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VladimirAG [237]
1 year ago
12

Kuta Software In Systems of Two Solve each system by graphing. 2) y=x+2 1) y=-3x +41 y= 3x - 2

Mathematics
1 answer:
Dahasolnce [82]1 year ago
7 0

ok

Equations : 4x + y = 2 x - y = 3

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

x y x y

-2 10 -2 -5

-1 6 -1 -4

0 2 0 -3

1 -2 1 -2

2 -6 2 -1

The point where both lines cross is (1, -2) so it is the solution.

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The temperature was -6°F. It rose so that the temperature was 0°F. What integers represents the change in temperature.
Flauer [41]

Answer:

+6

Step-by-step explanation:

Just do 0 -(-6).

3 0
3 years ago
Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7
astraxan [27]

Answer    g

Step-by-step explanation:

g

3 0
2 years ago
Read 2 more answers
a wire of length 200 cm is cut into two parts and each part is bent to form a square.If the area of the larger square is 9 times
diamong [38]

<em>Answer:</em>

<em>The perimeter of the larger square is 150cm.</em>

<em>Step-by-step explanation:</em>

<em>First of all, let one part of it be "x"</em>

<em>and the other part of it "200-x"</em>

<em>Now to solve this :</em>

<em>The area of the square = L^2</em>

<em>The area of one part of the square = x^2</em>

<em>The area of the other part of the square = (200-x)^2</em>

<em>9x^2= (200-x)^2\\9x^2=40000-400x+x^2</em>

<em></em>

<em>Now, add, -4x^2 to both the sides :</em>

<em>9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0</em>

<em />

<em>Now, take out the "8" which is common :</em>

<em>-8(x^2+50x-5000)=0</em>

<em></em>

<em>Now, divide it by -8 :</em>

<em>x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\</em>

<em>x=-100 or 50</em>

<em />

<em>So, now we know that :</em>

<em>One of the part is = 50cm</em>

<em>And the other part is = 150cm</em>

<em />

<em>Thus the perimeter of the larger square is = 150cm</em>

3 0
3 years ago
Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please
Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0
2 years ago
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
sergey [27]

Step 1) Divide the figure into separate shapes

Long rectangle: 27 x 5

Triangle: 3 x 4

Middle rectangle: 15 x 7

Small rectangle: 6 x 3

Step 2) Find the area of each shape

Long rectangle: A = 27 x 5 = 135

Triangle: A = 1/2 x 3 x 4 = 6

Middle rectangle: A = 15 x 7 = 105

Small rectangle: 6 x 3 = 18

Step 3) Add all of the areas together

A = 135 + 6 + 105 + 18 = 264 square feet

Hope this helps! :)

8 0
3 years ago
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