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jok3333 [9.3K]
3 years ago
6

Find the equation of a line with each of the following characteristics. a) parallel to the line y = 3x + 5 and has a y-intercept

of -1 b) perpendicular to the line y = 5x - 1 and passes through the point (10, 8) c) perpendicular to the line y = 1⁄3x + 4 and has an x-intercept of 2.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

y = 1/2x - 1

Step-by-step explanation:

When you put all three equations from the question into a graph and then input the equation i just gave you it will be perpendicular to line B & C, also it will be parallel to line A. Finally you can check yourself that it also has a y-intercept of (0,-1) & an x-intercept of (2,0). Hopefully this helps out & gets brainliest. xD

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Rounding 0.912 to the nearest hundredth
Stella [2.4K]
The answer is 0.100
5 0
3 years ago
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heather has divided $6300 between two invesments, one paying 9%, the other paying 4%. If the return on her investment is $372, h
Ganezh [65]
Assuming that the two investments are  X & Y
X + Y = 6300
X = 6300 - Y                                       (1)

9/100X + 4/100 Y = 372                       (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400

I hope this is helpful 



6 0
3 years ago
Please help cuz i ok with math but not this type of math so PLEASE HELP ME!
Korolek [52]

Answer:

y=1x-4

Step-by-step explanation:

The original is

y=mx+b

m is the slope   and b is the y intercept

8 0
3 years ago
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How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,73
arsen [322]
The sum of n terms of a geometric series is given by
S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}

Substituting the given numbers, you have
2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6

There are 6 terms in the series.
4 0
3 years ago
Find all constants a such that the vectors (a, 4) and (2, 5) are parallel.
Nezavi [6.7K]

Answer:

\displaystyle a = \frac{8}{5}.

Step-by-step explanation:

Two vectors (x_1,\, y_1) and (x_2,\, y_2) are parallel to one another if and only if the ratio between their corresponding components are equal:

\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}.

Equivalently:

\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}.

For the two vectors in this equation to be parallel to one another:

\displaystyle \frac{a}{4} = \frac{2}{5}.

Solve for a:

\displaystyle a = \frac{8}{5}.

\displaystyle \frac{8}{5} would be the only valid value of a; no other value would satisfy the \displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2} equation.

4 0
3 years ago
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