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3 years ago

Could someone please help me with these systems. I have to use substitution.

1 answer:

8 0

Isolate one term (x or y) in one of the equations

6x+6y=0
6x=-6y
X= -1y

Substitute x=-y into the other equation

-7(-y) + 2y =18

7y + 2y =18

9y=18

Y=2

Substitute y=2 into 6x+6y=0

6x + 6(2) = 0

6x + 12=0

6x= -12

X = -2

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What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

7 0

2 years ago

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In triangle UVW , the measure of angle W=90^ , the measure of angle U=31^ °, and UV = 31 feet. Find the length of VW to the near

Basile [38]

Answer:

Step-by-step explanation:

VW, also know as side X (as shown in image) can be found using the sine. Sin(theta)=opposite/hypotenuse. In this case, theta is 31 degrees and the hypotenuse is 31 feet. Plugging in all known values, we would have sin(31)=x/31. Rearrange the equation and isolate X on one side. Then use a calculator to find the answer. Good luck!

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3 years ago

What is the answer for this

ella [17]

Answer:

Grids b and c have 25% shaded

Step-by-step explanation:

a) shaded = 5/16 = 31.25%

b) shaded = 4/16 = 25%

c) shaded = 5/20 = 25%

d) shaded = 3/10 = 30%

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2 years ago

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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides

cupoosta [38]

Answer:

8 cm and 9 cm

Step-by-step explanation:

In order to find out, you add both 8 and 9 together. If the sum is above/higher than the number 13, they can all be made into a triangle. 8+9 is 17 and 17 is higher than 13.

hope this helps!

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2 years ago

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What is the area of rectangle ABCD?

lina2011 [118]

Multiply the length by the width and your answer will be there.

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