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2 years ago

The graph of y = |x-6| is in the standard (x,y)

Mathematics

1 answer:

Airida [17]2 years ago

8 0

9514 1404 393

Answer:

F. Translation to the right 6 coordinate units

Step-by-step explanation:

Replacing the function argument x with x-6 causes the graph to be translated right 6 units.

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For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

2 years ago

Which situation can the integer -71 represent?

hoa [83]

The answers C because it is below sea level and sea level is 0 so it has to be negative

4 0

2 years ago

(10) Jasmine uses 14.24 pounds of fruit for

solniwko [45]

The answer is 0.89 pounds of fruit per serving- please give brainliest answer!

5 0

2 years ago

Find the perimeter of a parallelogram whose base is 8cm and another side is 12cm

lidiya [134]

A parallelogram

P=2(a+b)

The answer is 64

P=2(a+b)=2·(24+8)=64

6 0

2 years ago

There are a total of 12 bicycles and tricycles in a parking lot. If there are 31 wheels in all, how many of them are bicycles?

leva [86]

Answer:

5 bicycles

Step-by-step explanation:

5 * 2 = 10 wheels

7 * 3 = 21 wheels

10 + 21 = 31

Hope this helped! Brainliest :)

6 0

1 year ago