<h3>
Answer:</h3>
(-4, 15), (1.5, 4)
<h3>
Step-by-step explanation:</h3>
This is easily solved using a graphing calculator. (See attached.)
_____
Algebraically, the solution is found by equating the expressions for y:
... -2x +7 = y = 2x² +3x -5
... 2x² +5x -12 = 0 . . . . rearranged to standard form
... (2x -3)(x +4) = 0 . . . . factor
The x-values of the points of intersection are those that make these factors be zero:
... 2x-3 = 0 ⇒ x = 3/2
... x+4 = 0 ⇒ x = -4
The linear equation is the easiest to use to find the corresponding y-values.
... for x = 3/2, y = -2(3/2) +7 = 4
... for x = -4, y = -2(-4) +7 = 15
The points of intersection are (-4, 15) and (3/2, 4).
The angle of depression from the top of the building is missing, therefore, we will consider it to be 60°, for your understanding.
Now,
According to the right triangle rule, we are given the angle, the adjacent side, and we have to find the opposite side.
Therefore,
Using SOH CAH TOA laws,
<span><span>SOH means,
Sine Ф = Opposite / Hypotenuse
</span><span>
CAH means,
Cosine Ф = Adjacent / Hypotenuse
</span><span>
TOA means,
Tangent Ф = Opposite / Adjacent
Where,
Ф is the angle of depression.
Hence,
Using Tangent Ф = Opposite / Adjacent</span></span>
Tangent 60° = Opposite / 60
1.73 = Opposite / 60
1.73 × 60 = Opposite
Opposite = 103.8 feet away from the <span>base of the building</span>
Answer:D
Step-by-step explanation:
Translation right 3 units
Answer: E. none of the above
Step-by-step explanation:
The given data values that represents the population:
2, 6, 3, and 1.
Number of values : n=4
Mean of the data values =
Sum of the squares of the difference between each values and the mean =
Now , Variance = (Sum of the squares of the difference between each values and the mean ) ÷ (n)
= (14) ÷ (4)= 3.5
Hence, the variance is 3.5.
Therefore , the correct answer is "E. none of the above".
Answer:
I really do not know soooooo yeah bye
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