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3 years ago

Item 2

Mathematics

1 answer:

Klio2033 [76]3 years ago

4 0

Answer:

C, D

Step-by-step explanation:

These are the only correct statements about liquid volume. 1L= 1,000mL

A Liter is larger than a mL, a thousand times so.

A mL is smaller than a Liter, a thousand times so.

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Write the equation in slope-intercept form of the line that passes through

mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{4}{3}\left(x-12\right)$

Add 9 to both sides

$y-9+9=\frac{4}{3}\left(x-12\right)+9$

$y=\frac{4}{3}x-16+9$

$y=\frac{4}{3}x-7$

Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

7 0

3 years ago

Help I'll give you 100 points

Dvinal [7]

✏ Answer:

$y=-9$

Step-by-step explanation:

$2-\frac{1}{8}y=11+\frac{7}{8}y$

➠ Subtract 2 from both sides:-

 $2-\frac{1}{8}y-2=11+\frac{7}{8}y-2$

$-\frac{1}{8}y=\frac{7}{8}y+9$

➠ Subtract 7/8y from both sides:-

 $-\frac{1}{8}y-\frac{7}{8}y=\frac{7}{8}y+9-\frac{7}{8}y$

$-y=9$

➠ Divide both sides by -1:-

 $\frac{-y}{-1}=\frac{9}{-1}$

$y=-9$

OAmalOHopeO

✎--------------------------

7 0

3 years ago

Read 2 more answers

Multiply by 4, then divide by 2 First term: 60

harina [27]

IT IS SO FIRST YOU WANNA GO TO THIS LINK IT WILL SHOW YOU EVERY THING HERE IT IS DEz.........................................................................NUTS

3 0

3 years ago

Find the volume of the Firgure

Andrej [43]

The answer is of the figure is 24

7 0

3 years ago

Which function is graphed?

Alexandra [31]

Hey there! :)

Answer:

C. {x² + 4, x < 2

{-x + 4 x ≥ 2

Step-by-step explanation:

This is a piecewise function, where the two equations are different. They are:

y = x²+ 4

y = -x + 4

The function x² + 4 is graphed where x < 2. (< is used because the circle is open)

The function -x + 4 is graphed where x ≥ 2. (≥ is used since the endpoint is closed)

Therefore, the correct answer is:

C. x² + 4, x < 2

-x + 4 x ≥ 2

5 0

3 years ago