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Karo-lina-s [1.5K]
3 years ago
11

the sum of four times the first number and three times the second number is 15. the difference of three times the first number a

nd twice the second number is 7 . find the numbers​
Mathematics
1 answer:
Nana76 [90]3 years ago
3 0

Hey there!

Let's create a systems of equations using x and y.

4x+3y=15

3x-2y=7

We need to solve this using elimination. First, we need to multiply the first equation by 2/3 so that we can cancel out the y's when combining our equations.

2 2/3x+2y=10

3x-2y=7

Now we combine the equations...

5 2/3x=17

x=3

Now we can plug our x into the first equation to find y.

12+3y=15

y=1

Our numbers are 3 and 1.

I hope this helps!

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2)sixty four

3)4³

4)8²

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Which of the following equations is equivalent to 3(2p + 4) - (3p - 4) = 43?
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2 years ago
2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


3 0
3 years ago
Read 2 more answers
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Answer
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6 0
3 years ago
Read 2 more answers
In science class, Priscilla heats water and measures the temperature of the water every 2 minutes\or data are shown in the table
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Answer:

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1 minute after 4 minutes, when the temperature is 35 °C, we expect it to be 2.5 °C higher, or 37.5 °C.

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