What are the solutions to the equation x² = 169? Choose all answers that are correct

Answers

Answer 1

Answer: $x^2 = 169 \ \ | -169 \n \nx^2 - 169 =169-169\n \nx^2-13^2=0\n \n(x-13)(x+13)=0\n \nx-13 = 0 \ \ or \ \ x+13 =0 \n \n x=13 \ \ or \ \ x= -13$

Answer 2

Answer: Since you are finding what number doubled equals 169 you have to find the square root of 169 which is 13 because 13 times 13 equals 169

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On a given morning the temperature was 71°F. The temperature dropped 5°F and then rose 8°F. How much does the temperature need to rise or fall to return to the initial temperature of 71°F? A) Fall 8°F
B) Fall 3°F
C) Rise 8°F
D) Rise 5°F

Answers

The temp starts at 71 degrees then drops 5 degrees

71 - 5 = 66 degrees

then it rises 8 degrees

66 + 8 = 74 degrees

How much does the temp have to rise or fall to get back to 71...

74 - 71 = 3 degrees

It has to fall 3 degrees F. Answer B.

B. Fall 3°F is your answer.

3. IF ON = 5x - 7, LM = 4x +4, NM = x - 7, and OL = 3y – 4, find the values of x and y for which LMNO mustbe a parallelogram. The diagram is not to scale.
N CH-7=5X

Answers

Answer:

x = 11 and $y = (8)/(3)$

Step-by-step explanation:

If LMNO is a parallelogram then it's opposite sides will be equal.

So, LM = ON

⇒ 4x + 4 = 5x - 7

⇒ x = 11

Now, MN = OL

⇒ x - 7 = 3y - 4

⇒ 11 - 7 = 3y - 4 {Since we already have, x = 11}

⇒ $y = (8)/(3)$ (Answer)

What is 9 3/4 as a percent

Answers

The mixfraction 9(3/4) as a percent is 975%.

We have,

To express 9 3/4 as a percent, we can follow these steps:

Step 1: Convert the mixednumber to an improperfraction.

Multiply the whole number (9) by the denominator (4) and add the numerator (3) to get the numerator of the improper fraction. The denominator remains the same.

9 3/4 = (9 * 4 + 3) / 4 = 39/4

Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.

39/4 = 9.75

Step 3: Convert the decimal to a percent by multiplying by 100.

9.75 * 100 = 975

Therefore,

9 3/4 as a percent is 975%.

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975%
To find the answer to this problem and many more like it you first turn the mixed number into a fraction by multiplying the whole number (9) by the denominator (4), the add the numerator (3) ,(9*4)+3=39, then put it over the denominator (4).
Next you have 39/4, so then you divide the numerator (39) by the denominator (4) and you should get 9.75. finally you multiply 9.75 by 100 then put a percent sign behind it to get your percent.

What is 7/10 - 44/100 =

Answers

$(7)/(10) - (44)/(100) = (70)/(100) - (44)/(100) = (70-44)/(100) = (26)/(100) =(13*2)/(50*2)\n\n=\boxed{\bf{(13)/(50)}}$

7/10 - 44/100 = 13/50

7/10 -44/100
= (7*10) / (10*10) - 44/100
= 70/100 - 44/100
= 26/100
= (26/2) / (100/2)
= 13/50

The final answer is 13/50~

In a stairway, the slope of the handrail is the ratio of the riser to the tread. If the tread is 12 inches long and the riser is 8 inches long, find the slope.(image)

a.
2/5
c.
2/3
b.
3/2
d.
5/2

Answers

The slope of the handrail is 2/3. The correct answer is: c. 2/3

To find the slope of the handrail, we can use the given information that the slope is the ratio of the riser to the tread.

Slope = Riser / Tread

Given that the tread is 12 inches long (Tread = 12 inches) and the riser is 8 inches long (Riser = 8 inches), we can substitute these values into the formula:

Slope = 8 inches / 12 inches

Now, we can simplify the ratio:

Slope = 2/3

So, the slope of the handrail is 2/3. The correct answer is:

c. 2/3

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C. 2/3 (8/12 simplified is 2/3)

Jamie uses 1/3 of a package of juice boxes. there were 6 juice boxes in the package to start with. write the fraction of the package Jamie use in sixths

Answers

Jamie uses 1/3 of a package of juice boxes. there were 6 juice boxes in the package to start with. 1/3 of the juice box used in sixths would equal to 2/6.