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3 years ago

Find the slope of the line through the pair of points a (2,-3) p(2,9)

1 answer:

6 0

(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)

To determine the slope using two points lie on the line, we could use the following formula
m = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

plug in the numbers
m = $\dfrac{9-(-3)}{2-2}$
m = $\dfrac{9+3}{0}$
m = $\dfrac{12}{0}$
m = undefined

The slope is undefined, the line is vertical

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Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?

Flura [38]

Answer:

The value to the given expression is 8

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3$

To find the value of the given expression:

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}$

( By using the property ( $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}$

( By using the property $(ab)^m=a^mb^m$ )

$=\frac{(10^{12})(5^6)}{(10^9)(5^9)}$

( By using the property $(a^m)^n=a^{mn}$ )

$=(10^{12})(5^6)(10^{-9})(5^{-9})$

( By using the property $\frac{1}{a^m}=a^{-m}$ )

$=(10^{12-9})(5^{6-9})$ (By using the property $a^m.b^n=a^{m+n}$ )

$=(10^3)(5^{-3})$

$=\frac{10^3}{5^3}$ ( By using the property $a^{-m}=\frac{1}{a^m}$ )

$=\frac{1000}{125}$

$=8$

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Therefore the value to the given expression is 8

3 0

3 years ago

Read 2 more answers

Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4 inches. What would be the m

jeyben [28]

Answer:

Width-6

height-3

I determinded the width and the height by counting how many cubic blocks there are up and down.

Step-by-step explanation:

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3 years ago

Find the solution of the system of equations.

avanturin [10]

Answer:

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

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(Combine similar terms.)

3x - 4x = - 8

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- x/- 1 = - 8/- 1

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Final Answer:

Checking:

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1/2 = 1/2 ✔

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3 years ago

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Nadusha1986 [10]

Answer:

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Step-by-step explanation:

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3 years ago

I need help n explainnnn please

kobusy [5.1K]

The Correct option is D). y=1x+1 And y=2x+2

Step-by-step explanation:

The equation of a line is given as y=mx+c.

where m=slope of line and c=y intercept

The slope of line is given as m= $\frac{(Y2-Y1)}{(X2-X1)}$

Solving for Redline:

From the given graph, redline passes through (-1,0) and (0,1)

The slope of Redline is m= $\frac{(Y2-Y1)}{(X2-X1)}$

The slope of Redline is m= $\frac{(1-0)}{(0-(-1))}$

The slope of Redline is m=(1)

And Y-intercept is 1

The equation of a Redline is given as y=1x+1

Solving for Blue-line:

From the given graph, Blue-line passes through (-1,0) and (0,2)

The slope of Blue-line is m= $\frac{(Y2-Y1)}{(X2-X1)}$

The slope of Blue-line is m= $\frac{(2-0)}{(0-(-1))}$

The slope of Blue-line is m=(2)

And Y-intercept is 2

The equation of a Blue-line is given as y=2x+2

The Correct option is D). y=1x+1 And y=2x+2

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3 years ago