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3 years ago

6

the vertex of a triangle is located at (-2,3). it is rotated 90 degrees clockwise about the origin. what is the new y- coordinat

e of the vertex?

1 answer:

irina1246 [14]3 years ago

5 0

Answer:

90° clockwise rotation rule (about the origin) for a point

Step-by-step explanation:

(x , y) → (y, -x)

Swap x and y......change the sign on x

Can you take it from here ???

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The expression 475 * 1.076 ^ t the average annual per capita health care costs, in dollars, in the US as a function of the numbe

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Answer:

$Y(t)= 475 (1.076)^t$

Where Y(t) represent the average annual per capita health care costs

475 represent the initial amount for the average annual per capita health care costs

t represent the number of years since 1970

And 1.076 represent the growth factor given by:

$1+r = 1.076$

And solving for r we got:

$r = 1.076-1 =0.076$

So for this case we can say that the value 1.076 represent the growth factor.

Step-by-step explanation:

For this case we have the following model given:

$Y(t)= 475 (1.076)^t$

Where Y(t) represent the average annual per capita health care costs

475 represent the initial amount for the average annual per capita health care costs

t represent the number of years since 1970

And 1.076 represent the growth factor given by:

$1+r = 1.076$

And solving for r we got:

$r = 1.076-1 =0.076$

So for this case we can say that the value 1.076 represent the growth factor.

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I need help on this problem please

andrew11 [14]

Step-by-step explanation:

side ratio = big/small = 28/4 = 7

perimeter ratio = side ratio = 7

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Step-by-step explanation:

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A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the

vovangra [49]

Answer: (A) $A=300l-l^{2}$

(B) Length varies between 1 and 150

(C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

$2l+2w=600$

Area of a rectangle is calculated as

$A=lw$

Now, we have a system of equations:

$2l+2w=600$

$A=lw$

Isolate w, so we have l:

$2w=600-2l$

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

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Replace l in the equation:

w = 300 - 150

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Now, calculate the largest area:

A = 150*150

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Well if 1 is blue and 2 is tan and 3 is blue and across from 1.

Then 4 will be tan because it is across from 2 which is tan.

C.

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