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3 years ago

Help with this proof

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

If you draw diagonal EG, then triangle EFG is congruent to triangle EHG since they have 3 congruent sides.

This means that angle FEG is congruent to angle HGE. Since the alternate angles are equal, they must be bounded by parallel lines i.e. EF is parallel to HG.

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What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −

Sergio [31]

Answer:

$g(x) = 2x^2 - 3x - 1$

Step-by-step explanation:

Given

$f(x) = 2x^2 + 3x - 1$

Required

Determine g(x), if f(x) is reflected across the y axis

When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).

In other words,

$g(x) = f(-x)$

Calculating f(-x)

$f(-x) = 2(-x)^2 + 3(-x) - 1$

$f(-x) = 2x^2 - 3x - 1$

Substitute g(x) for f(-x)

$g(x) = 2x^2 - 3x - 1$

Hence;

$g(x) = 2x^2 - 3x - 1$

7 0

2 years ago

The polynomial −16t^2+550 gives the height of a ball t seconds after it is dropped from a 550-foot-tall building. Find the heigh

zhenek [66]

Answer:

486 feet

Step-by-step explanation:

h = -16t² + 550

h = -16(2)² + 550

h = 486

7 0

3 years ago

HELP!!! What are the quotient and remainder when x^3 + 9x^2 + 21x + 24 is divided by x + 2? PLEASE HELP

Sedaia [141]

Answer:

A) The quotient is x^2+7x+7 and the remainder is 10.

Step-by-step explanation:

Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.

4 0

3 years ago

3/4 x 8 = ? I need help for this question.

ahrayia [7]

Answer:

6 hope this was fast

7 0

2 years ago

Read 2 more answers

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

scoray [572]

Answer: 12

Step-by-step explanation:

You can multiply by 12 because to get rid of the fractions all terms should be divided by the LCM (ie the smallest multiple that is exactly divisible by 2, 4 and 3)

Multiples of 3 = 3, 6, 9, 12

Multiples of 4 = 4, 8, 12, 16

Multiples of 2 = 2, 4, 6, 8, 10, 12

Therefore the fractions should be multiplied by 12

5 0

2 years ago

Read 2 more answers