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notsponge [240]
2 years ago
8

Points P, Q, and R are shown on the number line. What is the distance between point P and point Q? P(-76) Q(-24) R(0) A) 52 unit

s B) 63 units C) 70 units D) 100 units
Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
4 0

Answer:

A) 52 units

Step-by-step explanation:

The length of a line joining 2 points on a number line is given by the difference between the co-ordinates of the 2 points.

Therefore PQ= \left ( Q \right )-\left ( P \right )= \left ( -24 \right )-\left ( -76 \right )= 52

Hence the length of the line is 52 units

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If y varies directly with x and y=100 when x=5, what is the value of k?
horrorfan [7]
When it says varies directly, it means that y and x are going to be on opposite sides of the equals sign and that there is a constant, k,

y=kx

Plug in (5,100)

100=k(5)

K=20
7 0
2 years ago
AB is the angle bisector of CAD. Solve for the missing variable?
Alika [10]

Answer:

x=8^\circ

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is \angle CAD) exactly in half. Therefore, \angle CAB = \angle BAD and as such we can solve for x:

\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ

and we are done.

4 0
2 years ago
3/8 x 5 as a mixed number​
leva [86]

Answer:

1 7/8

Step-by-step explanation:

3/8 * 5/1 = 15/8

<-- First multiply 3/8 by 5

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

15/8 = 1 with a remainder of 7

<-- Then convert 15/8 to a mixed number by dividing 15 by 8

15/8 = 1 7/8

8 0
2 years ago
Homework help, no need to explain answer
Ainat [17]

Answer:

Square each side

Subtract 1  from each side

Divide by 3

Step-by-step explanation:

sqrt(3x+1) = 4

Square each side

(sqrt(3x+1))^2 = 4^2

3x+1 = 16

Subtract 1  from each side

3x+1-1 = 16-1

3x= 15

Divide by 3

3x/3 = 15/3

x = 5

8 0
3 years ago
Tank a has a capacity of 9.5 galloons 6 1/3 gallons of the tanks water are poured out how many gallons of water are left in the
Alisiya [41]
= 9 \frac{1}{2} - 6 \frac{1}{3} \\ = 9 \frac{3}{6} - 6 \frac{2}{6}
= 3 \frac{3 - 2}{6} \\ = 3 \frac{1}{6}

3 1/6 gallons of water are left in the tank.
3 0
3 years ago
Read 2 more answers
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