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katen-ka-za [31]
3 years ago
5

12. Simplify the expression 15-12(-17n-16)​

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

207 + 204n

Step-by-step explanation:

15 - 12(-17n-16) = 15 - (-204n-192)

                       = 15 + 204n + 192

                       = 207 + 204n

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6^2+17+12 help me plz.
Dmitry_Shevchenko [17]
6^2 + 17 + 12

First, let's start with 6^{2} . Basically, the '2' above the 6 indicates that the number appears twice in multiplying. 6^{2} can be described as 6 × 6 as well. 36 should be your answer for 6 squared.
6^{2} = 6 \times 6 = 36

Second, our problem should look like: 36 + 17 + 12. One can simply do this on a calculator or count on their fingers. Once you add all of the numbers up, you should get 65.

Answer: \fbox {65}
4 0
3 years ago
Read 2 more answers
The given line segment has a midpoint at (3, 1).
Katena32 [7]

Answer:

y=\frac{1}{3}x

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through (x_1,y_1)\ and\ (x_2,y_2) is:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}.

Therefore the line passing through (2, 4) and (4, -2) has an equation:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

m_1m_2=-1.

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}

Since it is the  perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is y=\frac{1}{3}x

7 0
3 years ago
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The sum of 3x2 + x – 7 and x² + 10 can be expressed as
Andrei [34K]
The sum of all that stuff is a number from here to there
6 0
3 years ago
Four times the sum of a number and ter is the same as one-hundred added to eight
AfilCa [17]

Answer:

GIVE BRAINLIEST PLZ

I DONT NEED THNX

x = -15

Step-by-step explanation:

1) Four times sum of a number and 10

4(x + 10)

2) is equal to 100 added to 8 times the number

4(x+10) = 8x + 100

x + 10 = 2x + 25

-15 = x

7 0
3 years ago
What is the domain of y=4sin(x)?
stealth61 [152]

Answer:

( − ∞ , ∞ )  { x | x ∈ R }

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

4 0
3 years ago
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