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djyliett [7]
2 years ago
11

Consider RS endpoints R(-2,1) and S(4,4) Find point Q that is 2/3 away NEED THIS ASAP PLEASE ANSWER

Mathematics
1 answer:
salantis [7]2 years ago
7 0

<u>The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.</u>

Answer:

<em>The point Q is (2,3)</em>

Step-by-step explanation:

Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).

The required point Q must satisfy the relation:

d(RQ) = 2/3 d(RS)

Where d is the distance between two points.

The horizontal and vertical axes also satisfy the same relation:

x(RQ) = 2/3 x(RS)

x_R-x_Q=2/3(x_R-x_S)

And, similarly:

y_R-y_Q=2/3(y_R-y_S)

Working on the first condition:

-2-x=2/3(-2-4)=2/3(-6)

Removing the parentheses:

-2-x=-4

Adding 2:

-x = -2

x = 2

Similarly, working with the vertical component:

1-y=2/3(1-4)=2/3(-3)

Removing the parentheses:

1-y=-2

Subtracting 1:

-y = -3

y = 3

The point Q is (2,3)

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Solve 2(9-x) = 3 ( x +16 )
andreyandreev [35.5K]

Answer: x=-6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(9−x)=3(x+16)

Step 1: Simplify both sides of the equation by distribution

2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48\\

Step 2: Subtract 3x from both sides.

-2x+18-3x=3x+48-3x\\-5x+18=48

Step 3: Subtract 18 from both sides.

-5x+18-18=48-18\\-5x=30

Step 4: Divide both sides by -5.

\frac{-5x}{-5} =\frac{30}{-5} \\x=-6

3 0
2 years ago
Alice wants to put wall-to-wall carpeting in a small room with the floor plan shown.
AURORKA [14]
I found the complete problem. 

If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h 
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5 
A = 11.25 * 5 
A = 56.25 sq. ft

Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5 
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Total area = 56.25 + 56.25 = 112.50 sq. ft.

3 0
3 years ago
At a grocery store the manager randomly selects 20 cartons of eggs, he finds 3 cartons with at least 1 broken egg. If the refrig
ivann1987 [24]

Answer:

You would expect 75 cartons with at least 1 broken egg.

There are likely to be 222 DVD players that are defective.

Step-by-step explanation:

Both examples given in this question represent a ratio of broken or defective to a sample number of cartons or DVD players.  In order to find how many would be broken or defective overall, you can set up equivalent ratios, or proportions.

Egg Cartons: \frac{broken}{#cartons}=\frac{3}{20}=\frac{x}{500}

'x' represents the number of cartons out of 500 that would be expected to have at least 1 broken egg.  To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 500 and then multiply the same factor by the numerator to find 'x'.  In this case 500/20 = 25, so the factor is 25.  3 x 25 = 75, so you have 75 expected cartons with a broken egg.

DVD Players:  \frac{defective}{#players}=\frac{3}{50}=\frac{x}{3700}

'x' represents the number of DVD players out of 3700 that would be expected to be defective.  To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 3700 and then multiply the same factor by the numerator to find 'x'.  In this case 3700/50 = 74, so the factor is 74.  3 x 74 = 222, so you have 22 likely defective DVD players.

4 0
3 years ago
Which graph represents the solution set of the system of inequalities?<br> y &lt; 2/3x<br> Y&gt;-x+2
Marysya12 [62]

Answer:

I attached it.

Step-by-step explanation:

This is the graph.

5 0
3 years ago
What is the value of the expression [-7] + [-4]
atroni [7]

Answer:

11

Step-by-step explanation:

I'm assuming that [.] fldenote absolute value even tho the absolute value function is represented by (|.|)

value of [-7] will be positive that us 7.

= 7 + 4

= 11

3 0
3 years ago
Read 2 more answers
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