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3 years ago

9

at the beginning of school, we had 40 algebra books. We increased our supply by 65%. how many algebra books does the school have

now?

1 answer:

valentina_108 [34]3 years ago

6 0

The answer is 95 i guess

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Factor the expression completely over the complex numbers.<br><br> y^4+12y^2+36

Brums [2.3K]

Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.

7 0

3 years ago

Read 2 more answers

Kite WXYZ is graphed on a coordinate plane. What is the area of the kite?

Misha Larkins [42]

Answer:

14 square units

Step-by-step explanation:

There are several ways we can find the area. Probably the easiest is to cut the kite in half vertically and find the area of each triangle. The area of the kite will be double that.

The height of the kite is 7 units, and the width is 4 units. So each triangle will have a base of 7 and height of 2.

A = 1/2 bh

A = 1/2 (7) (2)

A = 7

The area of the kite is double that, so:

2A = 14

3 0

3 years ago

Read 2 more answers

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

4 years ago

A man in a tower spots three hot air balloons flying at the same altitude. Balloon

anyanavicka [17]

Answer:

90/4= 12.9

1*3/4= 0.75

Step-by-step explanation:

8 0

3 years ago

Teaser has 38 point she divides the coins equally among her self and her three brothers how many coins does each person get are

Serhud [2]

Answer:

Each person including Teaser will get 9.5 coins.

Step-by-step explanation:

Teaser has 38 points

There is

-Brother 1

-Brother 2

-Brother 3

-Teaser

38 divided by 4

= 9.5

Therefor each will get 9 1/2 coins.

Please leave a good rating if this helped :)

-Adam

7 0

4 years ago