Answer:
Step-by-step explanation:
we know that
A 
right triangle has two equal legs
Let
x-----> the length side of the leg of the triangle
y------> the length side of the hypotenuse
so
in this problem we have
substitute the value of y and solve for x
Answer:
Using
Step-by-step explanation:
SOH CAH TOA
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tan = opposite/adjacent
Answer:
10 and 2
Step-by-step explanation
Nitesh is currently 10 and Ravi is currently 2
(2 times 5 is 10)
in 2 years Nitesh will be 12 and Ravi will be 4
(4 times 3 is 12)
Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
Answer:
a. false
b. true
c. true
d. true
e. false
Step-by-step explanation:
a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.
__
b. True. A graph of a proportional relationship is a straight line through the origin.
__
c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.
__
d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.
__
e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.
