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Rainbow [258]
2 years ago
13

A dilation has center (0,0). Find the image of the point L(6-8) for the scale factor 7.

Mathematics
1 answer:
rjkz [21]2 years ago
3 0

Answer:

D (42,-56)

Step-by-step explanation:

Scale factor means you multiply, so you multiply (6,-8) by 7.

6 x 7 is 42 and 7 x -8 is -56. So your answer is D (42,-56).  

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What is the simplified form of the quantity y-squared plus 7y plus 12 over the quantity y-squared plus 8y plus 15
Burka [1]
Firstly, let's factorise each equation individually - to do this, find 2 numbers that when summed add to the value of the second term, and when multiplied give the value of the third term.

7 and 12 give us 4 and 3 (4+3=7, 4*3=12) -- 8 and 15 give us 5 and 3 (5+3=8, 5*3=15)

Now we can rewrite these equations as (y+4)(y+3) and (y+5)(y+3) respectively.

Putting this in a fraction: (y+4)(y+3)/(y+5)(y+3) -- We can clearly see that there is a y+3 on both sides of the fraction, and given there are no terms outside of the brackets being multiplied, we can directly cancel.

This gives us our final answer:
(y+4)/(y+5)
8 0
3 years ago
Which quantity is proportional to 90/2?
slamgirl [31]

Answer:

45/1

Step-by-step explanation:

90/2=45/1

45*2=90

6 0
3 years ago
What is 2(9)0-7+3 to the 3rd power
RSB [31]

Answer:

I got -64

Step-by-step explanation:

The begging multiplication is 0 and subtract -7 is becomes just -7 then add 3 and it is -4 to the third power is -64

8 0
3 years ago
Numbers divisible by 100 are divisible by 5.
Reptile [31]

The additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.

<h3 /><h3>What is law of detachment?</h3>

Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.

For instance,

Statement A: If there's an increase in Mr Charles salary.

Statement B: Mr Charles buys bicycle for his son.

This means Mr Charles buying bicycle for his son is true because of the increase in income.

Learn more about law of detachment:

brainly.com/question/13966470

#SPJ1

8 0
2 years ago
The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
bonufazy [111]

Year      New flowers

1                 1200

2                 300

3                   75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by \frac{1}{4}

So first term is 1200 and common ratio is \frac{1}{4}.

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200(\frac{1}{4})^{i-1}

Now we find the sum

We use sum formula

Sum = \frac{a}{1-r}

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

Sum = \frac{1200}{1-(\frac{1}{4})}

Sum = \frac{1200}{\frac{3}{4}}

Sum = 1600 wildflowers

4 0
3 years ago
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