Answer:
150
Step-by-step explanation:
Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that
y=ksqrt((x+2)^2)
We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.
250=ksqrt((8+2)^2)
250=ksqrt((10)^2)
250=k10
250/10=k
25=k
So for any pair (x,y) we have the relation y=25((x+2)^2).
We are asked to find y when x=4.
y=25((4+2))^2
y=25(6)
y=150
Test to see if y is proportional to sqrt((x+2)^2)
For the given points: 250/150=10/6
The equation is true so we're great.
Answer:
HJ>KJ>HK
Step-by-step explanation:
Side opposite to the largest angle is the largest.
Side opposite to smallest angle is the smallest.
ang K = 118° ang J = 28°
ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)
118°+28°+angH=180° (Putting the values of ang K & ang J)
146°+angH=180°
ang H=180°-146°
ang H=34°
128°>34°>28°
ang K>ang H>ang J
Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.
Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.
Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.
HJ>KJ>HK.
Answer:
16
Step-by-step explanation:
I think you're referring to the nearest whole number, which should be 16 because that's after the decimal point
Answer:
(x-10)^2 + (y-2)^2 = 49
Step-by-step explanation:
I'm assuming that 10-2 means (10,2)
Equation of circle:
(x-a)^2 + (y-b)^2 = r^2
Plugging in the values that we know:
(x-10)^2 + (y-2)^2 = 7^2
(x-10)^2 + (y-2)^2 = 49
Hope this helps!
Answer:
3/7
Step-by-step explanation:
Parallel lines have the same slope so if one line has a slope of 3/7, the other line, which is parallel, has a slope of 3/7
