MATHEMATICS COLLEGE

Find an equation of the line described. Write the equation in​ slope-intercept form when possible. Slope 1​, through (-4,3)

Answers

Answer 1
Answer: The equation of the line:

y=mx+b


The point-slope form of the equation of the line:

y-y_1=m(x-x_1)

We have:

m=1\ and\ A(-4;\ 3)\to x_1=-4\ and\ y_1=3

Substitute:

y-3=1(x-(-4))\n\ny-3=x+4\ \ \ |+3\n\n\boxed{y=x+7}

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⚠️Help pls! I don’t know if I’m stupid but I don’t get it!⚠️

Answers

The answer is (6).
Congruent triangles have the same angles and sides. If you look at the 2nd triangle in answer (6) a certain way, then you can see that the two are congruent.
Let me know if this helped or not. :)

What is the radius and diameter of the following circle 7cm

Answers

Answer:

7

3.5

Step-by-step explanation:

Find two numbers whose sum is 30, and whose difference is 26

Answers

x + y = 30
x - y = 26
--------------add
2x = 56
x = 56/2
x = 28

x + y = 30
28 + y = 30
y = 30 - 28
y = 2

ur 2 numbers are : 28 and 2

What is 4/5 + 2/5 =?

Answers

6/5 or you could put it as 1 1/5

Two guy wires from the top of a 200-foot radio antenna are anchored to the ground by two large concrete posts. The antenna is perpendicular to the ground and between the two posts. If the angles of depression from the top of the antenna to each of the posts is 46o and 48o respectively, then the distance between the two posts is:_______

Answers

Answer: 373.22 feet

Step-by-step explanation:

The attached photo contains the diagram illustrating the scenario. 2 right angle triangles ACD and BCD are formed.

The distance between the two posts is AD + BD

To determine AD, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Tan 46 = 200/AD

AD = 200/Tan 46 = 200/1.0355

AD = 193.14

To determine BD, we would also apply the tangent trigonometric ratio. Therefore

Tan 48 = 200/BD

BD = 200/Tan 48 = 200/1.1106

BD = 180.08

Therefore, the distance between the two posts is

193.14 + 180.08 = 373.22 feet

What is the premieter of this red polygon

Answers

Answer:

  338 in

Step-by-step explanation:

If each of the measures shown is the measure from the vertex to the point of tangency, then that measure contributes twice to the perimeter (once for each leg from the vertex to a point of tangency).

  2(22 in + 27 in + 22 in + 98 in) = 2(169 in) = 338 in
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