A and B are supplementary angles. The measure of A is (4x)˚ and the measure of B is 86˚.
1 answer:
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Answer:
Step-by-step explanation:
The word "quotient" means to divide, so the "quotient of 3 and 8" looks like this:
If we add that quotient to 10, we have
Answer:
Volume of the Tetrahedron T =
Step-by-step explanation:
As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0
We have,
z = 0 and x + 2y + z = 2
⇒ z = 2 - x - 2y
∴ The limits of z are :
0 ≤ z ≤ 2 - x - 2y
Now, in the xy- plane , the equations becomes
x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)
Firstly , we find the intersection between the lines x = 2y and x + 2y = 2
∴ we get
2y + 2y = 2
⇒4y = 2
⇒y = = 0.5
⇒x = 2() = 1
So, the intersection point is ( 1, 0.5)
As we have x = 0 and x = 1
∴ The limits of x are :
0 ≤ x ≤ 1
Also,
x = 2y
⇒y =
and x + 2y = 2
⇒2y = 2 - x
⇒y = 1 -
∴ The limits of y are :
≤ y ≤ 1 -
So, we get
Volume =
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=
=
=
=
=
= 1 - 1² + - 0 + 0 - 0
= 1 - 1 + =
So, we get
Volume =
The graph is a straight line graph with a slope of -1/2
Equation of a line in point-slope form
The equation of a line in point slope form is expressed as:
y - y₁ = m(x - x₁)
Given the following parameters
Point = (-2, 3)
Slope = -1/2
Substitute the given parameters into the formula
y-3 = -1/2(x-(-2))
y-3 = -1/2(x+2)
Write in slope-intercept form
2(y-3) = -(x+2)
2y-2(3) = -x -2
2y - 6 = -x -2
2y = -x + 4
y = -1/2x + 2
The graph of the equation is as shown below
Learn more on equation of a line here: brainly.com/question/18831322
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