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3 years ago

Find the point on the line and the lines slope y+1=-3/2(x+7)

Mathematics

1 answer:

klemol [59]3 years ago

8 0

Answer:

A point on the line would be (-3, -7) and the slope if -3/2

Step-by-step explanation:

We can find a point on the line by choosing any value for x and putting it in to the equation. Then we can find the y value. For the purpose of this problem, we will use x = -3.

y + 1 = -3/2(x + 7)

y + 1 = -3/2(-3 + 7)

y + 1 = -3/2(4)

y + 1 = -6

y = -7

And we can find the slope simply by looking for the number outside of the parenthesis on the right side of the equal sign (-3/2)

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The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of

Yakvenalex [24]

Answer:

81 square inches.

Step-by-step explanation:

Draw a diagram to represent what you know.

You don't know the values of the lengths so represent them algebraically.

You know the perimeter is 45 inches and that the perimeter is calculated by the sum of all of the sides of a shape.

You can rearrange to find the value of a side you've denoted as some unknown variable.

The area is given by the product of the sides. Express this algebraically and then input the value you found.

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3 years ago

Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo

zmey [24]

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0

3 years ago

How to find an equation for a line through two given points?

xz_007 [3.2K]

Answer:

The equation of the line is: $y = 0.6x + 0.6$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Two points:

We have these following two points in this exercise:

x = -6, y = -3, so (-6,-3)

x = 4, y = 3, so (4,3)

Finding the slope:

Given two points, the slope is given by the change in y divided by the change in x.

Change in y: 3 - (-3) = 3 + 3 = 6

Change in x: 4 - (-6) = 4 + 6 = 10

$m = \frac{6}{10} = 0.6$

Then

$y = 0.6x + b$

Finding b:

We replace one of the points in the equation to find b. I will use (4,3).

$y = 0.6x + b$

$3 = 0.6*4 + b$

$2.4 + b = 3$

$b = 0.6$

The equation of the line is: $y = 0.6x + 0.6$

4 0

3 years ago

Which equation is equivalent to <br> f(x) =-4(x+7)^2-6

Vladimir [108]

Answer:

-4x-34

Step-by-step explanation:=−4x+−28+−6

=(−4x)+(−28+−6)

=−4x+−34

3 0

3 years ago

a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder

Morgarella [4.7K]

$Area\ of\ base:A_B=169\pi\ ft^2\\\\A_B=\pi r^2\ \ \ (r-radius)\\\\\pi r^2=169\pi\ \ \ /:\pi\\\\r^2=169\\\\r=\sqrt{169}\\\\r=13\ (ft)\\\\H=2r\to H=2\cdot13=26\ (ft)$

$
lateral\ area:A_L=2\pi rH\\\\A_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\\\\Surface\ area:A_S=2A_B+A_L\\\\A_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)$

5 0

3 years ago

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