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OlgaM077 [116]
3 years ago
9

Give two real life examples in which two lines are both parallel to a third line

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0
Lines on a two lane road, lines on a runway
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3 years ago
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
Please help me with my homework :)
n200080 [17]

Step-by-step explanation:

x = 36

y = 48

z = 72

hope it helps

3 0
2 years ago
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Which describes an isometric transformation? dilation/ rotation/ side length change/ angle change
Westkost [7]

Answer:

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Step-by-step explanation:

"Isometric" means all measures stay the same.

  • dilation changes all lengths
  • <em>rotation changes no measures -- an isometric transformation</em>
  • side length change obviously changes the length of a side
  • angle change obviously changes the measure of an angle
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To make 2 batches of nut bars, Jayda needs to use 4 eggs. How many eggs are used in each batch
Maru [420]
There would be 2 eggs used in each batch
3 0
3 years ago
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