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3 years ago

Find the slope of the line that passes through the given points (7, 3) and (13, 8)

Mathematics

1 answer:

k0ka [10]3 years ago

4 0

Answer:

The slope is 5/8.

Step-by-step explanation:

Use the slope formula:

m = y2 - y1 / x2 - x1

Plug in the numbers from the ordered pairs:

m = 8 - 3 / 13 - 7

m = 5/8

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an artist painted a 6 foot tall painting, then decide to also create a smaller version. if she uses a scale of 4 inches=1.5 feet

Nina [5.8K]

Let
x----------------- > the height of the smaller painting
y-----------------> the height of the tall painting-----------> 6 ft

the scale factor is-------------- > x/y
(x/y)=(4 in)/(1.5 ft)
x=y*[(4 in)/(1.5 ft)]-------> 6*(4 in)/(1.5 ft)=16 in

the answer is x=16 in

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3 years ago

What is the solution to the equation? (-9x+5)^1/2=(3+4x)1/2

Phoenix [80]

x in (-oo:+oo)

((5-9*x)^1)/2 = ((4*x+3)^1)/2 // - ((4*x+3)^1)/2

((5-9*x)^1)/2-(((4*x+3)^1)/2) = 0

(5-9*x)/2-((4*x+3)/2) = 0

(5-9*x)/2+(-1*(4*x+3))/2 = 0

5-1*(4*x+3)-9*x = 0

2-13*x = 0

(2-13*x)/2 = 0

(2-13*x)/2 = 0 // * 2

2-13*x = 0

2-13*x = 0 // - 2

-13*x = -2 // : -13

x = -2/(-13)

x = 2/13

x = 2/13

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4 years ago

Solve the inequality 5x7 < 2x - 1

Vanyuwa [196]

x is strictly less than 2 or x ∈ (-∞, 2)

Given: inequality 5x - 7 < 2x - 1

What are inequalities?

Inequalities are statements that are represented as comparison between two or more numbers or algebraic expressions.(strictly less, strictly great, greater, lesser)

Solving the given equation:

5x - 7 < 2x - 1

=> 5x - 7 - 2x < 2x - 1 - 2x

=> 3x - 7 < -1

=> 3x - 7 + 7 < -1 + 7

=> 3x < 6

=> x < 2

Therefore, x is strictly less than 2.

Hence x ∈ (-∞, 2)

The number line is attached below.

Know more about "inequalities" here: brainly.com/question/20383699

#SPJ9

Disclaimer: The given question is incomplete. The complete question is given below.

Solve the inequality 5x - 7 < 2x - 1

On the number line, represent the solution

(number line -5 to 5)

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1 year ago

Are the following triangles similar? Justify your answer.

Readme [11.4K]

if the triangles are indeed similar, then their corresponding sides will yield the same proportion or ratio, let's check, △MDC has 3 sides, a small one a medium and a large, same is true for △LON, so let's use hmmm say the small side of each and the medium side of each, to see if their ratio matches. Check the picture below.

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3 years ago

The local carnival grounds are in the shape of a rectangle. The area of the grounds is 0.125 square mile. The length of the grou

Sliva [168]

Answer:

Step-by-step explanation:

Width = x

Length = 2x

Area of the ground = 0.125 square mile

length * width = 0.125

2x * x = 0.125

2x² = 0.125

x² = $\frac{0.125}{2}\\\\$

= 0.0625

$x^{2}=\frac{625}{10000}\\\\x=\sqrt{\frac{625}{10000}}\\\\ x=\frac{25}{100}\\\\x=0.25$

Width = 0.25 miles

Length = 2* 0.25 = 0.50 miles

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3 years ago

Find the slope of the line that passes through the given points (7, 3) and (13, 8)​

Find the slope of the line that passes through the given points (7, 3) and (13, 8)