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3 years ago

If each edge of a square increased by 50%, by what percentage does the a?rea increase

1 answer:

8 0

Area of any rectangle = L W. Increase them 50% and they become 1.5L and 1.5W. New area is (1.5L)(1.5W) = (1.5 squared)(L W) = 2.25 (original area).

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What is the slope of the line passing thru the points (-6,-5) (4,4)

Katena32 [7]

Answer:

slope = $\frac{9}{10}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (4, 4)

m= $\frac{4+5}{4+6}$ = $\frac{9}{10}$

8 0

3 years ago

NEED HELP WORTH 100 POINTS SHOW YOUR WORK PLEASE

tia_tia [17]

Answer:

Q1:

$-5\sqrt{27c^2}$

$-5\sqrt{27}\sqrt{c^2}$

$-5\times\sqrt{9} \sqrt{3} \sqrt{c^2}$

$-5\times3\sqrt{3}\sqrt{c^2}$

$-5\times3\sqrt{3}c$

$-15\sqrt{3}c$

Q2:

$5\sqrt{72}-3\sqrt{32}$

$5\sqrt{36} \sqrt{2} -3\sqrt{16} \sqrt{2}$

$5\times6\sqrt{2}-3\times4\sqrt{2}$

$30\sqrt{2}-12\sqrt{2}$

$18\sqrt{2}$

Q3:

$\sqrt{108yz}+3\sqrt{98yz}+2\sqrt{75yz}$

$\sqrt{36} \sqrt{3} \sqrt{yz} +3\sqrt{49} \sqrt{2} \sqrt{yz} +2\sqrt{25} \sqrt{3} \sqrt{yz}$

$6\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}+10\sqrt{3}\sqrt{yz}$

$16\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}$

Q4:

$\sqrt{15n^2}\sqrt{10n^3}$

$\sqrt{15}n\sqrt{10n^3}$

$\sqrt{15}n\sqrt{10}\sqrt{n^2}\sqrt{n}$

$\sqrt{15}\sqrt{10}n^2\sqrt{n}$

$\sqrt{5}\sqrt{3}\sqrt{5}\sqrt{2}n^2\sqrt{n}$

$5\sqrt{3}\sqrt{2}n^2\sqrt{n}$

$5\sqrt{6}n^2\sqrt{n}$

Q5:

$\frac{\sqrt{3x^2y^3}}{4\sqrt{5xy^3}}$

$\frac{\sqrt{3}xy\sqrt{y}}{4\sqrt{5}y\sqrt{x}\sqrt{y}}$

Cancel off $\sqrt{x}$ :

$\frac{\sqrt{3}y\sqrt{x}\sqrt{y}}{4\sqrt{5}y\sqrt{y}}$

Cancel off $y:$

$\frac{\sqrt{3}\sqrt{x}\sqrt{y}}{4\sqrt{5}\sqrt{y}}$

Cancel off $\sqrt{y} :$

$\frac{\sqrt{3}\sqrt{x}}{4\sqrt{5}}$

Multiply $\sqrt{5}$ on the numerator and denominator:

$\frac{\sqrt{3}\sqrt{x}\sqrt{5}}{4\sqrt{5}\sqrt{5}}$

$\frac{\sqrt{15}\sqrt{x}}{20}$

5 0

3 years ago

A school is holding a talent show. A group of six friends entered the talent show and won the first place prize of $45, which th

Ghella [55]

Answer:

In the second group the individual members received a larger fraction of the prize money

Step-by-step explanation:

Division by Sharing

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

We can conclude in the second group the individual members received a larger fraction of the prize money

4 0

3 years ago

A rectangle has a perimeter of (20x+12y). If one side of the rectangle is (3x-4y), write the expression for the other side

Nady [450]

Answer:

(7x + 10y)

Step-by-step explanation:

To find this add (3x - 4y) to itself to calculate to lengths of the shorter sides.

(3x - 4y) + (3x - 4y) = 6x - 8y

Subtract this from (20x + 12y)

(20x + 12y) - (6x - 8y) = 14x + 20y Divide this by two to get the length of one side