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tangare [24]
3 years ago
15

On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line

segment from Q to S in a 3:5 ratio. Which expression correctly uses the formula to find the location of point R?
Mathematics
2 answers:
Maksim231197 [3]3 years ago
8 0

Answer;

x1 + k (x2-x1) , -14 + 3/8 (2-(-14))

x1 = -14, k = 3/8 and x2 =2

Thus; -14 + 3/8 (2- (-14))

Thus; the expression that correctly uses the formula to find the location of point R is;

= x1 + k (x2-x1) , -14 + 3/8 (2-(-14))

solniwko [45]3 years ago
4 0
<span>the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio. </span>

 

So R = x1 + 3/5 ( x2 – x1)

R = -14 + 3/5 ( 2 – (-14))

<span>R = -4.4</span>

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Triangle NOP is similar to triangle QRS. Find the measure of the side QR. Figures are not drawn to scale. Please solveeeeee
vaieri [72.5K]
It looks like the measure would be 97 or 93 I think
6 0
3 years ago
Can the sides of a triangle have lengths of 10, 30, and 31? If so, what kind of triangle is it?
galina1969 [7]

Answer:

The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle.

Step-by-step explanation:

In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle.

A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.

6 0
4 years ago
John ,Rick , and Molli are painting a room together. It takes all of them 16 hours to paint the room to perfection. It takes Joh
CaHeK987 [17]
John's hourly rate is 1/8 of the room per hour.
Rick's hourly rate is 1/2 of the room per hour.
Molli's hourly rate would be 3/8 of the room per hour.

It takes Molli 2 2/3 hours to paint the room alone.

Explanation
Since John paints the entire room (100%=1) in 8 hours, he would paint 1/8 of the room in 1 hour.
Since Rick paints the entire room (100%=1) in 2 hours, he would paint 1/2 of it in 2 hour.

We do not yet know Molli's rate, so we will call it x.

We know that 1/8+1/2+x = 1 hour.

We will use 8 as a common denominator:
1/8+4/8+8x/8 = 1

Adding the numerators, 
(1+4+8x)/8 = 1

Multiply both sides by 8:
1+4+8x = 8

Add like terms:
5+8x = 8

Subtract 5 from both sides:
5+8x-5=8-5
8x=3

Divide both sides by 8:
8x/8 = 3/8
x = 3/8

Molli's rate is 3/8.

Since she can paint 3/8 of the room in 1 hour, we can set up the equation
3/8x = 1

Divide both sides by 3/8:
3/8x ÷ 3/8 = 1 ÷ 3/8
x = 1/1 ÷ 3/8 = 1/1 × 8/3 = 8/3
x = 2 2/3

This is the amount of time it takes Molli to paint the entire room.
5 0
3 years ago
How to find 4 times (-5)
vfiekz [6]

Answer: -20

Step-by-step explanation: Using the same expression except positive numbers, 4 x 5 = 20.

In this case, we can use this equation to find the product for the expression

4 x -5.

If 4 x 5 = 20, then 4 times -5 will also equal 20. However, since there is a negative factor in this expression, our answer will be negative causing our answer to be <u>-20.</u>

6 0
4 years ago
Read 2 more answers
Help please!!! Show how you go the answer too
borishaifa [10]

Answer:

Step-by-step explanation:

If QPS is a right angle we know a right angle equals 90 degrees. so you can find your answer by doing 90-35.

Therefore getting 56.

Hope this helps :)

6 0
3 years ago
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