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Natasha_Volkova [10]
3 years ago
7

Factor 20r+60t to identify the equivalent expression

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Answer:

\boxed{20(r + 3t)}

Step-by-step explanation:

20r + 60t

Factor out 20 from the expression.

20(r) + 20(3t)

Take 20 as common.

20(r + 3t)

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Point m is the midpoint of kL. M(1,-1) and L(8,-7. What are the coordinates of point k?
Phoenix [80]

Answer: (-6, 5)

<u>Step-by-step explanation:</u>

Use the Midpoint Formula: \dfrac{(x_k, y_k)+(x_L,y_L)}{2}=(x_m, y_m)

Separate the x's and y's and solve them individually:

\dfrac{x_k+x_L}{2}=x_m\qquad \qquad \qquad \qquad\dfrac{y_k+y_L}{2}=y_m\\\\\\\dfrac{x_k+8}{2}=1\qquad \qquad \qquad \qquad \qquad \dfrac{y_k-7}{2}=-1\\\\\\x_k+8=2\qquad \qquad \qquad \qquad \qquad y_k-7=-2\\\\\\x_k\quad =-6 \qquad \qquad \qquad \qquad \qquad y_k\qquad =5

            So, the k-coordinate is (-6, 5)

3 0
3 years ago
How can you use volume formulas to solve problems?
Katarina [22]
Well, it depends what shape you are using the volume formula for. If it's for a square (I'm assuming) then the volume formula would be:

Side^2

6 0
3 years ago
HELP ASAP FOR BRAINLIEST: The mean score for a standardized test is 1700 points. The results are normally distributed with a sta
WITCHER [35]

Answer:

Step-by-step explanation:

Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test reults

µ = mean score

σ = standard deviation

From the information given,

µ = 1700 points

σ = 75 points

We want to the probability that a student will score more than 1700 points. This is expressed as

P(x > 1700) = 1 - P(x ≤ 1700)

For x = 1700,

z = (1700 - 1700)/75 = 0/75 = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

P(x > 1700) = 1 - 0.5 = 0.5

8 0
3 years ago
What is f(–3) for f(x) = 2x2 – x + 5?<br> A) 11 <br> B) 17 <br> C) 20 <br> D) 26
nirvana33 [79]

Answer: D

<u>Step-by-step explanation:</u>

f(x) = 2x² - x + 5

f(-3) = 2(-3)² - (-3) + 5

      = 2(9) + 3 + 5

      = 18 + 3 + 5

      = 26

6 0
3 years ago
Please help and explain!
Scrat [10]
K is the slope of the line formed by connecting the points.
Use slope formula:
\frac{y_2 - y_1}{x_2 - x_1}
where the 2 points are the end points of the line (First and last going Left to right)
(x_1,y_1) = (2,7)  \\ (x_2,y_2) = (8,28)
Substitute into slope formula
k= \frac{28-7}{8-2} = \frac{21}{6} = \frac{7}{2}
You can check if this is correct by going back to graph and going "up 7" and "over 2" to get from one point to the next.
5 0
3 years ago
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