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3 years ago

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Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

It is an acute angle.

Jlenok [28]3 years ago

5 0

4n-15+3n = 90
7n-15=90
7n=105
n=15
4(15)-15
60-15
45

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What is the slope of the line below.? With the coordinates (8,8) and (5,5)

yarga [219]

To find slope, use the equation:

(y₂ - y₁)/(x₂ - x₁) = slope

Let:

(8,8) = (x₂, y₂)

(5,5) = (x₁, y₁)

Plug numbers into corresponding areas.

(8 - 5)/(8-5) = 3/3

3/3 = 1

The slope of the line is 1, or 1/1 (rise 1, run 1)

hope this helps

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4 years ago

Which equation represents a line which is perpendicular to the line y = -x + 8?

natima [27]

Two lines are perpendicular between each other if their slopes fulfills the following property

$m_1m_2=-1$

where m1 and m2 represents the slopes of line 1 an 2, respectively.

To find the slope of a line we can write it in the form slope-intercept form

$y=mx+b$

Our original line is

$y=-\frac{1}{8}x+8$

Then its slope is

$m_1=-\frac{1}{8}$

Now we have to find the slope of the second line. Using the first property,

$\begin{gathered} m_1m_2=-1_{} \\ -\frac{1}{8}m_2=-1_{} \\ m_2=(-1)(-8) \\ m_2=8 \end{gathered}$

Then the second line has to have a slope of 8.

The options given to us are:

$\begin{gathered} x+8y=8 \\ x-8y=-56 \\ 8x+y=5 \\ y-8x=4 \end{gathered}$

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

$\begin{gathered} x+8y=8\rightarrow y=-\frac{1}{8}x+1 \\ x-8y=-56\rightarrow y=\frac{1}{8}x+7 \\ 8x+y=5\rightarrow y=-8x+5 \\ y-8x=4\rightarrow y=8x+4 \end{gathered}$

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.

Then the line perpendicular to the original one is

$y-8x=4$

8 0

1 year ago

at 4:00 am the temperature is -9°F at noon the temperature was 18°F what was the change in temperture

AlladinOne [14]

I am pretty sure it is 27 degrees

3 0

3 years ago

Read 2 more answers

Simplify 4x/7-x/21 find

o-na [289]

The answer is 11x/21

Please see the attached picture for full solution

Hope it helps 

Good luck on your assignment

8 0

3 years ago

Read 2 more answers

Find the measure of the angle indicated in bold

Marianna [84]

Answer:

x=5

Step-by-step explanation:

hey there

the angles given are corresponding angles meaning that they are congruent

so we set up an equation

23x-5=21x+5

step 1 subtract each side by 5

5-5 cancels out

-5-5=-10

now we have

23x-10=21x

step 2 subtract each side by 23x

21x-23x=-2x

now we have

-2x=-10

step 3 divide each side by 2

-10/-2=5

so we can conclude that

x=5

4 0

3 years ago