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3 years ago

Also these 2 :) determining the vertex and shifts/translations

Mathematics

1 answer:

Mrrafil [7]3 years ago

6 0

Answer:

The answer to your question is below

Step-by-step explanation:

A) f(x) = x² + 4x + 1

Find the vertex

y = x² + 4x + 1

-Subtract 1 in both sides

y - 1 = x² + 4x

-Complete the perfect trinomial square in the right side

y - 1 + (2)² = x² + 4x + (2)²

-Simplify

y - 1 + 4 = (x + 2)²

y + 3 = (x + 2)²

-Find the vertex

V = (-2, -3)

f(x) = x²

g(x) = (x - 4)² - 2 See the picture below

Shifted right 4 units

Shifted down 2 units

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Please rply asap brainliest

Ira Lisetskai [31]

Answer:

x = 99,53633682

Step-by-step explanation:

sin(34) = x/178

x = sin(34)×178

x = 99,53633682

3 0

2 years ago

A scale reports a 15-pound weight as weighing 12.375 pounds. Which of the following is true?

rusak2 [61]

Answer:

Step-by-step explanation:

If it is accurate then it would have gotten the correct weight, but by going down to the thousandths it would be precise

4 0

3 years ago

Read 2 more answers

Please help

user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

$= \frac{ - b ± \sqrt{{b}^{2} - 4ac} }{2a} \\ = \frac{ - 6 ± \sqrt{{6}^{2} - 4 \times 1 \times - 720} }{2} \\ = \frac{ - 6 ± \sqrt{36 + 2880} }{2} \\ = \frac{ - 6 ± \sqrt{2916} }{2} \\ = \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2} \\ = \frac{48}{2} ... \frac{ - 60}{2} \\ = 24... - 30$

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

Hope It Helped You ;)

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@khuturr_

8 0

3 years ago

Slove................

m_a_m_a [10]

Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.

Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.

Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Solve for x.<br> −8x+14≥60 OR −4x+50<58

Reika [66]

Answer: The solution is,

$x\leq -\frac{23}{4}$ or $x>-2$