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Pie
2 years ago
10

Please hurry need help

Mathematics
1 answer:
schepotkina [342]2 years ago
5 0

Answer:

-11

Step-by-step explanation:

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The given line passes through the points and (-4, -3) and (4, 1).
Debora [2.8K]

Answer:

The equation of the line is y - 3 = -2(x + 4)

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line which passes through the points (x1 , y1) and

  (x2 , y2) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- The product of the slopes of the perpendicular lines = -1

- That means if the slope of a line is m then the slope of the

  perpendicular line to this line is -1/m

- The point-slope of the equation is y - y_{1}=m(x - x_{1})

* lets solve the problem

∵ A given line passes through points (-4 , -3) and (4 , 1)

∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1

∴ The slope of the line m=\frac{1-(-3)}{4-(-4)}=\frac{1+3}{4+4}=\frac{4}{8}=\frac{1}{2}

- The slope of the line perpendicular to this line is -1/m

∵ m = 1/2

∴ The slope of the perpendicular line is -2

- Lets find the equation of the line whose slope is -2 and passes

 through point (-4 , 3)

∵ x1 = -4 , y1 = 3

∵ m = -2

∵ y - y1 = m(x - x1)

∴ y - 3 = -2(x - (-4))

∴ y - 3 = -2(x + 4)

* The equation of the line is y - 3 = -2(x + 4)

4 0
3 years ago
Write a real-world problem that could be represented by the expression 3(23). Then explain how you could solve the problem menta
Natalija [7]
3(23) really means 3*23, or just 3 multiplied by 23.  For example: "Jana has 23 dollars.  Her friend John has $23, and his friend Jacob also has 23 dollars.  How much money do they have all together?"  To solve this problem mentally, you could break 3*23 into two numbers you're familiar with multiplying, like 20 and 3, and then add the numbers together.  For example: 3*20 + 3*3.  3*20=60, 3*3=9, and 60+9=69.  So, 3*23=69.
5 0
3 years ago
Can someone plz help me with this
Anna007 [38]
I’m not sure that this is 100% right but i would do tan37° x 12 to get: -10.1
7 0
3 years ago
In this exercise, we are conducting many hypothesis tests to test a claim. Assume that the null hypothesis is true. If 200 tests
Sindrei [870]

Answer:

196

Step-by-step explanation:

Given that the  significance level of 2% = α

Because the the null hypothesis is true so it is denoted by α it also defined as the level of significance =1 - confidence level  = 1 - 0.02 = 0.98.

So the number of the tests will incorrectly find significance:

=0.98×200=196

8 0
3 years ago
A scientist enlarged a circular portion of a microscope slide to make it easier to count the number of bacteria present in the s
Tema [17]

Answer:

Option B. 212.1\ cm^{2}

Step-by-step explanation:

step 1

Find the central angle of the shaded sector

Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)

so

Let

x -----> the measure of the central angle of the shaded sector

∠x+72°=180°

∠x=180°-72°=108°

step 2

Find the area of the circle

The area of the circle is

A=\pi r^{2}

we have

r=15\ cm

assume

\pi=3.1416

substitute

A=(3.1416)(15)^{2}

A=706.86\ cm^{2}

step 3

Find the area of the shaded sector

Remember that the area of the complete circle subtends a central angle of 360 degrees

so

by proportion find the area of a sector by a central angle of 108 degrees

\frac{706.86}{360}=\frac{x}{108}\\ \\x=706.86*108/360\\ \\x=212.1\ cm^{2}

8 0
3 years ago
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