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laiz [17]
2 years ago
12

What is the solution to the system of equations graphed below?

Mathematics
2 answers:
MaRussiya [10]2 years ago
8 0

Answer:

The correct option is D.

Step-by-step explanation:

The given system of equations is

y=-2x-3                        .... (1)

y=3x+2                       .... (2)

The intersection point of both equation is the solution to the system of equations.

Substitute the value of y in equation (2) from equation (1).

-2x-3=3x+2

Isolate the like terms.

-2x-3x=3+2

-5x=5

Divide both sides by -5.

x=-1

The value of x is -1. Put this value in equation (1) to find the value of y.

y=-2(-1)-3=2-3=-1

The value of y is -1.

The solution to the system of equations is (-1,-1). Therefore the correct option is D.

RideAnS [48]2 years ago
7 0
D....................
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Liam says - G) is equivalent to Explain if Liam is correct by completing the
vredina [299]

Answer:

The fraction 5/-12 will be shown as a positive number divided by a negative number, which always results in a negative amount. The fractions have different value, so Liam is not correct.  [I'm assuming thats your fraction because its the same I had a few days ago]

8 0
1 year ago
Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold t
Nikolay [14]

Answer:

<h3>Negative (negative 20) = 20</h3>

Step-by-step explanation:

Given Shana temperature = -20°C

°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C

Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's

Opposite of shana = -(-20°C)

Pearls temperature = +20°C

Since Opposite of shana = Pearls temperature, hence  -(-20°C) = 20°C

3 0
2 years ago
The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians. What is the area of the shaded sector? 32Pi u
Tems11 [23]

Answer:

<em>96π units²</em>

Step-by-step explanation:

Find the diagram attached

Area of a sector is expressed as;

Area of a sector = θ/2π * πr²

Given

θ = 3π/4

r = 16

Substitute into the formula

area of the sector = (3π/4)/2π * π(16)²

area of the sector = 3π/8π * 256π

area of the sector = 3/8 * 256π

area of the sector = 3 * 32π

<em>area of the sector =96π units²</em>

5 0
2 years ago
Read 2 more answers
Jo is on the phone with a gardener who asks about the square feet of Jo's backyard. Jo counts 20 steps long and 40 steps wide (w
Sever21 [200]

Hey there!

Each step is three feet. This can be represented by 3s= feet. We can plug that in to figure out our side lengths.

20(3)=60

40(3)=120

Now we can multiply these two together to get the area.

120(60)= 7,200

Therefore, his backyard is about 7,200 square feet.

I hope this helps!

4 0
2 years ago
Helen’s house is located on a rectangular lot that is 1 1/8 miles by 9/10 mile.Estimate the distance around the lot
RUDIKE [14]

Answer:

The distance around the lot is 4.05 miles .

Step-by-step explanation:

Formula

Perimeter\ of\ rectangle = 2 (Length + Breadth)

As given

Helen’s\ house\ is\ located\ on\ a\ rectangular\ lot\ that\ is\ 1 \frac{1}{8}\ miles\ by\ \frac{9}{10}\ mile.

i.e

Helen’s\ house\ is\ located\ on\ a\ rectangular\ lot\ that\ is\ \frac{9}{8}\ miles\ by\ \frac{9}{10}\ mile.

Here

Length = \frac{9}{8}\ miles

Breadth = \frac{9}{10}\ miles

Put in the formula

Perimeter\ of\ rectangle = 2(\frac{9}{8}+\frac{9}{10})

L.C.M of (8,10) = 40

Perimeter\ of\ rectangle = \frac{2\times (9\times 5+9\times 4)}{40}

Perimeter\ of\ rectangle = \frac{2\times (45+36)}{40}

Perimeter\ of\ rectangle = \frac{2\times 81}{40}

Perimeter\ of\ rectangle = \frac{81}{20}

Perimeter of rectangle = 4.05 miles

Therefore the  distance around the lot is 4.05 miles .


6 0
2 years ago
Read 3 more answers
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