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3 years ago

Simplify the expression 7√5-3√80

Mathematics

1 answer:

dolphi86 [110]3 years ago

3 0

Answer:

$\boxed{\bold{7\sqrt{5}}}$

Step By Step Explanation:

Simplify $\bold{3\sqrt{8}\cdot \:0}$

$\bold{0}$

Rewrite Equation

$\bold{7\sqrt{5}-0}$

Simplify $\bold{7\sqrt{5}-0}$

$\bold{7\sqrt{5}}$

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When the smaller of two consecutive integers is added to to two times the larger, the result is 29

KengaRu [80]

Let the numbers be X and X+1. X+2(X+1)=29 X+2X+2=29 3X=29-2 X=27/3 X=9. Thus, the Numbers are therefore 9 and 9+1=10 i.e 9 & 10. Thus, when 9 is added to (2*10=20), the result is 29.

3 0

3 years ago

What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

NO SOLUTION

7 0

3 years ago

Simplify 9-2(x+6)

Annette [7]

9 - 2(x + 6) =
9 - 2x - 12 =
-2x - 3 <=

3 0

3 years ago

Read 2 more answers

Jessica has four small boxes that are the same size and one large box. Each of the four small boxes is 4 centimeters wide and 2

motikmotik

Answer:

H = 3

Step-by-step explanation:

V of Large box = 4 x (V of Small box)

96/4 = 24

24 = V Small box.

V = L x W x H

24 = 2 x 4 x H

24 = 8 x H

3 = H

Therefore height of small box is 3.

8 0

3 years ago

Stephanie is earning simple interest of 3.5% on her money each month. She currently has $1325 in her account. What will her bala

siniylev [52]

Answer:

$1556.88

Step-by-step explanation:

Since Stephanie is earning simple interest and not compound interest, we can multiply her interest rate for each month by how many months we are calculating for.

0.035 x 5 = 0.175

Then multiply that by her current balance but change the 0 in front of the 0.175 to a 1 to reduce the number of steps we have to take. (It automatically adds what is earned in interest to her current balance.)

1.175 x 1325 = 1556.875

7 0

3 years ago

Simplify the expression 7√5-3√80​

Simplify the expression 7√5-3√80