All categories

3 years ago

D.) A line that has a slope of 3, and goes through the point (2,8); answer in point-slope form.

Mathematics

1 answer:

PIT_PIT [208]3 years ago

8 0

Answer:

y - 8 = 3(x - 2)

Step-by-step explanation:

Start with the basic point-slope form of the equation of a straight line:

y - k = m(x - h). Here the given point is (2, 8), so assign the value 2 to h and the value 8 to k, also the value 3 to m. Then:

y - 8 = 3(x - 2)

You might be interested in

6 over 7 subtracted by 1 over 7

Rus_ich [418]

Answer:

5/7

Step-by-step explanation:

6/7-1/7=5/7

5 0

3 years ago

Read 2 more answers

If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?

DochEvi [55]

$\bf \begin{cases}
(f\circ g)(x)=x^2-6x+8\\\\
(f\circ g)(x)=f(~~g(x)~~)\\\\
g(x)=x-3\\
\end{cases}
\\\\\\
\textit{now, one probability is }x^2-1
\\\\\\
f(x)=x^2-1\implies f(~~g(x)~~)=(x-3)^2-1
\\\\\\
f(~~g(x)~~)=(x^2-6x+9)-1\implies f(~~g(x)~~)=x^2-6x+8$

5 0

3 years ago

A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest tenths place?

Ronch [10]

<h3>Answer:</h3>

301.6 cubic meters

<h3>Step-by-step explanation:</h3>

A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description.

Volume Formula

A circular cylinder has a volume of $V=\pi r^2h$ . In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.

Solving for Volume

To solve plug the values into the formula and rewrite the equation.

$V=\pi *4^2*6$

Next, apply the exponents.

$V=\pi *16*6$

Then, multiply the constants.

$V=\pi *96$

Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.

$V=301.6$

Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.

6 0

2 years ago

If a kid is 145 cm and he owns an eraser that is 6.8 cm long, 1.5 cm wide, and 1.5 cm tall. If a scientist shoots him with an en

never [62]

To answer this you’d have to use an 2 step equation 145x= 1000
When u get the answer for x multiply the answer by the erasers original area to find the area of the eraser it would be lengthtimes width times height

4 0

3 years ago

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Mrac [35]

The equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

We have two points shown in the table:

(-1, -10), and (3, 14)

$\rm (y - 14 )= \dfrac{14+10}{3+1}(x-3)$

y - 14 = 6(x - 3)

y = 6x - 4

Thus, the equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

Learn more about the slope of the straight line here:

brainly.com/question/3493733

#SPJ1

6 0

2 years ago