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madreJ [45]
3 years ago
5

I'm doing an area of the triangle can you help me ​

Mathematics
1 answer:
Fudgin [204]3 years ago
5 0

Answer:

72cm

Step-by-step explanation:

Area = b times h / 2

so 12 times 12 /2

144 / 2

72

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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
D says reflection across y=x please help
antoniya [11.8K]
The answer should be A.
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3 years ago
Use the base example of two people walking to describe a system of two linear equation has i.) 0 solution 2) 1 solution 3) an in
sveta [45]

The system has:

  • No solutions for two parallel lines.
  • 1 solution for two nonparallel lines.
  • Infinite solutions for two equations that describe the same line.

<h3>How to identify the number of solutions for the systems?</h3>

A system of two linear equations is given by:

y = a*x + b

y = c*x + d

1) The system has no solutions when both lines are parallel lines, this happens when both lines have the same slope and different y-intercept.

y = a*x + b

y = a*x + d

2) The system has one solution when the lines have different slopes:

y = a*x + b

y = c*x + d

3) The system has infinite solutions when both equations describe the same line:

y = a*x + b

y = a*x + b

If you want to learn more about systems of equations:

brainly.com/question/13729904

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7 0
2 years ago
What is the distance between (2,9) and (-7,15)
saveliy_v [14]
Answer: x+9 , y+6


i hope this helps
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4 years ago
Andrew must cut a rope 9 1/7 yards long into 8 equal
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Answer:

each rope should be 1 1/7 yard long

Step-by-step explanation:

9 1/7 ÷8

1 1/7

6 0
3 years ago
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