Answer:
That's my slovings for your question
Answer:
The answer is x = -32
Step-by-step explanation:
In order to find the value of x, e must first distribute the 6 into the parenthesis.
6(x - 7) = 8x + 22
6x - 42 = 8x + 22
Now we will add/subtract values so that all x values are on the right and all number values are on the left.
6x - 42 = 8x + 22
-42 = 2x + 22
-64 = 2x
Now to get the final answer, divide both sides by 2.
-32 = x
The ball will hit the ground at 2 seconds.
Step-by-step explanation:
Given that,
The path of the ball = h(x)=−2x2+1x+6
Here,
x is the time while h is the height of ball.
When the ball will hit the ground, the height will become zero. Therefore,
h(x)=−2x2+1x+6
0 =−2x2+1x+6
or
2x2 -1x - 6 = 0
This is a quadratic equation, hence by applying quadratic equation formula:

here,
a = 2
b = -1
c = -6
Putting these values in formula, we get




x = 2, -3/2
As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.
Answer:
∠ 1 = 99°, ∠ 2 = 81°, ∠ 4 = 81°
Step-by-step explanation:
∠ 1 and ∠ 3 are vertical angles and are congruent, then
∠ 1 = 99°
∠ 1 and ∠ 2 are adjacent angles and sum to 180° , so
∠ 2 = 180° - 99° = 81°
∠ 2 and ∠ 4 are vertical angles and are congruent, so
∠ 4 = 81°