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luda_lava [24]
3 years ago
11

Find x Find y and Find a

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

x is 95 degrees

y is 68.5 degrees

z is 68.5 degrees too

Step-by-step explanation:

180 - 57 - 28 is 95

180 - 43 = 137

137 / 2 = 68.5

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WILL MAKE BRAINLIEST!!!!Complete the system of equations with a linear equation so that the graphs of the equations intersect at
Nina [5.8K]
First, we have to find x- and y-intercepts of given equation.

1. y-intercept is a point (0, y) so substitute x = 0 and calculate:

y=x^3-3x^2+x-3\\\\y= 0^3-3\cdot0^2+0-3\\\\y=0-0+0-3\\\\\boxed{y=-3}

y-intercept = (0, -3)

2. x-intercept is a point (or points) (x, 0), so when we substitute y = 0 there will be:

0= x^3-3x^2+x-3\\\\0=x^2(x-3)+(x-3)\\\\0=(x^2+1)(x-3)\\\\\\x^2+1=0\qquad\vee\qquad x-3=0\\\\x^2+1\text{ always}\ \textgreater \ 0\qquad\vee\qquad x=3\\\\\boxed{x=3}

x-intercept = (3, 0)

Now, when we have x- and y-intercepts, we can write an equation of a line (graph of the linear function) that passes through this two points:

A=(3,0)\qquad\qquad B=(0,-3)\\\\\\
y-y_A=\dfrac{y_B-y_A}{x_B-x_A}(x-x_A)\\\\\\y-0=\dfrac{-3-0}{0-3}(x-3)\\\\\\y=\dfrac{-3}{-3}(x-3)\\\\\\y=1(x-3)\\\\\\\boxed{y=x-3}

Our linear equation is: y = x - 3
5 0
4 years ago
Given
babymother [125]

Answer:

f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -5x⁹ - x⁸ + 3x³ - 8

g(x) = -5x⁹ - 5x³ - 5x² + 5

<u>Step 2: Find f(x) - g(x)</u>

  1. Substitute:               f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 - (-5x⁹ - 5x³ - 5x² + 5)
  2. Distribute -1:            f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 + 5x⁹ + 5x³ + 5x² - 5
  3. CBT (x⁹):                  f(x) - g(x) = -x⁸ + 3x³ - 8 + 5x³ + 5x² - 5
  4. CBT (x³):                  f(x) - g(x) = -x⁸ + 8x³ - 8 + 5x² - 5
  5. CBT (Z):                   f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13

And we have our final answer!

8 0
3 years ago
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