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katrin [286]
3 years ago
15

A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is

(400−40t) dollars and the balance of the fundraising account is (150+32t) dollars.
Mathematics
1 answer:
navik [9.2K]3 years ago
8 0

im no longer a beginner

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2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .
professor190 [17]

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor \frac{2}{3} and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)

or

(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)

or

(x, y) \rightarrow (\frac{2}{3}x+\frac{1}{3} , \frac{2}{3}y-\frac{1}{3} )

Now,  

for R = (2,1)  

the image R' = (\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} ) or

(\frac{4}{3}+\frac{1}{3} , \frac{2}{3}-\frac{1}{3} )

⇒ R' = (\frac{5}{3} , \frac{1}{3})  

For S = (2, -2) ,

the image S'=  (\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} ) or

(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )

⇒ S' = (\frac{5}{3} , -\frac{5}{3})

and For T = (-1, -2)

The image T' =  (\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} ) or

(\frac{-2}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )

⇒ T' = (\frac{-1}{3} , \frac{-5}{3})

Now, label the image of RST on the graph as shown below in the attachment:

5 0
3 years ago
What does the 2 represent in 2/4
scZoUnD [109]
It represents 1/2, 50% or half of the equation.
it’s also the numerator, tells how many pieces you have from the whole.
8 0
1 year ago
The crab nebula is a cloud of gas and dust particles in space that is expanding at a rate of 930 miles per second. What is its r
Flauer [41]
There are 3,600 seconds in one hour so if it expands at rate of 930 miles per second then 930 * 3600= 3,348,000 miles per hour
7 0
3 years ago
What's the answer to this??
Evgen [1.6K]
The variable "x" equals 7
3 0
3 years ago
​​​​​​​If K = F( A + B ) , find “ A ” if F = 2 , B = 3 , K = 10
Oxana [17]

Answer:

The value of A is 2

Step-by-step explanation:

F = 2 , B = 3 , K = 10

K = F( A + B )

10 = 2(A + 3)

10 = 2A + 6

Now, Subtract 6 from each side we get,

10 - 6 = 2A + 6 - 6

4 = 2A

2A = 4

Now, divide both side by 2 we get,

2A/2 = 4/2

A = 2

Thus, The value of A is 2

<h3><u>FOR V</u><u>ERIFICATION</u><u> ONLY</u> :-</h3>

K = F( A + B )

10 = 2(2 + 3)

10 = 2(5)

10 = 10

L.H.S = R.H.S

Hence Proved!

<u>-TheUnknownScientist</u><u> 72</u>

7 0
2 years ago
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