All categories

3 years ago

Simplify this expression. (√2 + √3)(√5 - √7)

Mathematics

2 answers:

Fynjy0 [20]3 years ago

7 0

Answer:

\sqrt{10}-\sqrt{14}+\sqrt{15}-\sqrt{21}

OPTION B

Stels [109]3 years ago

4 0

\sqrt{10}-\sqrt{14}+\sqrt{15}-\sqrt{21}

You might be interested in

How much would you need to deposit in an account now in order to have $3000 in the account in 15 years? Assume the account earns

Rzqust [24]

Answer:

Principal = Total ÷ (1 + Rate)^years

That formula is found here: http://www.1728.org/compint2.htm

Principal = 3.000 / (1.03) ^ 15

Principal = 3.000 / 1.5579674166

Principal = $1,925.59

Step-by-step explanation:

7 0

2 years ago

Y varies inversely with x.

djyliett [7]

Y is 7.5
A easy way to do it is simply graph it or divide it!
For instance, since x=5 is half of x=10, we would just divide 15 by 2 to get Y which is 7.5

7 0

2 years ago

A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much

stich3 [128]

Answer: $227.75\ ft^2$

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

$A=lw$

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

$l=20\ ft\\\\w=15\ ft$

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

$A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2$

The area of the flower garden which is an square, can be calculated with this formula:

$A=s^2$

Where "s" is the side length.

In this case you know that:

$s=8.5\ ft$

Then the area of the flower garden is:

$A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2$

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

$A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2$