Answer:
Step-by-step explanation:
y = kx
400 = kr . . . . . . (1)
also, r = 4k . . . .(2)
400 = k(4k) = 4k^2
k^2 = 400/4 = 100
k = sqrt(100) = 10
Answer:
Step-by-step explanation:
let’s say each side length is called a, b, and c
to find out if a side length is a solution you have to know that
a < b + c
b < a + c
c < a + b
if all of these are true then the given lengths can be the sides of a triangle
ex:
a = 3, b = 4, c = 5
3 < 4+5
3 < 9
this is true
4 < 3+5
4 < 8
this is true
5 < 3+4
5 < 7
this is true
so these side lengths can make a triangle
however, if one of these inequalities weren’t true (ex: 9 < 4) you wouldn’t be able to make a triangle with the given side lengths
Answer:
(2x+3)(x+1)
Step-by-step explanation:
<u>Answer:</u>
The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5
<u>Solution:</u>
Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.
Answering 15 questions correctly will give you a grade of 75 what is the.
We have to find what is the Constant of variation.
Now, according to the given information, grade number of correct answer
Then, grade = c x number of correct answers, where c is constant of variation.
Now, substitute grade = 75 and number of correct answers = 15

Hence, the constant of variation is 5