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3 years ago

Find the slope of the line that passes through (2,3) and (-2,1) Show the necessary steps.

Mathematics

1 answer:

notsponge [240]3 years ago

7 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Use the Slope Formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the points (2,3) and (-2,1).

$m=\frac{1-3}{-2-2}=\frac{-2}{-4}=\frac{1}{2}$

The slope of the line is $\frac{1}{2}$ .

Brainilest Appreciated.

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AB ← → is tangent to circle O at point A. If m∠AOB = 55°, what is m∠ABO ?

AlladinOne [14]

A tangent forms a right angle with the centre of circle at the point it touches the circumference. i.e. OAB = 90 degrees
If AOB = 55 degrees, then ABO = 90 - 55 = 35 degrees

3 0

3 years ago

Read 2 more answers

Please help me solve this

Tpy6a [65]

Answer:

1st pic:

x = 49

top angle = 45

bottom angle = 108

far right angle = 27 degrees

2nd pic:

angle 1 = 88 degrees

angle 2 = 57 degrees

angle 3 = 35 degrees

angle 4 = 145 degrees

Step-by-step explanation:

1st pic:

you can find the far right angle by taking 153 and subtracting it from 180:

⇒ 180 - 153 = 27 degrees

you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180

combine like terms ⇒ 3x + 33 = 180

subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147

divide 3 on each side: ⇒ $\frac{3x}{3} = \frac{147}{3}$

x = 49

to find the top and bottom angles, substitute 49 for x:

top angle : x - 4

49 - 4 = 45 degrees

bottom angle: 2x + 10

2 x 49 + 10 = 108 degrees

2nd pic:

angle 1:

⇒ 180 - 92 = 88 degrees

angle 2:

⇒ 180 - 123 = 57 degrees

angle 3:

⇒ 180 - (88 + 57) = 35 degrees

angle 4:

⇒ 180 - 35 = 145 dgerees

4 0

3 years ago

Helpppppp! I’ll give 40

Lena [83]

Answer:

x = -2 y = -4

x = -1 y = -1

x = 0 y = 2

x = 1 y = 5

6 0

2 years ago

If <img src="https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B1%7D%7Bx-2%7D%20" id="TexFormula1" title="f(x)= \frac{1}{x-2} " alt

Darina [25.2K]

I think, the answer will be -7

We have:
f(x)=1/(x-2)
g(x)
Then:
(fg)(x)=[1/(x-2)](g(x))=g(x)/(x-2)
Now; we calculate: (fg)`(x)
Remember: (u/v)=(u`v-vu´)/v²
Therefore:

(fg)´(x)=[g´(x)*(x-2) - 1*g(x)]/ (x-2)²
We know that:
g´(1)=-1
(fg)´(1)=6
Therefore:
6=[-1*(1-2)-g(1)]/(1-2)²
6=[1-g(1)]/1
6=1-g(1)
-g(1)=6-1
g(1)=-5

Answer: B. -5

4 0

3 years ago

a cellular telephone tower casts a shadow that is 72 feet long. while a nearby tree that is 27 feet tall casts a shadow that is

timurjin [86]

Shadow length is proportional to object height.
(tower height)/(tower shadow length) = (tree height)/(tree shadow length)
(tower height)/(72 ft) = (27 ft)/(6 ft)
(tower height) = (72 ft)*(27/6)
(tower height) = 324 ft

The cellular telephone tower is 324 ft tall.

8 0

3 years ago