The 2 fractions are the possibilities
The sum of two numbers is zero.
x + y = 0
y = -x
<span>Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.
Twice the smaller number: 2y
3 times the larger number: 3x
</span>Twice the smaller number subtracted from 3 times the larger number is 10.
3x - 2y = 10
-2y = -3x + 10
y = 3/2 x - 5
The equations are:
y = -x
y = 3/2 x - 5
The answer is the first choice.
Answer: The answer is 4.5
Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet
Value of x is 10
Step-by-step explanation:
- Step 1: Here, x is the hypotenuse of the right angled triangle. Use the trigonometric ratio cosine to find x.
cos 28° = adjacent side/hypotenuse = 11/x
⇒ x = 11/cos 28° = 11/-0.96 = -11.46 ≈ 10 (rounding off to nearest tenth)
