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Alik [6]
2 years ago
11

Please help T^T^T PLEASE

Mathematics
1 answer:
xenn [34]2 years ago
7 0

Answer:

area of the trapezoid

\frac{1}{2}  \times (10 + 16) \times 9 \\ 117 {in}^{2}

area of the triangle

\frac{1}{2}  \times 6 \times 8 \\ 24 {in}^{2}

total area of the figure

24+117

<h3><em><u>141in²</u></em></h3>
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Answer:

The vertex is (3,1)

Step-by-step explanation:

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Solving and graphing systems of equations
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Hey Jackson!

-4x + 3y = 3
y = 2x + 1

Ok so what we need to do is solving y= 2x + 1 for y.

So let's start by using the substitution method :)

Substitute 2x + 1 for y in -4x + 3y = 3

-4x+ 3y = 3

-4x + 3(2x + 1) = 3

-4x + (3)(2x) + (3)(1) = 3

-4x + 6x + 3 = 3

2x + 3 = 3

Subtract 3 on both sides

2x + 3 - 3 = 3 - 3

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x = 0/2

x = 0

So now since we find the number for x, we gonna use it to help us find the value for y.

To find y, we need to substitute 0 for x in y = 2x + 1

y = 2x + 1

y = 2(0) + 1

y = 0 + 1

y = 1

Thus,

The answer is: y = 1 and x = 0

How to graph?

You need to go on the thing where they put the numbers. y is located on top which has the positive numbers. So when you get there, make a line that comes from the top right side all the way to the bottom left sides. Remember that y = 1 so the line must pass through 1

I am not good with explanation. So I'll leave the graph down below then you'll see what I am talking about :)

Let me know if you have any questions. As always, it is my pleasure to help students like you!


3 0
3 years ago
What is <br> x = 0.6x + 384
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x = 0.6x + 384

subtract .6x from each side


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divide both sides by .4

x = 960

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11. For a math homework assignment, Karla found the
riadik2000 [5.3K]

Answer:

Option C. 12 by 15

Step-by-step explanation:

Let the length be L

Let the width be w

Area of rectangle = L x w

Perimeter of rectangular = 2 (L + w)

From the question given,

A = 180

P = 54

180 = L x w (1)

54 = 2(L + w) (2)

From equation (2),

54 = 2(L + w)

Divide both side by the 2

54/2 = L + w

27 = L + w

L = 27 — w (3)

Substituting the value of L into equation (1), we have:

180 = L x w

180 = w(27 — w)

180 = 27w — w^2

Rearrange the expression

w^2 — 27w + 180 = 0 (4)

Solving by factorization method:

Multiply the first term (i.e w^2) with the last term (i.e 180). This gives 180w^2. Now find two factors of 180w^2, such that their sum will result to the second (i.e —27w). These factors are —12w and —15w.

Now, substitute these factors (—12w and —15w) into equation (4)

w^2 — 27w + 180 = 0

w^2 — 12w —15w + 180 = 0

w(w — 12) — 15(w — 12) =0

(w — 12) (w — 15) = 0

w = 12 or w = 15.

Substituting the value of w into equation (3)

L = 27 — w

When w = 12

L = 27 — 12 = 15

When w = 15

L = 27 — 15 = 12

Since the length is longer than the width, the length is 15 and the width is 12.

Therefore the dimensions is 12 x 15

6 0
3 years ago
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