Answer:
The answer to your question is Ф = 45°
Step-by-step explanation:
Data
A (1, 4)
B (-1, 2)
Process
1.- Find the slope of the line
formula
m = 
Substitution
m = 
Slope definition, is the steepness of a line and also is the tangent of the angle of the line.
tangent Ф = slope
tangent Ф = 1
Ф = tangent⁻¹ 1
Ф = 45°
Answer:
x = 7
Step-by-step explanation:
See the attached figure.
As shown: A C D F is a trapezoid and BE is a mid-segment.
The mid-segment of the trapezoid is the average of its bases.
BE = 0.5 ( A F + C D)
Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12
So,
2x + 10 = 0.5 ( 18 + 6x - 12)
Solve for x
2x + 10 = 0.5 (6 + 6x)
2x + 10 = 3 + 3x
10 - 3 = 3x - 2x
∴ x = 7
<u>So, the value of x is 7</u>
<span>It is required to find the highest altitude (in meters) .
</span>
For the given <span>quadratic function ⇒⇒ A(t) = −(t − 11)² + 115</span>
From the attached figure which represents the graph of the given function
the maximum will be at point (11,115)
So, <span>
the highest altitude (in meters) = 115 meter</span>
<span>
and it will reach it at t = 11 </span><span>
seconds</span>
Answer:
A:
Multiple: 3 * 5 = 15
Add: 7 + the result of step No. 1 = 7 + 15 = 22
Divide: 4 / 2 = 2
Subtract: the result of step No. 2 - the result of step No. 3 = 22 - 2 = 20
Add: the result of step No. 4 + 3 = 20 + 3 = 23
B:
Add: 7 + 3 = 10
Multiple: the result of step No. 1 * 5 = 10 * 5 = 50
Divide: 4 / 2 = 2
Subtract: the result of step No. 2 - the result of step No. 3 = 50 - 2 = 48
Add: the result of step No. 4 + 3 = 48 + 3 = 51
