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MrRissso [65]
3 years ago
14

Analyze the diagram below and complete the instructions that

Mathematics
1 answer:
8090 [49]3 years ago
6 0

Answer:

The shape is a square and a triangle, so all sides of the square are equal to 6, and applying the Pythagorean law to a right-angled triangle, we can find the value of x

Then

{x}^{2}  =  {6}^{2}  +  {3 }^{2}  \\  {x}^{2}  = 36 + 9 \\  {x}^{2}  = 45 \\ x = 3 \sqrt{5}

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A)<br> 2x + y - 12 = 0<br> x + y + 3 = 0
AVprozaik [17]

Answer:

x=15   and   y= -18

Step-by-step explanation:

2x + y - 12 = 0            Equation 1

x + y + 3 = 0                Equation 2

From two given equations, we can find the value of both x and y by finding the value of one variable from any one of the two equations in terms of other variable and putting it to other equation.

Solving equation 1

Finding 'y' in terms of 'x'           2x+y=12\\y=12-2x                 Equation 3

Putting above equation in equation 3 in 2

                                       x + y + 3 = 0

                                      x+12-2x+3=0

                                         x=15

Putting value of 'x' in equation 3 to find the value of 'y'

                                      y=12-2(15)\\y=12-30\\y= -18

6 0
4 years ago
What’s The Answer Of This? Please Answer ASAP
Radda [10]

Answer: 67 degrees

Step-by-step explanation:

4 0
2 years ago
Name the image of C(6,-4) under a rotation 90° about the origin. PLEASE HELP ME :)
adell [148]

Answer:

(4, 6)

Step-by-step explanation:

90 degree goes counterclockwise so

(6,-4) becomes( 4, 6)

(x,y) rotation 90 or -270 is (-y,x)

5 0
3 years ago
3/c+7 = 8/c+6<br><br> what is c?
olchik [2.2K]
3/c + 7 = 8/c + 6
3/c = 8/c - 1
-5/c = -1
c = 1/5
3 0
3 years ago
Read 2 more answers
Help me with this problem, please.
Novay_Z [31]

Answer:

m² + 7m + 12 = 0 is equivalent to (5x - 2)² + 35x - 14 = -12 ⇒ C

Step-by-step explanation:

To solve this problem substitute m by 5x - 2 in each answer to find which one give you the equation of x

The given equation is (5x - 2)² + 35x - 14 = -12

Let us start with answer A

∵ m² - 7m + 12 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² - 7(5x - 2) + 12 = 0

- Simplify the middle term

∵ - 7(5x - 2) = - 7(5x) + - 7(-2)

∴ - 7(5x - 2) = - 35x + 14

- Substitute - 35x + 14 in the equation

∴ (5x - 2)² - 35x + 14 + 12 = 0

- Subtract 12 from both sides

∴ (5x - 2)² - 35x + 14 = -12 ⇒ Not equal to the given equation

Let us check answer B

∵ m² - 7m - 2 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² - 7(5x - 2) - 2 = 0

- Simplify the middle term

∴ -7(5x - 2) = - 35x + 14

- Substitute - 35x + 14 in the equation

∴ (5x - 2)² - 35x + 14 - 2 = 0

- Add 2 to both sides

∴ (5x - 2)² - 35x + 14 = 2 ⇒ Not equal to the given equation

Now let us check answer C

∵ m² + 7m + 12 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² + 7(5x - 2) + 12 = 0

- Simplify the middle term

∵ 7(5x - 2) = 7(5x) + 7(-2)

∴ 7(5x - 2) = 35x - 14

- Substitute 35x - 14 in the equation

∴ (5x - 2)² + 35x - 14 + 12 = 0

- Subtract 12 from both sides

∴ (5x - 2)² + 35x - 14 = -12 ⇒ Equal to the given equation

Let us check answer D

∵ m² + 7m - 2 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² + 7(5x - 2) - 2 = 0

- Simplify the middle term

∴ 7(5x - 2) = 35x - 14

- Substitute 35x - 14 in the equation

∴ (5x - 2)² + 35x - 14 - 2 = 0

- Add 2 to both sides

∴ (5x - 2)² + 35x - 14 = 2 ⇒ Not equal to the given equation

m² + 7m + 12 = 0 is equivalent to (5x - 2)² + 35x - 14 = -12

7 0
4 years ago
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