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3 years ago

What is (3x+2y)^2 ?mmmmmmmmmmmmmmmnnnnnnnmmmmm

Mathematics

1 answer:

Vikki [24]3 years ago

3 0

(3x + 2y)^2

Use the FOIL method (first, outside, inside, last)

(3x + 2y) (3x +2y)

9x^2 +6xy +6xy +4y

9x^2 + 12xy + 4y is your answer.

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The length of a rectangle is 3 meters less than twice the width. if the area of the rectangle is 527 square meters, find the di

Andrei [34K]

<span>The rectangle is 17 meters wide and 31 meters long. To solve this problem, first work out the equation for the length of the rectangle. Using the information given, we find that length (L) is given by L=2W-3. Next we setup the formula for the area of a rectangle, A=(W)(L). We are told that the area is 527 sq. meters, so our equation is 527=(W)(L). We also know that L=2W-3, so we can plug that into the equation for area as well which gives us 527=W(2W-3), which can be written 0=2(W^2)-3W-527. We now need to solve this equation for W. Factoring the left side we get, 0=(W-17)(2W+31). Thus, either (W-17)=0 or (2W+31)=0 must equal zero. Solving these two equations, we get W=17 or W=-15.5. Since we are looking for the width (which is a length), we know it cannot be negative and therefore the width must be 17 meters. Now that we know the width, we can plug W=17 back into the equation for length (L=2W-3). Doing this give us L=2(17)-3 which is equal to 31. Thus the length is 31 meters.</span>

4 0

4 years ago

Allison's team scored 78 points in total. Nineteen of the baskets counted 1 point each. The remaining 27 baskets we're 2 point a

sweet [91]

Answer:

1 point baskets = 19

2 point baskets = 22

3 point baskets = 5

Step-by-step explanation:

Given:

Number of points scored (P) = 78

Number of 1 point baskets = 19

Number of 2 and 3 points basket = 27

Let the number of 2 point baskets be 'x' and 3 point basket be 'y'.

Therefore,

$x+ y=27\\\\y=27-x$

Now, points scored per 2 point basket = 2

So, points scored for 'x' baskets = $2x$

Also, points scored for 'y' baskets = $3y=3(27-x)=81-3x$

Now, total points scored is equal to the sum of 1 point baskets, 2 point baskets and 3 point baskets. Therefore,

$P=19+2x+81-3x\\\\78=100-x\\\\x=100-78\\\\x=22$

Therefore, number of 2 point baskets = 22

Now, number of 3 point baskets = 27 - 22 = 5

So, there were 19 one point baskets, 22 two point baskets and 5 three point baskets.

7 0

3 years ago

Read 2 more answers

Check the add-on inside please tell me the answer.

labwork [276]

Answer is A.
P−⁸ × Q −²⁰ × P⁸ × Q−¹⁰
Q−³⁰
1/q³⁰

3 0

3 years ago

How to find slope intercept form when slope equals 3 over 4 passing through 8, 2

IgorC [24]

Answer:

The slope intercept form would be y = 3/4x - 4

Step-by-step explanation:

To find the slope intercept form of this line, we start with using our given information in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y - 2 = 3/4(x - 8)

y - 2 = 3/4x - 6

y = 3/4x - 4

8 0

3 years ago

Find the surface area and round to the nearest hundredths place when necessary.

pashok25 [27]

Answer:

First lets find the area of the bottom circle:

7.2 is your radius so:

7.2^2 = 51.84 the reason why you square your radius is because thats apart of the formula when finding the are of a circle.

lets continue:

51.84 x 3.14(pi) = 162.7776

Now we need to find the area of the round surface but first we need to find the circumference of one circle and multiply it by the height.

2 x 3.14 x 7.2 = 45.216

Now lets multiply it by the height:

45.216 x 17 = 768.672

Now lets add both areas:

768.672 + 162.7776 = 931.4496 dont forget to round to the nearest hundredths place! 931.4496 rounded up = 931.45 square meters is your answer.

6 0

3 years ago

What is (3x+2y)^2 ?mmmmmmmmmmmmmmmnnnnnnnmmmmm​

What is (3x+2y)^2 ?mmmmmmmmmmmmmmmnnnnnnnmmmmm