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3 years ago

Use a number line to solve 5+7

1 answer:

6 0

To start off, 5+7=12, so we already know how the number line will be laid out. We will have Point A on 5, and count up 7 units, plotting Point B on 12.

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What ordered pair is a solution for y-4=7(x-6)

777dan777 [17]

The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)

Step-by-step explanation:

The point-slope form of a linear equation is:

$y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line
$(x_{1},y_{1})$ is a point on the line

Any point on the line is a solution for the equation of the line

The solution of an equation is the values of x and y which make the left hand side is equal to the right hand side

∵ The equation is y - 4 = 7(x - 6)

- Compare the equation by the point-slope form above

∴ m = 7

∴ $x_{1}$ = 6 and $y_{1}$ = 4

- That means point (6 , 6) lies on the line

∴ Point (6 , 4) is a point on the line which represents the

given equation

∵ Any point on a line is a solution of the equation of that line

∴ (6 , 4) is a solution of the equation

The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)

Learn more:

You can learn more about the linear equations in brainly.com/question/1284310

#LearnwithBrainly

8 0

3 years ago

Karen earns $34,850 annually as an engineer. She single and supports her father. The state tax rate in her state is 3% of taxabl

Scorpion4ik [409]

Answer:

1,045.50$

Step-by-step explanation:

34,850 x .03 = 1,045.50

3 0

3 years ago

Evaluate the following when $a = 3$, $b = \frac14$, and $c = 5$: \[ \frac{b^{-1}}{ca^{-1} - ac^{-1}}. \] Thank you so much!

pickupchik [31]

$\dfrac{b^{-1}}{ca^{-1}-ac^{-1}}=\dfrac{\frac1b}{\frac ca-\frac ac}$

Multiply the numerator and denominator by $ac$ :

$\dfrac{\frac1b}{\frac ca-\frac ac}\cdot\dfrac{ac}{ac}=\dfrac{\frac{ac}b}{c-a}$

Since $b=\frac14$ , we have $b^{-1}=\frac1b=4$ . So substituting the values of a, b, and c gives us

$\dfrac{\frac{ac}b}{c-a}=\dfrac{3\cdot5\cdot4}{5-3}=\dfrac{60}2=\boxed{30}$

4 0

3 years ago

Read 2 more answers

A line that divides a shape into two equal parts is called

umka21 [38]

the answer is line symmetry

3 0

3 years ago

Express 38% as a decimal number.

Yuliya22 [10]

Answer:

Step-by-step explanation:

38/100=0.38

5 0

3 years ago