Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope
insert given points
((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12 -12
-6 = b
so the equation of the line is
y = -3x -6
Answer:
#3:8n-4
Step-by-step explanation:
combine like terms
3n+n=4n
-7+5=-2
4n-2
multiply that by 2 to get the perimeter, which is 8n-4
<u>The present age of the man is 36 years and his son is 11 years.</u>
Answer:
Solution given:
let the age of man be x.
and his son be y.
By question
x-6=6(y-6)
x=6y-36+6
x=6y-30. ......(1)
and
3(x+4)=8(y+4)
3x+12=8y+32
3x=8y+32-12
3x=8y+20. ...(2)
substituting value of x in equation 2 ,we get
3(6y-30)=8y+20
18y-90=8y+20
18y-8y=90+20
10y=110
y=110/10
y=11 years
again substituting value of y in equation 1 we get
x=6*11-30
x=66-30
x=36 years
Using it's concept, it is found that the probability of a person being over 20 years old and preferring strawberry ice cream is of 12%.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes.</u>
In this problem, there are 8 + 10 + 6 + 8 + 6 + 12 = 50 people, and of those, 6 are over 20 years old and prefer strawberry ice cream, hence the probability is given by:
p = 6/50 = 0.12 = 12%.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
a rightangle triangle
Step-by-step explanation:
because 72+18=90 degrees
when a side is 90 degrees in a triangle, it is right-angled.
hope this helps you!!
