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2 years ago

Solve the equation using the square root property. Show your work, please! 5x^2 + 80 = 0

Mathematics

1 answer:

Phantasy [73]2 years ago

4 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 4 i, - 4 i

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How to simplify the expression 10h+6-5h+3

marin [14]

Answer:

You just have to combine terms

Step-by-step explanation:

10h + 6 - 5h +3 can be written as:

10h - 5h + 3 + 6 (now all you have to do is combine terms)

5h + 9

8 0

3 years ago

A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of

romanna [79]

Answer:

The gallons of gas the tank contain now is 35 1/12.

Step-by-step explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank $=1\frac{3}{4}=\frac{7}{4}$ .

Gallons of gasoline Casey adds $=33\frac{1}{3} =\frac{100}{3}$ .

According to question:

By adding we get the total gallons of gasoline now tank contain:

$\frac{7}{4} +\frac{100}{3}$

$=\frac{7\times 3+100\times 4}{12}$

$=\frac{21+400}{12}$

$=\frac{421}{12}$

$=35\frac{1}{12}$

Therefore, the gallons of gas the tank contain now is 35 1/12.

5 0

3 years ago

Plsss help!!! y = ?? X =???

Lyrx [107]

Answer:

x=80* y=20* and X=100*

Step-by-step explanation:

If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.

We know that a triangle adds up to 180 degrees.

Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).

By opposite angles, QXP is equal to 80 degrees also.

Then we are left with solving for X.

Supplementary angles add up to 180 degrees.

Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.

8 0

3 years ago

The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit

Musya8 [376]

Answer:

C. 647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

Area of the octagon

$\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}$

where:

n = number of sides
l = length of one side
a = apothem

Given:

n = 8
l = 13
a = 15.69

Substitute the given values into the formula and solve for A:

$\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}$

$\implies \textsf{Area}=\sf \dfrac{1631.76}{2}$

$\implies \textsf{Area}=\sf 815.88\:\:square \:units$

Area of the square

$\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units$

Area of the shaded region

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0

2 years ago

Read 2 more answers

Solve for the value of y. 13 points

iogann1982 [59]

Answer:

y=30

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers