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liq [111]
3 years ago
9

(08.03)A set of equations is given below:

Mathematics
2 answers:
Andreyy893 years ago
8 0
Hello : the system is :
<span>y = 6x + 9
</span><span>y = 6x + 2
6x+9=6x+2
9=2 false 
conclusion ; no solution</span>
alexandr1967 [171]3 years ago
7 0
These are parallel lines.
You can tell because the slope is the same but the y-intercept is different, meaning that the lines will never intercept.
When you have parallel lines, there are no solutions.
This is because solutions are where lines intercept.
No interception = No solution.

So the answer is B. No solution.

Hope this helps!
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Find the area bounded by the given curves: <br> y=2x−x2,y=2x−4
Andrej [43]

Answer:

A = [\frac{32}{3}]

Step-by-step explanation:

Given

y_1 = 2x - x^2

y_2 = 2x - 4

Required

Determine the area bounded by the curves

First, we need to determine their points of intersection

2x - x^2 = 2x - 4

Subtract 2x from both sides

-x^2 = -4

Multiply through by -1

x^2 = 4

Take square root of both sides

x = 2   or    x = -2

This Area is then calculated as thus

A = \int\limits^a_b {[y_1 - y_2]} \, dx

<em>Where a = 2 and b = -2</em>

Substitute values for y_1 and y_2

A = \int\limits^a_b {(2x - x^2) - (2x - 4)} \, dx

Open Brackets

A = \int\limits^a_b {2x - x^2 - 2x + 4} \, dx

Collect Like Terms

A = \int\limits^a_b {2x - 2x- x^2  + 4} \, dx

A = \int\limits^a_b {- x^2  + 4} \, dx

Integrate

A = [-\frac{x^{3}}{3} +4x](2,-2)

A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)]

A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8]

A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8]

A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}]

A = [\frac{16}{3}] - [\frac{-16}{3}]

A = [\frac{16}{3}] + [\frac{16}{3}]

A = [\frac{16 + 16}{3}]

A = [\frac{32}{3}]

Hence, the Area is:

A = [\frac{32}{3}]

7 0
4 years ago
A triangle has angles that measure 49° and 84°.
BaLLatris [955]
A plat angle measure 180° it means that A+B+C=180 Then if A=49° and B=84. ,A+B=133 Then if we make 180-133 we we would have 47
5 0
3 years ago
Given the lines a and b are parallel and that m 2= 68, find m 5.
skelet666 [1.2K]

    M<2 and M<6 are corresponding angles, that means they have the same degree. M<6 and M<5 are supplementary angles, that means they have together a sum of 180. So all you need to do is 180 - 68 = 112. D is the answer.

Hope this helps :)

6 0
4 years ago
Read 2 more answers
when the cartesian coordinate system is used to describe three dimensional space one needs three axes these axes are typically c
lisov135 [29]
The origin being O, the three axes are:
OX , OY and OZ
7 0
3 years ago
Giving brain list for correct
Alexxx [7]

Answer:

216 ft^2

Step-by-step explanation:

area of a triangle: (height * base)/2

in this problem,

height = 12, base = 36

area = 12*36/2 = 6*36 = 216

216 ft^2

6 0
3 years ago
Read 2 more answers
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