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3 years ago

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Mathematics

2 answers:

Xelga [282]3 years ago

5 0

Answer:

The required equation of line is y=-6x-57.

Step-by-step explanation:

The point slope form of a line is

$y-y_1=m(x-x_1)$

Where m is slope of the line.

It is given that a line that passes through (–9, –3) and has a slope of –6.

Substitute m=-6, x₁=-9 and y₁=-3 in the above equation.

$y-(-3)=-6(x-(-9))$

$y+3=-6x-54$

Subtract 3 from both the sides.

$y=-6x-54-3$

$y=-6x-57$

Therefore the required equation of line is y=-6x-57.

sergey [27]3 years ago

5 0

Answer:

D).y+3=-6(x+9)

Step-by-step explanation:

took it on edge

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A function follows the rule y = -75 - 5x. When the function's output is 25, the equation is 25 = -75 - 5x. What is the function

svetlana [45]

Answer:

The function input is -20 when the output is 25

Step-by-step explanation:

we have

$y=-75-5x$

where

y is the dependent variable or output

x is the independent variable or input

If the output is 25

then

y=25

substitute

$25=-75-5x$

Solve for the function input is the same that solve for x

Isolate the variable x

Adds 5x both sides

$25+5x=-75-5x+5x$

$25+5x=-75$

subtract 25 both sides

$25+5x-25=-75-25$

$5x=-100$

Divide by 5 both sides

$x=-20$

therefore

The function input is -20 when the output is 25

4 0

3 years ago

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60 is 20% of what number?

ddd [48]

Answer:

300

Step-by-step explanation:

if 20% is 60 then try to find the 100% by multiplying

20% = 60

100% = x

100 × 60 = 20x

x = 300

6 0

4 years ago

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(2.01)A polygon is shown on the graph:

romanna [79]

3 units down would be subtracting 3 from the Y values and 4 units left would be subtracting 4 from the X values

Point A is at (2,-1)

The new point would be at (2-4, -1 -3) = (-2,-4)

Point B is at (1,-4)

The new point would be at (1-4, -4 -3) = (-3,-7)

Point C is at (3,-5)

The new point would be at (3-4, -5-3) = (-1,-8)

Point D is at (5,-3)

The new point would be (5-4, -3-3) = (1,-6)

So the new location would be:

A' (-2,-4)

B' (-3,-7)

C' (-1,-8)

D' (1,-6)

8 0

3 years ago

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Graph the line that passes through the point (0,-7) and (-3,-9) and determine the equation of the line

Blababa [14]

Answer:

The equation is y=2/3x-7

5 0

4 years ago

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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

3 years ago