The residual value is -1.14.
Plug 5 into x
y=-0.7(5)+2.36
=-1.14
Answer:
Step-by-step explanation:
Rearrange the given x^2+3=9x in standard quadratic form:
1x^2 - 9x +3 = 0
Then the three coefficients are a = 1, b = -9 and c = 3.
The discriminant is √(b^2 - 4ac), or √(81 - [1][3]), or √78.
± √78
Thus, the roots are x = ----------------
2
Answer:
x = 50
Step-by-step explanation:
When two secants intersect in the interior of a circle, the angles formed are the average of the arc an angle and its vertical intercept. In this case, our angle, 73, should be the average of x and 96. We can translate this to an equation and solve:
x + 96 = 146
x = 50
Answer:
32√5
Step-by-step explanation:
We have the right triangles PQA and PQB as well as the given right triangle QAB.
cot(PAQ) = 2/5 = QA/PQ
cot(PBQ) = 3/5 = QB/PQ
cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3
cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB
QA / QB = 2/3
QA = (2/3) QB
QB = (3/2) QA
By the Pythagorean Theorem we have:
(QA)² + 32² = (QB)²
(QA)² + 32² = (3/2 QA)²
(QA)² + 1024 = (9/4) (QA)²
(5/4) (QA)² = 1024
(QA)² = (4/5)1024 = 4096/5
QA = 64/√5
Solve for PQ.
cot(PAQ) = QA/PQ
PQ = QA / cot(PAQ)
PQ = (64/√5) / (2/5) = 32√5
The height of the tower is 32√5.
Answer:
The answer is B
Step-by-step explanation:
I just did the Quick Check, the attachment is the answer, np.
