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andrezito [222]
3 years ago
6

Line segments JK and JL in the xy-coordinate plane both have a common endpoint J (-4,11) and midpoints an M1 (2,16) and M2 (-3,5

) respectively. What is the distance between M1 and M2? Round to the nearest tenth

Mathematics
1 answer:
Arisa [49]3 years ago
8 0

Answer:

12.1  

Step-by-step explanation:

The dashed line joining M₁ and M₂ is the hypotenuse of a right triangle as shown in red below.

The base of the triangle is

x₂ - x₁ = 2 - (-3) = 2+ 3 = 5

The height of the triangle is

y₂ - y₁ = 16 - 5 = 11

We can now use Pythagoras' theorem to calculate distance between the two midpoints.

x² = 5² + 11² = 25 + 121 = 146

x = √146 = 12.1

The distance between M₁ and M₂ is 12.1.

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Micaela is 2 years older than Sam. In 4 years, the sum of their ages will be 40. How old is Micaela now?
Ann [662]

Answer:

The error is: The solution shows the Sam's age and the problem asked for Micaela's age.

Solution fixed: m=17

Micaela is 17 years old now.

Step-by-step explanation:

The error is: The solution shows the Sam's age and the problem asked for Micaela's age.

To fix the error, you can set up these equations based on the information given:

m=s+2  

(m+4)+(s+4)=40  

Solve for "s" from the first equation:

s=m-2

Substitute this equation into the second equation:

(m+4)+((m-2)+4)=40  

Now you need to solve for "m":

m+4+(m-2+4)=40\\m+4+m+2=40\\m+m=40-4-2\\2m=34\\m=\frac{34}{2}\\\\m=17

Micaela is 17 years old now.

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Answer:

\frac{2}{1}

Step-by-step explanation:

Hello!

To find the slope of a line we divide how many times it goes over by the number of times it goes up

The line goes over 4 and up 2 which is shown like

\frac{4}{2}

We can simplify this

\frac{2}{1}

The answer is \frac{2}{1}

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Answers:

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============================================================

Explanation:

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To go from y = 1 to y = 4, we add 3

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The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.

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Answer:

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