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2 years ago

Can you evaluate the expressions for the given value. (show steps if you can)

Mathematics

1 answer:

exis [7]2 years ago

6 0

Answer:

Q1. -45

Q2. -10

Q3. 31?

Step-by-step explanation:

Q1 -- you times -8 and 2 which comes out to -16. Since you have -16 + 1 inside of the parentheses you add 1 to -16 which comes out to -15. Then you take -15 times 3 and it comes out to -45.

Q2 -- the m gets replaced by the 5 so now its -2 times 5. Which comes out to -10. Then you take -10 times 2, which is -20. Now take -20 + 10 which gives us the answer of -10.

Q3 -- I'm not completely sure on this one but I think the equation would transfer to this 2*5 + 5*3 + 2*3. So 2*5 is 10, 5*3 is 15, and 2*3 is 6. Add them all together and you get 31.

I hope this was right and it helps you!

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6x+6y=-6, 5x+y=-13<br>Show your process please<br>Solve the linear equation

lisabon 2012 [21]

Answer: Rewrite equations:

5x+y=−13;6x+6y=−6

Step: Solve5x+y=−13for y:

5x+y=−13

5x+y+−5x=−13+−5x(Add -5x to both sides)

y=−5x−13

Step: Substitute−5x−13foryin6x+6y=−6:

6x+6y=−6

6x+6(−5x−13)=−6

−24x−78=−6(Simplify both sides of the equation)

−24x−78+78=−6+78(Add 78 to both sides)

−24x=72

−24x

−24

(Divide both sides by -24)

x=−3

Step: Substitute−3forxiny=−5x−13:

y=−5x−13

y=(−5)(−3)−13

y=2(Simplify both sides of the equation)

Answer:

x=−3 and y=2

Step-by-step explanation:

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3 years ago

6/10 - 1/5= Pls help

Yuki888 [10]

Answer:

2/5?

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is a complementary angle and a supplementary angle? Please write at least a paragraph about it.

Elis [28]

Answer:

Step-by-step explanation:

A comlemetery angle is a angel or angles that add up to 90 degrees. They make a right angle. A supplemetry angle is a agle or agles that add up to 180 degrees and make a strate line.

6 0

3 years ago

When 2/3 of a number is increased by 20, the sum is then halved, the result obtained is the same as 2/3 of the number, increased

aleksklad [387]

$\frac{2/3x+20}{2} =\frac{2}{3} x+3\\\frac{2/3x+20}{2} - 3 = \frac{2}{3}x\\\frac{2/3x+20}{2} - \frac{6}{2} = \frac{2}{3}x\\\frac{2/3x+20-6}{2} = \frac{2}{3}x\\\frac{2/3x+14}{2} = \frac{2}{3}x\\2(\frac{2/3x+14}{2}) = 2(\frac{2}{3}x)\\2/3x+14=\frac{4}{3}x\\14=\frac{4}{3}x-\frac{2}{3}x\\14=\frac{2}{3}x\\\frac{14}{1}/\frac{2}{3}=x\\\frac{14}{1}*\frac{3}{2}=x\\7*3=x\\x=21$

The number is 21.

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3 years ago

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ(

maw [93]

The irrigation system is positioned 9.5 feet above the ground to start.
The spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.
The spray reaches all the way to the ground at about 10.87 feet away

<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: brainly.com/question/24288300

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<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away

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2 years ago