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3 years ago

What is the area of a rectangle 8 units long and 2 units wide?

Mathematics

1 answer:

asambeis [7]3 years ago

4 0

Answer:

16 units

Step-by-step explanation:

The formula for area of a rectangle is Area = length * width

The problem statement gives the following information:

Length = 8 units

Width = 2 units

Plugging in we get

Area = 8 * 2

Area = 16 units

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Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

3 0

3 years ago

1. Which polynomial is equal to (4x^2 - 3x - 1)+(-3x^2 + 5x - 8)

RSB [31]

Answer:

Step-by-step explanation:

x4+28+584+-4847-+6384

did it for me either ir you excited for the good of a great day I just want it to be a cube has

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3 years ago

What is the value of the ratio 12 1/2 14 3/4 feet

Tanzania [10]

1.4 hope ithelped!

:D

3 0

3 years ago

What is 65% of 20? ye

irga5000 [103]

Answer:

Step-by-step explanation:

x/20 = 65%/100

20 x 65 = 1300

1300 divided by 100 = 13

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2 years ago

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Find the equations of the line u that cuts the x-axis at x=-6 and the y-axis at y=-4

never [62]

The equation of the line is y = -2/3(x) - 4

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3 years ago