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3 years ago

solve each equation below. check for extraneous solutions. please help and show work because i have no idea how to do this

Mathematics

1 answer:

Naya [18.7K]3 years ago

4 0

Hi Pls find attached file for both solutions

Hope i did not do any calculation mistake:)

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The measure of two angles in a triangle are shown in the diagram what equation can be used to find the value of x

earnstyle [38]

Answer:

Step-by-step explanation:

5 0

3 years ago

Choose all the expressions that are equal to 5/9×8. A. 9÷5×8 B. 8/9×5 C. 5÷8×9 D. 5×1/9×8 E. 5×8

Charra [1.4K]

<h2>Problem:</h2>

Choose all the expressions that are equal to 5/9×8.

A. 9÷5×8

B. 8/9×5

C. 5÷8×9

D. 5×1/9×8

E. 5×8

<h2>Solution:</h2>

$\purple{ \frac{5}{9} \times 8 = \frac{40}{9} = 4 \: \frac{4}{9} }$

$\red{9 \div 5 \times 8 = \frac{9}{5} \times 8 = \frac{72}{5} = 14 \: \frac{2}{5} }$

$\red{ \frac{8}{9} \times 5 = \frac{40}{9} = \boxed{4 \: \frac{4}{9} }}$

$\red{5 \div 8 \times 9 = \frac{5}{8} \times 9 = \frac{45}{8} = 5 \: \frac{5}{8} }$

$\red{5 \times \frac{1}{9} \times 8 = \frac{5}{9} \times 8 = \frac{40}{9} = \boxed{4 \: \frac{4}{9} }}$

$\red{5 \times 8 = 40}$

<h2>Answer:</h2>

<u>B</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>D</u>

Hope it helps

5 0

3 years ago

A number is squared. The result is squared, then that result is squared. The final number is 6561. What was the original number?

MissTica

The original number is 3.

I actually began with the guess-and-check method, but seeing as that won't always work, let's go over the formal way. To get the original number, you first need to determine how many times the number was squared.

To make it simple, let's use x to focus on the exponents. The number was squared 3 times, so x^2, x^2, x^2. Basically, you need to multiply. 2 * 2 * 2 = 8. So, now find the 8th root of 6561 (depending on the calculator, you can just input it). You should come up with 3. Let me know if this part confuses you.

To find the next 2 numbers, you just need to continue the pattern.

6561^2 = 43,046,721

43,046,721^2 = 1,853,020,188,851,841

To my knowledge, which means this could be wrong, they're both perfect squares. Since the number to get them both were whole numbers, they should both have a square root that equals a whole number.

3 0

3 years ago

Find the equation of the line with slope = 6 and passing through (6,43). Write your equation in the form y = m x + b .

gayaneshka [121]

Answer:

y = 6x + 7.

Step-by-step explanation:

Using the point-slope form of a line

y - y1 = m(x - x1)

m = 6, x1 = 6 and y1 = 43:

y - 43 = 6(x - 6)

y - 43 = 6x - 36

y = 6x - 36 + 43

y = 6x + 7.

5 0

3 years ago

Please help ! 1 & 2 :)

Korolek [52]

Answer:

first one 401.76, second one 93.96

Step-by-step explanation:

7 0

3 years ago

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