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Colt1911 [192]
3 years ago
15

the slope of a line is –2 and its y-intercept is (0, 3). what is the equation of the line that is parallel to the first line and

passes through (2, 2)? a. y=4/3x - 3/2 b. 6x-4y=-8 c. y=3/4x 1 d. 4x – 2y = –12
Mathematics
1 answer:
Allisa [31]3 years ago
4 0
Parallel lines has equal slope.
Required equation is (y - 2)/(x - 2) = -2 => y - 2 = -2(x - 2) => y - 2 = -2x + 4 => 2x + y = 6
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6. Emily rides her bike with a constant speed of
qaws [65]

Answer:

42 miles

Step-by-step explanation:

If it's a constant 12 miles per hour then it would be

12 mph x 3 hours = 36

then you would add that with the 1/2 hour for

12 mph x 1/2 hours = 6

36 + 6 = 42 miles traveled

8 0
1 year ago
Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in s
vagabundo [1.1K]

Answer:

y = -0.2x - 5.8

Step-by-step explanation:

If a line is given in the form y = mx + b, the "m" is the slope.

For the line given y = 5x, the slope is 5

The line that is perpendicular to this will have slope that is "negative reciprocal of that".

So, the perpendicular line will have slope of  -\frac{1}{5}

So, the Perpendicular Line will have equation:

y = -1/5x + b

Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

y=-\frac{1}{5}x+b\\-7=-\frac{1}{5}(6)+b\\-7=-\frac{6}{5}+b\\b=-7+\frac{6}{5}\\b=-5.8

So the equation of perpendicular line = y = -0.2x - 5.8

4 0
3 years ago
9(u-2) + 1.5u=8.25
Colt1911 [192]

Answer:

u= 2.5

Step-by-step explanation:

Using BIDMAS

Step 1: Expand the bracket

9(u-2) + 1.5u=8.25

9u-18+1.5u=8.25

Step 2: collect like terms

9u+1.5u=8.25+18

10.5u=26.25

Step 3: Divide both sides by 10.5 to get u

u= \frac{26.25}{10.5}= 2.5

6 0
3 years ago
Read 2 more answers
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than
NISA [10]

Answer:

a i the answer

Step-by-step explanation:

l ≤ 12

2l + 2w < 30

6 0
3 years ago
Read 2 more answers
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