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Vitek1552 [10]
4 years ago
7

Solve the system by adding or subtracting: -3x-3y=9 3x+8y=6

Mathematics
1 answer:
GREYUIT [131]4 years ago
4 0

Answer:

x=-6,  y=3

Step-by-step explanation:

I will use elimination to eliminate the x variable.

Add the two equations.

-3x-3y=9

3x+8y=6

-------------------

   5y  = 15

Divide each side by 5

5y/5 = 15/5

y=3

Now we need to find x

3x+8y=6

Substitute y=3

3x+8*3 =6

3x+24=6

Subtract 24 from each side

3x+24-24 = 6-24

3x = -18

Divide each side by 3

3x/3 = -18/3

x=-6

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Answer:

Bottom Right: Following CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we can see that the corresponding parts are congruent (for example, UV ≅ XY, ∠W ≅ ∠T, etc.)

Bottom left: Again, CPCTC.

DE ≅ QP

∠E ≅ ∠Q

etc.

Not B), because, while BC ≅ GH, the angles are not all the same, which makes it non-congruent.

Not A), because while they both have right angles, the sides are not congruent (cannot be simplified to the same ratio).

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3 years ago
What are the slope and y-intercept of the linear function graphed to the left? slope: –2; y-intercept: 2 slope: ; y-intercept: 1
Anon25 [30]

Let

A(0,1)\\  B(2,0)

we know that

The y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point A is the y-intercept

y=1

<u>The answer part a) is</u>

The value of y-intercept is 1

<u>Part b)</u> Find the slope m

we know that

the value of the slope is equal to

m =\frac{(y2-y1)}{(x2-x1)}

Substitute the values

m =\frac{(0-1)}{(2-0)}

m =-\frac{1}{2}

therefore

<u>the answer Part b) is</u>

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<u>The general answer is</u>

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4 0
3 years ago
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Median

Step-by-step explanation:

This is because if you used the mean it would be higher than the median  because there is an outlier (78)

or

Because the data is skewed right, the mean would be affected

5 0
4 years ago
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Sunny_sXe [5.5K]

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Step-by-step explanation:

5 0
3 years ago
Courtney walks 1 mph slower than Brandi does. In the time that it takes Brandi to walk 6.5 mi, Courtney walks 5 mi. Find the spe
posledela

Answer:

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

Step-by-step explanation:

Let x = Courtney's walking speed

then

(x + 1) = Brandi's walking speed

:

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time

6.5/x + 1 = 5/x

Cross multiply

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Note that:

(x + 1) = Brandi's walking speed

3.33mph + 1 = 4.33mph

Therefore,

Courtney's walking speed = 3.33mph

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4 0
3 years ago
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