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Pavel [41]
2 years ago
12

To solve this system of equations using substitution, what could be substituted in place of y in the first equation? 4x = 5 − 2y

y − 2x = 7
Mathematics
1 answer:
erik [133]2 years ago
6 0

Answer:

y = -\frac{4x-5}{2}

Step-by-step explanation:

Step 1: Switch sides

5 - 2y = 4x

Step 2: Subtract 5 from both sides

5 - 2y - 5 = 4x - 5

Step 3: Simplify

-2y = 4x - 5

Step 4: Divide both sides by -2

\frac{-2y}{-2} = \frac{4x}{-2} - \frac{5}{-2}

Step 5: Simplify

y = -\frac{4x-5}{2}

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3 years ago
Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.
algol13

Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.


Since, perimeter is the total length of the outer boundary of the figure. Therefore,

Perimeter of the polygon is=AB+BE+ED+DC+CA

                                             =18+17+8+18+15

                                             =76 \ ft


Area of the polygon = Area of Rectangle + Area of Triangle

                                  =[(18) \times (15)] + [(\frac{1}{2}) \times (8) \times (15)]

                                  =270 + [(\frac{8}{2}) \times (15)]

                                  =270 + [4 \times (15)]

                                  =270 + 60

                                  =330 \ {ft}^{2}

7 0
3 years ago
Read 2 more answers
It's 9 4/5 miles from Justin's house to the art museum the distance to the history museum is 9/10 this far
Leno4ka [110]
The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98) 
98/100 x 9 = 882/100 or 8.82 

Justin's house is 8.82 miles from the museum. 
6 0
3 years ago
Read 2 more answers
The angles in a triangle are represented by 5x, 8x, and 2x+9. What is the value of x?
Ahat [919]

Answer:

x = 11.4

Step-by-step explanation:

The sum of the angles of any triangle must add up to 180°.  Since we have the expressions for each angle:  5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:

5x + 8x + (2x +9) = 180

Combine like terms:  15x + 9 = 180

Use inverse operations: 15x + 9 - 9 = 180 - 9

                                                     15x = 171  or x = 11.4

Check:  5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180

8 0
3 years ago
Given that (-3,8) is on the graph of f(x), find the corresponding point for the function f(x)-4
lora16 [44]
We have that

<span>The -4 will lower the y-value by 4.
Then (-3,8) will move to (-3,8-4)--------------> (-3,4)

the answer is the point (-3,4)</span>
6 0
3 years ago
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