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GREYUIT [131]
2 years ago
7

System of equations

Mathematics
1 answer:
nalin [4]2 years ago
4 0

Answer:

The solution of the system of equations is the point (-3,0)

Step-by-step explanation:

we have

-3x+y=9 -----> equation A

2x-y=-6 -----> equation B

Adds equation A and equation B

-3x+y=9\\2x-y=-6\\------\\-3x+2x=9-6\\-x=3\\x=-3

Find the value of y

-3(-3)+y=9

9+y=9

y=9-9=0

The solution of the system of equations is the point (-3,0)

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Simplify the following surd expressions.
Brilliant_brown [7]

Answer:

A=3√5

B=11√7

Step-by-step explanation:

5√5-2√5

5-2√5

3√5

B) 8√7+3√7

8+3√7

11√7

4 0
3 years ago
Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).
tester [92]
(4x - 3)(3x^2 - 4x - 3) 

=4x\cdot \:3x^2+4x\left(-4x\right)+4x\left(-3\right)-3\cdot \:3x^2-3\left(-4x\right)-3\left(-3\right) 

=4x\cdot \:3x^2-4x\cdot \:4x-4x\cdot \:3-3\cdot \:3x^2+3\cdot \:4x+3\cdot \:3 

\mathrm{Simplify}\:4x\cdot \:3x^2-4x\cdot \:4x-4x\cdot \:3-3\cdot \:3x^2+3\cdot \:4x+3\cdot \:3:\quad 12x^3-25x^2+9 

=12x^3-25x^2+9
8 0
3 years ago
You need to split it in half then multply then add
Harrizon [31]

Answer:

130^2 or 130 meters squared

Step-by-step explanation:

I decomposed the figure, then found the area of the decomposed figures then found the sum of them.

FIGURE A:

3 x 3 = 9

= 9^2

FIGURE B:

11 x 11 = 121

= 121 meters^2

So 121 + 9 = 130

= 130 meters^2

REMEMBER!!!!

THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA

8 0
3 years ago
Find the area of a compound shape<br><br> Can you please explain
gtnhenbr [62]

Answer:

A=292.53~m^2

Step-by-step explanation:

<u>Area of a Compound Shape</u>

The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.

The area of a circle of radius r is:

A_c = \pi r^2

The area of a triangle of base b and height h is:

\displaystyle A_t=\frac{b.h}{2}

Calculate the area of the circle:

A_c = \pi 8^2

A_c = 64\pi

Area of half the circle:

A_c/2 = 32\pi~m^2

Area of the triangle:

\displaystyle A_t=\frac{24\cdot 16}{2}

A_t=192~m^2

The area of the shaded shape is:

A=32\pi~m^2+192~m^2

Substituting the value of pi:

\mathbf{A=292.53~m^2}

4 0
3 years ago
You paint of a wall in hour. At that rate, how long will it take you to paint one wall?
zysi [14]

Answer:

an hour....

Step-by-step explanation:

6 0
3 years ago
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