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1 year ago

Find the solution of the system of equations. x-y=-3-8x+y=45

Mathematics

1 answer:

mezya [45]1 year ago

5 0

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

$\frac{2y}{2} = \frac{56}{2}$

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!

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worty [1.4K]

Answer:

Part A) Circumference

Part B) $C=\pi D$

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

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Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

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we have

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substitute in the formula of circumference

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3 years ago

Which postulate or theorem, if any, could be used to prove the triangles congruent? If not

inysia [295]

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Question 11b)

We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
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We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF

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$\huge\text{Hey there!}$

$\large\text{-2.9f + 0.9f -12 - 4}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(-2.9f + 0.9f) + (-12 - 4)}\\\\\large\text{(-2.9f + 0.9f) = \bf{-2f}}\\\\\large\text{(-12 - 4) = \bf{-16}}\\\\\large\text{= \bf{-2f - 16}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{-2f - 16}}}}\huge\checkmark$

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