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Nostrana [21]
2 years ago
11

The image of p(m,5-n) when reflected on line y=0 is p'(2m-3,2n-8) find the values of m and n​

Mathematics
1 answer:
lora16 [44]2 years ago
3 0

Answer: m=n=3

Step-by-step explanation:

Reflecting across the y=0, in other words, the x-axis, means

(x,y) \longrightarrow (x,-y)

So, p(m,5-n) \longrightarrow p'(m,n-5)=p'(2m-3, 2n-8)

This gives us the system

m=2m-3 \longrightarrow \boxed{m=3}\\\\n-5=2n-8 \longrightarrow \boxed{n=3}

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Find the product of the greatest common divisor and the least common multiple of 18 and 42.
Evgesh-ka [11]

The product of the greatest common divisor and the least common multiple of  two numbers is always the product of the two numbers. So, you have

\text{lcm}(18,42)\times\text{GCD}(18,42)=18\times 42=756

5 0
3 years ago
Using the information in the table, which animal shelter shows that exactly 42% of the total animals are cats? 100 out of 160 42
arlik [135]
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Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpr
Phantasy [73]

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

y=mx+b            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and m=15.

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting x=10,y=200,m=15 in (i), we get

200=15(10)+b

200=150+b

200-150=b

50=b

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

5 0
3 years ago
Angle P measures 112 degrees, what are the measures of angle N and O?
Oxana [17]
The inside angles of a triangle need to equal 180 degrees
 in this triangle the lines NP and OP are identical so the 2 unknown angles would be equal
 so the 2 unknown angles would be 180 - 112 = 68 / 2 = 34 each
 angle N & O are 34 degrees


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4 years ago
Convert: 100 yards to meters. <br><br> A)9.14<br> B)91.4<br> C)914<br> D)9140
astra-53 [7]
The answer is B. 91.44
3 0
3 years ago
Read 2 more answers
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