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Oksi-84 [34.3K]
3 years ago
6

Complete the square for 5x^2+10x-16.

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0
Answer = 5(x+1)^2 -21

5 {x^2 + 2x } - 16

5 {(x+1)^2 -1 } - 16
5(x+1)^2 -5 - 16

5(x+1)^2 -21
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Sally has 10 pounds she wants to buy 28 cans of soda which cost 28p each does she have enough money
Vladimir79 [104]

Answer:

Yes, Sally has enough money to buy 28 cans of soda.

Step-by-step explanation:

Yes, because £10 = 1000p

1000p / 28p = 35 cans

35 cans < 28 cans

So Sally has enough money for 28 cans.

4 0
1 year ago
Write a division problem that has a 3-digit dividend and a divisor between 10 and 20. Show how to solve it by drawing a quick pi
stich3 [128]

Answer:

In the division problem,

The number which is divided is called dividend,

While, the number which divides, is called divisor,

Let dividend = 150 ( a three digit number ),

Divisor = 15 ( a number between 10 and 12 ),

So, the problem would be,

150\div 15

In the below figure,

Take a grid that shows 150,

Divide this grid such that each box represents 15,

Thus, there are such 10 boxes,

That is,

150\div 15 = 10

7 0
2 years ago
Read 2 more answers
The radius of the large sphere is double the radius of the small sphere. How many times is the volume of the large sphere than t
kobusy [5.1K]

The volume of a sphere is \cfrac{4}{3}\ \pi r^3

So, if the small sphere has radius r and the largest sphere has radius 2r, their volumes are

V_1 = \cfrac{4}{3}\ \pi r^3,\quad V_2 = \cfrac{4}{3}\ \pi (2r)^3 = \cfrac{4}{3}\ \pi 8r^3

So, their ratio is

\cfrac{V_2}{V_1} = \cfrac{\frac{4}{3}\ \pi 8r^3}{\frac{4}{3}\ \pi r^3} = 8

7 0
3 years ago
Read 2 more answers
Complete this division sentence. 9988 ÷ 23 =
klasskru [66]

Answer:

exact form: 9988/23

decimal form: 434.26

mixed number form: 434 6/23

Step-by-step explanation:

3 0
2 years ago
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Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
OlgaM077 [116]

Step-by-step explanation:

step 1. a circle with r = 2 has area of (pi)r^2 = (pi)(4) = 4pi

step 2. a circle with r = 3 has area of (pi)r^2 = (pi)(9) = 9pi

step 3. the area, A, of a circle is half the sum of the area of the circles with r = 2 and r = 3

step 4. A = (4pi + 9pi)/2 = 13pi/2 = 6.5(pi).

step 5. the answer is not 6.5 but is 6.5(pi) or 6.5 times pi.

8 0
2 years ago
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