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adelina 88 [10]
3 years ago
8

Consider the numbers 0, 10, 20, 30, and 40. Multiply each by 4 and compare the result to 60 to determine into which of the follo

wing intervals the answer to the question "What number can you multiply by 4 and then add 8 to the product to get 60?"Select the interval into which the answer should fall.
a. 0 to 10
b. 10 to 20
c. 20 to 30
d. 30 to 40
Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:b

Step-by-step explanation:

While this problem seems confusing, the answer is rather simple.

All you have to do is the reverse of what they are asking.

This is, substract 8 to 60 and then divide by 4:

60-8 = 52\\\frac{52}{4} = 13

So the interval which 13 falls into is 10 to 20 and the answer is b.

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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i
Tasya [4]

Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

2=\frac{1+x_{2} }{2}\\  4=1+x_{2}\\  4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0

So (12,0) it is the other endpoint.

Take a look at the graph below:

8 0
3 years ago
Consider the equation
earnstyle [38]

a) true

b) false

c) true

Step-by-step explanation:

<h3>let's determine the first statement</h3><h3>to determine x-intercept </h3><h3>substitute y=0</h3>

so,

8x-2y=24

8x-2.0=24

8x=24

x=3

therefore

the first statement is <u>true</u>

let's determine the second statement

<h3>to determine y-intercept </h3><h3>substitute x=0</h3>

so,

8x-2y=24

8.0-2y=24

-2y=24

y=-12

therefore

the second statement is <u>False</u>

to determine the third statements

<h3>we need to turn the given equation into this form</h3><h2>y=mx+b</h2><h3>let's solve:</h3>

8x-2y=24

-2y=-8x+24

y=4x-12

therefore,

the third statement is also <u>true</u>

4 0
2 years ago
twice a number plus three times another number equals 4. three times the first number plus four times the other number is 7. wha
Drupady [299]

Answer:

x=5, y=-2. (5, -2).

Step-by-step explanation:

2x+3y=4

3x+4y=7

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

3(2x+3y)=3(4)

-2(3x+4y)=-2(7)

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

6x+9y=12

-6x-8y=-14

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y=-2

2x+3(-2)=4

2x-6=4

2x=4+6

2x=10

x=10/2

x=5

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3 years ago
A basketball player shoots when she is 16 ft from the backboard. Given the ball has an initial velocity v0 at an angle of 30° wi
astra-53 [7]
The answer is 29.574 ft.
7 0
2 years ago
Simplify the following expression -5[(x^3+1)(x+4)]
katrin [286]

Answer:

B

Step-by-step explanation:

-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]

      = -5 [ x³*x + x³*4 + 1*x + 1*4 ]

      = -5 [ x⁴ + 4x³ + x + 4]

      = -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4

      = -5x⁴ - 20x³ - 5x - 20

4 0
3 years ago
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