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Anna11 [10]
3 years ago
6

Write an equation for the line perpendicular to y = –3x + 6 that contains (7, –4).

Mathematics
1 answer:
padilas [110]3 years ago
8 0

Hey!

So we are given that the two lines (the one you are trying to find and the other one whose equation you have been given) are perpendicular. This means that their slopes are the negative reciprocal of each other. Since the slope of the line you have been given is -3 the slope of the line that you need to find is 1/3. Using this and the point we have been given we can find the y-intercept.

-4 = (1/3)(7) + b

-4 = 7/3 + b

-19/3 = b

Since we know both the slope and the y-intercept we can write out equation:

y = (1/3)x - 19/3

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Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
4 years ago
I need to show my work, could anyone help? (need by tonight 3/10/20
marishachu [46]

Answer:

14 gallons....$42

Step-by-step explanation:

The car requires one gallon every 32 miles...

The car requires c gallons for 448 miles

c = 448 × 1 / 32

= 14 gallons..

One gallon = $3

Fourteen gallons = ??

14 × 3 / 1 = $42

3 0
3 years ago
The figure consists of a tangent and a secant to the circle. Find the value of x. Leave your answer in simplest radical form
yulyashka [42]
4x6= ? Nsbsbdhdbdhdjdjsjdhd
7 0
3 years ago
Shelia went snowboarding. She spent $118 for the pass and snowboard rental. The snowboard rental cost $25. What percent of the t
padilas [110]
I believe the answer is about 78.81% because you subtract 25 from 118. Then that would be 93. 118 is equal to the 100% and 118 divide by 1.18 equals 100. Divide 93 from 1.18 gives you the answer
5 0
4 years ago
Read 2 more answers
HELP ME PLEASE ASAP
sleet_krkn [62]

D :- 10 - 25 = -5

4 - 5 = -1

Required Answer:- -1

5 0
3 years ago
Read 2 more answers
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