4 years ago

Find the approximate side length of each square to nearest whole unite

Mathematics

1 answer:

lord [1]4 years ago

3 0

$x^2 = 3000\\x = \sqrt{3000}\\x = 54.77\\\\x \approx 55$

So your answer is 55 feet.

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Find the sum of 3b/b 2 and 12/b 2 and express it in simplest form

alexandr1967 [171]

$\frac{3b}{b^{2}} + \frac{12}{b^{2}} = \frac{3b + 12}{b^{2}} = \frac{3(b) + 3(4)}{b^{2}} = \frac{3(b + 4)}{b^{2}}$

8 0

3 years ago

5. Seismologists use the Richter scale to measure the magnitudes and intensity of earthquakes that occur all over the earth. (se

vladimir1956 [14]

Answer:

158.49

Step-by-step explanation:

10^(3.4 - 1.2) = 158.48931924611

round to 158.49

4 0

3 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

3 years ago

I'm confused how you split the fraction

slava [35]

1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 6/3

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3 years ago

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Bridget was thinking of a number. Bridget doubles it, then adds 15 to get an answer of 16.4. What was the original number?

lyudmila [28]

0.7 is the correct number:)

6 0

3 years ago

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