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3 years ago

What is the slope of a line perpendicular to the line whose equation is

Mathematics

1 answer:

jonny [76]3 years ago

3 0

Answer:

$- \frac{1}{2}$

Step-by-step explanation:

How do we find the line that's perpendicular to another?

We find the negative reciprocal. So for example if our slope is 2, the negative reciprocal would be $- \frac{1}{2}$ .

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A van travels 125 miles on 5 gallons of gas. Find the distance the van can travel if the fuel tank contains 12 gallons of gas???

kobusy [5.1K]

Answer:

300 miles

Step-by-step explanation:

125/5 = 25 mpg

12 x 25 = 300 miles

8 0

2 years ago

If 9^2x = 27/3^x+2, then find the value of x (a) 1/6 (b) 1)5 (c) -2/3 (d) 1/8

Tems11 [23]

Step-by-step explanation:

We know, 9 to the power of 2 is 81

so it will be 81x

so its 81* a/b/c/d = 27/3 to the power of a/b/c/d +2

Solve for all answered!

6 0

2 years ago

Read 2 more answers

The coordinates of the endpoints of AB are A(-4, 3 ) and B ( 1, -3 ). Which measurment is closet to the length AB in units.

k0ka [10]

Note: Since you may have probably unintentionally forgotten to add the choices, but I am solving this question as it would still help you clearing your concept and determining the correct choice.

Answer:

The measurement is closet to the length AB will be $\sqrt{61}=7.81$ units

Step-by-step explanation:

As the coordinates of the endpoints of AB are

A(-4, 3 )
B( 1, -3 )

As we know that the distance between two points is basically termed as the length of the line segment AB connecting them

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

So,

$\mathrm{The\:distance\:between\:}\left(-4,\:3\right)\mathrm{\:and\:}\left(1,\:-3\right)\mathrm{\:is\:}$

$=\sqrt{\left(1-\left(-4\right)\right)^2+\left(-3-3\right)^2}$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\sqrt{\left(1+4\right)^2+\left(-3-3\right)^2}$

$=\sqrt{5^2+6^2}$

$=\sqrt{25+36}$

$=\sqrt{61}$

$=7.81$ units

So, the length AB or the distance between two points A(-4, 3 ) and

B ( 1, -3 ) will be $\sqrt{61}=7.81$ units

Therefore, the measurement is closet to the length AB will be $\sqrt{61}=7.81$ units

Keywords: distance between two points, distance formula

Learn more about distance between two points from brainly.com/question/9231324

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5 0

2 years ago

Read 2 more answers

Fill out the information below for the following graph of a quadratic function. Please Help!!

Inessa [10]

Answer:

Please refer to the images attached below.

Step-by-step explanation:

Quadratic Functions are functions of degree 2. The graph of any quadratic function is a parabola that has a vertex and axis of symmetry.

Some Properties of Graph Translations

1. y=a(x-h)^2+ky=a(x−h)

This means that the new function is translated h units to the right and k units going up.

2. y=a(x-h)^2-ky=a(x−h)

−k

This means that the new function is translated h units to the right and k units going down.

3. y=a(x+h)^2+ky=a(x+h)

This means that the new function is translated h units to the left and k units going up.

4. y=a(x+h)^2-ky=a(x+h)

−k

This means that the new function is translated h units to the left and k units going down.

First, let's graph the function y=3x^2+3y=3x

+3 . The vertex is at the point (0,3)(0,3) . Please refer to Figure 1 below.

Now, start from the vertex of the first function, (0,3)(0,3) , as you notice that the function y=3(x-3)^2+1y=3(x−3)

+1 is 3 units translation to right and one unit translation going up. This means that the new vertex is the point (3,1)(3,1) .Please refer to Figure 2.

For the function, y=3(x+3)^2-1y=3(x+3)

−1 , start from the vertex of the first function, (0,3)(0,3) , then make a translation of 3 units to the left and a translation of 1 unit down. This gives us a new vertex of (-1, -3)(−1,−3) . Please refer to Figure 3.

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To learn more about quadratic functions, go to

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Step-by-step explanation:

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6 0

2 years ago

The difference between a frequency histogram and a relative frequency histogram is that the relative frequency histogram indicat

Ede4ka [16]

Answer: d. percentage of observations on the vertical (y) axis, whereas a frequency histogram indicates counts.

Step-by-step explanation:

A frequency histogram is a graph showing the frequency for the occurrence of an outcome in a data set. A frequency histogram is used to organize data thereby making the data easy to comprehend.

A frequency histogram is a graph that shows how the number of times a particular thing happens, and this is shown in percentages.

Fir an histogram, the horizontal axis is a number line that contains classes of uniform length while the frequency or count is represented on the vertical axis.

The difference between a frequency histogram and a relative frequency histogram is that the relative frequency histogram indicates percentage of observations on the vertical (y) axis, whereas a frequency histogram indicates counts.

Therefore, option d is correct.

6 0

3 years ago