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Masteriza [31]
3 years ago
10

What is the slope of the line?

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

The slope of the line is 3.

Step-by-step explanation:

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Equation of the line (-6,5) and (8,14) in standard form
blsea [12.9K]

Answer:

\huge\boxed{9x-14y=-70}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-6, 5) and (8, 14).

Substitute:

m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)

Thew standard form of an equation of a line:

Ax+By=C

transform:

y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70

4 0
3 years ago
Javier used the expression below to represent his score in a game of mini-golf.
strojnjashka [21]

Simplify by combing like terms to get 2x+5

The answers would be:

the coefficient is 2

the constant is 5

There are two terms.

6 0
3 years ago
Read 2 more answers
Find the weight of the cast iron shape shown below at 0.26 pounds per cubic inch. (round to the nearest pound). The height of th
weqwewe [10]

Answer:

<u>640 pounds </u>

Step-by-step explanation:

The rest of the question is the attached figure

So, the total volume = V(cylinder ) + V(cone)

The volume of cylinder = π r² h

The volume of cone = π r² h/3

Both of the cylinder and the cone have the same diameter = 14 inches

So, the radius = 14/2 = 7 inches

The height of the cylinder is 13 inches and the height of the cone is 9 inches.

So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³

And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³

So, the total volume = 2,001.2 + 461.8 = 2,463 in³

So, the total weight = 0.26 pounds per cubic inch times the total volume

                                = 0.26 * 2463 = 640.38 pounds

                                = <u>640 pounds (to the nearest pound)</u>

6 0
3 years ago
Explain how to draw a circle with a circumference of pi^2 inches.
wariber [46]

Answer:

here can you give me brainliest

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP!!<br><br> what is the arrow pointing to? (l<br><br> CHECK THE PHOTO
evablogger [386]

Answer:

3.7

Step-by-step explanation:

each tick represents .1 unit

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3 years ago
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