What is 20 percent of 65

Vitek1552 [10]

Answer:

The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).

The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).

Step-by-step explanation:

Reflection across x-axis

The rule used for Reflection across x-axis is that y-coordinate becomes negated while x coordinate remains same.

So,

The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).

Because according to definition, x-coordinate remains same, while y-coordinate is negated. So x-coordinate = -4, y-coordinate = 2

Reflection across y-axis

The rule used for Reflection across y-axis is that x-coordinate becomes negated while y coordinate remains same.

So,

The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).

Because according to definition, y-coordinate remains same, while x-coordinate is negated. So x-coordinate = 4, y-coordinate = -2

7 0

3 years ago

From a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper. T

levacccp [35]

Answer:

Max vol = 2 cubic metres

Step-by-step explanation:

Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.

Side of the square = 3m

If squares are to be cut from the corners of the cardboard we have the dimensions of the box as

3-2x, 3-2x and x.

Hence x can never be greater than or equal to 1.5

V(x) = Volume = $V(x) = x(3-2x)^2\\= 9x+4x^3-12x^2$

We use derivative test to find the maxima

$V'(x) = 9+12x^2-24x\\V"(x) = 24x-24\\$

Equate I derivative to 0

$9+12x^2-24x=0\\x=1/2,3/2$

If x= 3/2 box will have 0 volume

So this is ignored

V"(1/2) <0

So maximum when x =1/2

Maximum volume

= $9(1/2)+4(1/2)^3-12(1/2)^2\\=2$ cubic metres

6 0

2 years ago

A project on Kickstarter.com was aiming to raise $15000 for a precision coffee press. They ended up with 714 supporters, raising

Leni [432]

For this, we can set up a proportion.
Their aim was 15000, so if they raised 100% of their goal, they wouldve raised exactly 15000.
They raised 557%, so how much did they make?

Proportion:

$15000 100%
$x 557%

Our expression would be x=$15000*557% divided by 100%, which would be $83550, so... a lot of money.

(we did an “x” formation with the proportion, ie “connected” x with 100, and “connected” 15k and 557. The number connecting to x is what we divide the equation by, and the other two are multiplied and then divided by the first number connecting to x. Otherwise we couldve calculated 557% of 15000 and gotten the same result. Whichever way is easier for you :) )

3 0

3 years ago

Which points of the following points are solutions to the equation 3x-4y-8=12

Natali [406]

Answer:

(0, -5), (4, -2), (-16, -17)

Step-by-step explanation:

I attach your full question in the image below

The equation is

3x-4y-8=12

Which can be rewritten as

3x-4y =12 +8

3x-20 = 4y

y = (3/4)*x - 5

We need to check each individual case

(0,-5)

y = (3/4)*(0) - 5

y = -5

True

(4,-2)

y = (3/4)*(4) - 5

y = -2

True

(8,2)

y = (3/4)*(8) - 5

y = 1

False

(-16,-17)

y = (3/4)*(-16) - 5

y = -17

True

(-1,-8)

y = (3/4)*(-1) - 5

y = -23/4

False

(-40,-34)

y = (3/4)*(-40) - 5

y = -35

False

(0,-5) (4,-2) and (-16,-17) are the solutions

8 0

2 years ago

Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in?.

anygoal [31]

Answer:

WE HAVE FIND HOW MUCH MAY TIME BIGGER IS THE VOLUME OF PYRAMID B THAN PYRAMID A.

The answer is 32 times

Step-by-step explanation:

Volume of Pyramid B = 3136 in³

Volume of Pyramid A = ?

We have to find volume of Pyramid A. As Pyramid is a square pyramid, its volume is given as:

$V=\frac{(b^2)(h)}{3}$

where b = base = 7 and h = height = 6. Substitute the values:

$V=\frac{7^2\cdot6}{3}\\V=98\\$

Volume of Pyramid A = 98 in³

To find how many time B is bigger than A, divide volume of B by A:

$\frac{3136}{98}=32$

So, volume of Pyramid B is 32 times bigger than volume of Pyramid A

6 0

2 years ago