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3 years ago

Find an equation of the line having the given slope containing the given point slope -9 through (1,-8)

Mathematics

1 answer:

Darya [45]3 years ago

4 0

Answer:

y = - 9x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = - 9, hence

y = - 9x + c ← is the partial equation

To find c substitute (1 , - 8) into the partial equation

- 8 = - 9 + c ⇒ c = - 8 + 9 = 1

y = - 9x + 1 ← equation of line

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Which statement is true about this function h(x) = 2^x-5

Marysya12 [62]

Answer:

$\frac{1}{32} x$

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism

sdas [7]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

$5^2+12^2=13^2$

$25+144=169$

$169=169$

So, the base of the prism is a right triangle.

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

$A_1=\dfrac{1}{2}\times 5\times 12$

$A_1=30$

The area of the base is equal to the area of the top, i.e., $A_2=30$ sq units.

Perimeter of the base is

$P=5+12+13$

$P=30$

The curved surface area of the prism is

$CSA=\text{Perimeter of the base}\times \text{Height of the prism}$

$CSA=30\times 7.5$

$CSA=225$

Now, the total area of the prism is

$A=A_1+A_2+CSA$

$A=30+30+225$

$A=285$

Therefore, the total surface area of the triangular prism is 285 square units.

5 0

2 years ago

A phone company charges $0.50 per minute and a connection fee of $1. If you were to represent the total cost y of an x minute ca

klasskru [66]

Answer:

Per minute value fee would be the slope of the line.

Step-by-step explanation:

Given:

Per minute charges by the phone company = $ 0.50

Connection fee (fixed) charged by company = $ 1.0

We have to represent the total cost in terms of y and also explain the slope of the line.

According to the question:

Let the number of minutes be "x" .

And the total cost charged be "y" .

So,

The total cost = (No. of minutes)(Per minute charge) + Connection fee

Re-arranging in term of x and y.

⇒ $total\ cost = (no.\ of\ minutes)(per\ minute\ charge) + connection\ fee$

⇒ $y=0.50(x)+1$ ...equation (i)

Slope- intercept form: $y=m(x) +b$ m is the slope and b is the y-is intercept.

⇒ Comparing equation (i) with the slope- intercept form.

⇒ $m=0.50$ and $b=1$

So,

The slope of the line is 0.50 which is also represented by the per minute value of the call.

Per minute value fee would be the slope of the line.

4 0

3 years ago

What is the equation of the slope which is 2 and (1‚8)

sergey [27]

Answer:

y=2x+6

Step-by-step explanation:

Graph the coordinates

Go up to over one or down two left on

Get your y-intercept

put in y=mx+b

6 0

2 years ago

Wesley can use the equation y=3x to calculate how far he has walked, where y represents the number of miles walked, and x repres

arlik [135]

16.5/3 = 5.5

Step-by-step explanation:

becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)

you need to devide distance by speed to get time.

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2 years ago