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Mrac [35]
3 years ago
15

A garden has an area of 9 square meters. Each square is 1 square meter. What is the length of one side of this garden?

Mathematics
1 answer:
Llana [10]3 years ago
4 0
The answer is 3, if it is in square meters it must be a square therefore each side is the same length
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What is the value of k that makes each equation true. For example, 5(ky-6)=15y-30
motikmotik

Answer:

k = 3

Step-by-step explanation:

5(ky-6)=15y-30

Factor out a 5 from the right side

5(ky-6)=5(3y-6)

Divide each side by 5

ky -6 = 3y -6

Add 6 to each side

ky = 3y

divide by y

k = 3

4 0
2 years ago
Convert 123 cm to dam
kondaur [170]
123 centimeters into dekameters
0.123
10 centimeters = 1 decimeter
100 decimeters = 1 dekameter
Therefore, 100 centimeters = 10 decimeters = 0.1
23 centimeters = 2.3 decimeters = 0.023
0.1 + 0.023 = 0.123 dam
8 0
3 years ago
Logan and his friend went out to dinner and spent $18.50.They left a tip of $2.59.
maria [59]
To find this out, use a percent proportion, use cross products, and solve the equation.

\frac{2.59}{18.50}= \frac{p}{100} \\ 18.50p=259 \\  \frac{18.50p}{18.50}= \frac{259}{18.50} \\ p=14

So, the percent tip is 14%.
7 0
3 years ago
Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

18+3m+3n=0

3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

7 0
3 years ago
Let f(x)=x^2+5x-8. What is the average rate of change from x = 2 to x = 6? Enter the answer in the box ___
koban [17]

Answer:

13

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [2, 6 ]

f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58

f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6

Hence

average rate of change = \frac{58-6}{6-2} = \frac{52}{4} = 13

5 0
3 years ago
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