, 30, 20

Step-by-step explanation:

Start by determining the ratio of yellow to red paint. Use the column where both amounts are given:

yellow to red = 2 to 6 = 1 to 3

2 to 6 the same as 1 to 3 when reduced, by dividing both sides by 2.

This means yellow paint is a third of red paint. Backwards, red paint is three times yellow paint.

To go from yellow to red, do yellow X 3.

To go from red to yellow, do red ÷ 3.

Column 1:

1 X 3 = 3

Column 3:

10 X 3 = 30

Column 4:

60 ÷ 3 = 20

The ratios are:

1 to 3

2 to 6

10 to 30

20 to 60

4 0

3 years ago

Write an equation of the line shown. Then use the equation to find the value of x when y=112

PtichkaEL [24]

Answer:

$y = 8x + 16$

$x = 12$

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format $y = mx + b$ .

Where,

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

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

$(0, 16) = (x_1, y_1)$

$(3, 40) = (x_2, y_2)$

$slope (m) = \frac{40 - 16}{3 - 0}$

$slope (m) = \frac{24}{3}$

$slope (m) = 8$

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

$y = mx + b$

$16 = 8(0) + b$

$16 = 0 + b$

$16 = b$

$b = 16$

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

$y = mx + b$

$y = 8x + 16$

Let's use the equation to find x when y = 112.

$y = 8x + 16$

Substitute y = 112 in the equation

$112 = 8x + 16$

$112 - 16 = 8x$

$96 = 8x$

Divide both sides by 8

$12 = x$

$x = 12$

8 0

2 years ago

A baseball player throws a baseball from a height of 1 m above the ground and its height is given by the equation h= -3.2^2+ 12.

Bingel [31]

Answer:

4.1 sec

Step-by-step explanation:

h(t)=-3.2t^2+12.8t+1

h(t)=-3.2(t^2-4t)+1

h(t)=-3.2(t^2-4t+4-4)+1

h(t)=13.8-3.2(t-2)^2

For the ball to touch ground, h(t)=0.

13.8-3.2(t-2)^2=0

(t-2)=2.0766

t=4.07≈4.1 sec.

5 0

2 years ago

Which equation represents a proportional relationship?

amm1812

Answer:

5x+2

Step-by-step explanation:

I think it is 5x+2

8 0

2 years ago