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Bingel [31]
3 years ago
14

A line with a slope of –2 passes through the point (–4, 8). What is the equation of the slope-intercept form?

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

y= -2x

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Given that the slope is -2, m= -2.

subst. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a coordinate.

When x= -4, y=8,

8= -2(-4) +c

8= 8 +c (expand)

c= 8-8 (-8 on both sides)

c=0 (simplify)

Thus, the equation of the line is y= -2x.

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Triangle ABC has an altitude AH that lies in the exterior of the triangle which of the following could be true about this figure
Sergio [31]

Answer:

In triangle ABC, angle B is obtuse.

Step-by-step explanation:

The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.

6 0
3 years ago
Compare fractions 3/4 and 11/12
RoseWind [281]

For now, assume 3/4 and 11/12 are equal. It is likely they are not equal, but we'll get to that later.

The equation we set up is 3/4 = 11/12

---------------------------------------------------------------

3/4 = 11/12

3*12 = 4*11 ... cross multiply

36 = 44

The last equation is false, so the entire string of equations are false.

This tells us that 3/4 is not equal to 11/12.

Since the left hand side of the last equation is smaller, this means we must replace the equal sign with a less than sign. Do so with the other equal signs as well. We have this updated set of steps

3/4 < 11/12

3*12 < 4*11 ... cross multiply

36 < 44

We see that 3/4 is smaller than 11/12

---------------------------------------------------------------

Another way to see that 3/4 is smaller is to use a calculator to find the decimal version of each fraction

3/4 = 0.75

11/12 = 0.9167 approximately

Since 0.75 is smaller than 0.9167, this means 3/4 is smaller than 11/12.

---------------------------------------------------------------

If you want to stick with fractions and you don't want to cross multiply, then we can rewrite 3/4 as a fraction that has 12 in the denominator.

Multiply top and bottom of 3/4 by the value 3

This will make 3/4 turn into 9/12

3*3 = 9

4*3 = 12

So 3/4 = 9/12 is a true equation

Instead of comparing "3/4 and 11/12", we are equivalently comparing "9/12 and 11/12".

The numerator 9 is smaller than the numerator 11, so 9/12 is smaller than 11/12

This points to 3/4 being smaller than 11/12.

5 0
3 years ago
This is hard I need help
Andreyy89

Answer:

  • 140.22 ft²

Step-by-step explanation:

Surface area is the sum of areas of 4 triangles.

<u>Each triangle has:</u>

  • b = 9 ft, h = 7.79 ft

<u>Area of each triangle:</u>

  • A = 1/2bh
  • A = 1/2*9*7.79 = 35.055 ft²

<u>Surface area:</u>

  • S = 4*35.055 = 140.22 ft²
4 0
3 years ago
The Huey family is purchasing a winter cover for their above ground pool which is rectangular and has dimensions of 18 ft x 9 ft
grigory [225]
162 think of a square like a pool both sides have to be the same
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Answer:

The simplified form of n to the -6th power times p to the 3rd power is p^3/n^6.

Step-by-step explanation:

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3 years ago
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