Answer:
The correct option is:
h = 1, k = 16
Step-by-step explanation:
y=4x^2-8x+20 =0
It is a quadratic formula in standard form:
ax^2+bx+c
where a = 4 , b = -8 and c=20
The vertex form is:
a(x − h)2 + k = 0
h is the axis of symmetry and (h,k) is the vertex.
Calculate h according to the following formula:
h = -b/2a
h= -(-8)/2(4)
h = 8/8
h = 1
Substitute k for y and insert the value of h for x in the standard form:
ax^2+bx+c
k = 4(1)^2+(-8)(1)+20
k = 4-8+20
k=-4+20
k = 16
Thus the correct option is h=1, k=16....
Answer: 50 miles per hour
Step-by-step explanation:
The average speed of the car will be gotten by using the formula:
= Distance/Time
where,
Distance = 65 miles
Time = 14:48 - 13:30 = 1:18 hours = 1 hour 18 minutes = 1 18/60 = 1.3 hours
Speed = Distance / Time
= 65 miles / 1.3 hours
= 50 miles per hour
To find area we multiple length by width
20 times 45 is 900
then multiply that by 2 because there are two floors that are that size
900 times 2 is 1800
the total area for both floors is 1800 square feet
To get this answer, you would want to start by dividing 96 by 6 to find matts score. (Answer 16) then just fill in the equation accordingly!
m * 6 = 96
The height of the kite above the ground is 90.63 feet.
<u>Step-by-step explanation:</u>
The angle of elevation of the kite is (θ) 65°.
The distance between the kite and its end is (hypotenuse)100 feet.
To find the height (x) of the kite flying above the ground.
we know that sin(θ) =
.
sin 65°=
sin 65° = 0.90631.
0.90631 ×100=x.
90.63=x.
∴The height of the kite above the ground is 90.63 feet.
