Answer:
Vertex(-3,1)
Step-by-step explanation:
We have a graphical representation of our parabola.
Showing both the x axis and the y axis and showing the values of each point of the parabola on it.
As we can see we have some major points like point p = (-4,0)
And point q = (-1,-3)
What I want to point out is that every unit represent a two then half of it represents a one.
So the position of our vertex which is the maximum point on the graph
X axis = -3
Y axis =1
So the point our vertex is located
Vertex(-3,1)
You did not specify the brother's age, so I make a expression, <em>b</em> as the variable.
(3<em>b</em> + 5) - 11
Now do that with the brother age instead of the variable.
-7.5 times 1/3=-2.5
To take 1/3 of something, multiply the original by the fraction.
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.
the answer is 2 if you estimate to the tenths place
