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taurus [48]
3 years ago
13

Please help asap !!!

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0

Answer:

(2, 18) and (-3, -7)

Step-by-step explanation:

y = 5x + 8                     Substitute the value for y into the second equation

-10x + 2y = 16

-10x + 2(5x + 8) = 16

-10x + 10x +16 = 16

       16 = 16  True  

These two equation are the same line. So pick one of the equation to check which ordered pairs are true solutions.

Using y = 5x + 8

(0, -6)         -5 = 5(0) + 8 ; -6 = 8  No

(-1, 9)           9 = 5(-1) + 8;   9 = -5 + 8 ;  9 = 3 No

(2, 18)          18 = 5(2) + 8;  18 = 10 + 8 = 18;  18 = 18    Yes

( -3, -7)         -7 = 5(-3) + 8;  -7 = -15 + 8;  -7 = -7    Yes

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15-12=3

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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin
aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the y = 4x  and  y = \frac{x^{2} }{4}.

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

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The inverse functions are given by:

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The volume of the solid of revolution is given by:

\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2}  dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\  dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}

6 0
4 years ago
Write a piecewise-defined function that represents the graph?
kodGreya [7K]

Answer:

f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5

Step-by-step explanation:

The equation of one line is y = x

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Altogether,

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4 0
3 years ago
Find the value of x in the triangle shown below
tino4ka555 [31]

Answer:

<em>x = 32</em>

Step-by-step explanation:

This is an isosceles triangle since two sides have length 10. The angles opposite the congruent sides are congruent. There is an angle measuring 116 deg, and two angles measuring x. The sum of the measures of the angles of a triangle is 180.

x + x + 116 = 180

2x + 116 = 180

2x = 64

x = 32

5 0
3 years ago
Read 2 more answers
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