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1 year ago

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

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:

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:

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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]

Answer:

The perimeter of the larger square is $150cm.$

Step-by-step explanation:

First of all, let one part of it be " $x$ "

and the other part of it " $200-x$ "

Now to solve this :

The area of the square = $L^2$

The area of one part of the square = $x^2$

The area of the other part of the square = $(200-x)^2$

$9x^2= (200-x)^2\\9x^2=40000-400x+x^2$

Now, add, $-4x^2$ to both the sides :

$9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0$

Now, take out the "8" which is common :

$-8(x^2+50x-5000)=0$

Now, divide it by $-8$ :

$x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\$

$x=-100$ or $50$

So, now we know that :

One of the part is = $50cm$

And the other part is = $150cm$

Thus the perimeter of the larger square is = $150cm$

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:

Let the second digit be x and the last digit be y

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