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mote1985 [20]
3 years ago
9

What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the poin

t (15, –5)?
The equation of the line in slope-intercept form is y = -5/3x+ ? ____

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line is the negative reciprocal of that:

... m = -1/(3/5) = -5/3

The point-slope form of the equation of a line can be written as

... y = m(x -h) +k . . . . .for slope m and point (h, k)

Using the values we are given for the perpendicular line, its equation is

... y = (-5/3)(x -15) -5

Simplifying gives

... y = (-5/3)x +20

The y-intercept of the perpendicular line is 20.

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Please help! Worth 36 points!
CaHeK987 [17]

Answer:

a. Same Side Interior Angles

b. Corresponding Angle

c. Alternate Exterior Angle

d. Alternate Interior Angles

e. 20

f. 70

Step-by-step explanation:

e. Corresponding angle add up to 90 degrees. Which you have to subtract 110 to 90 and is 20

f. same side interior angle adds up to 180 degrees. Which you have to subtract 180 to 110 and it is 70

6 0
3 years ago
Which of the following is not an undefined term?
olganol [36]
Which of what following? Is it suppose to be multiple choice?
4 0
3 years ago
Y + 1 1/6 = 7 5/6 what is Y​
AfilCa [17]

Answer:

6\frac{2}{3}

Step-by-step explanation:

y + 1\frac{1}{6} = 7\frac{5}{6}

y + \frac{7}{6} = \frac{47}{6}

y = 40/6 = 20/3 = 6\frac{2}{3}

3 0
3 years ago
1 Point
Murrr4er [49]

Answer:

C. p(x) = 5x - 12.

Step-by-step explanation:

p(x) = 8x - (3x + 12)     (Note you have to put the 3x+12 in parentheses).

p(x) = 8x - 3x - 12

p(x) = 5x - 12

4 0
3 years ago
List the 8 numbers between 4 and 40 in a sequence of 10 numbers a common difference
yuradex [85]

Answer:

8, 12, 16, 20, 24, 28, 32, 36

Step-by-step explanation:

the nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

a₁ is the first term and d the common difference

given a₁ = 4 and a₁₀= 40 , then

4 + 9d = 40 ( subtract 4 from both sides )

9d = 36 ( divide both sides by 9 )

d = 4

add d to each term to obtain the next term

4 + 4 = 8

8 + 4 = 12

12 + 4 = 16

16 + 4 = 20

20 + 4 = 24

24 + 4 = 28

28 + 4 = 32

32 + 4 = 36

the 8 terms between 4 and 40 are

8, 12, 16, 20, 24, 28, 32, 36

3 0
2 years ago
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