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tresset_1 [31]
3 years ago
15

Use subsititution to solve each system of equations. [x=2y] [y = x -2]

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

x=4

y=2

You can substitute the equations like y=1/2x and -x+y+2.

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Solve the equation: <br> 2x + B= C<br><br> X=
Angelina_Jolie [31]
Add (-2X) to both sides:
2X + B + (-2X) = C + (-2X)
If we (rearrange) it into B + 2X + (-2X) = C + (-2X)
B + 2X - 2X = C + (-2X)
Since +2X - 2X = 0
B + 0 = C + (-2X)
B = C + (-2X)
B = C - 2X
6 0
3 years ago
Use the Pythagorean Theorem to find an approximate value of x
kozerog [31]

Answer:

Step-by-step explanation:

Hypotenuse² =base² + altitude²

(3x + 4)² = (2x + 1)² + (3x)²

{Use (a+b)² = a² + 2ab + b²}

(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²

9x² + 24x + 16 = 4x² + 4x + 1 + 9x²

9x² + 24x + 16 = 13x² + 4x + 1

0 = 13x² + 4x  + 1 - 9x²  - 24x - 16

13x² - 9x² + 4x - 24x +1 - 16 = 0

4x² - 20x - 15 = 0

a = 4 ; b =-20  ; c = -15

D = b² - 4ac  = (-20)² - 4*4*(-15) = 400 + 240 = 640

√D = √640 = 25.30

x=\dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\\\x=\dfrac{20+25.30}{2*4} \ ; \ x=\dfrac{20-25.30}{2*4}\\\\\\x=\dfrac{45.30}{8} \ ; \  x =\dfrac{-5.30}{8}\\\\

x = 5 .66   ; x = -0.66

Ignore x = -0.66 as length of a side cannot be negative

Answer : x = 5.66

7 0
2 years ago
1) -15 - 47 = 3(7-7)
lidiya [134]
What is the question?
5 0
3 years ago
Trophies for Gunther's soccer team will cost $6.25 each, plus 15 cents for every word on the engraving. Which equation could be
Lynna [10]

Answer:

Step-by-step explanation:

c = $6.25 + 0.15w

$6.25 represents the fixed cost. it is the cost that does not vary with the number of words

15 cents is the variable cost. it is the cost that varies with the number of words.

to write the equation convert 15 cents to dollars by dividing by 100.

6 0
2 years ago
Find the value of 2.<br> 35°<br> xº<br> (x + 95)°
nevsk [136]

Answer:

x = 25°

Step-by-step explanation:

The sum of the interior angles of a triangle = 180°

180° = 35° + x° + x + 95°

2x° = 50°

x = 25°

8 0
2 years ago
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