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3 years ago

The dimensions of a rectangle can be given by x+9 and x-2. If the area is 60ft^2, what is the value of X?

Mathematics

1 answer:

Veronika [31]3 years ago

6 0

Answer:

Step-by-step explanation:

(x + 9) * (x - 2) = 60

x^2 - 2x + 9x - 18 = 60

x^2 + 7x - 18 = 60

x^2 + 7x = 78

FACTORING:

x(x + 7) = 78

x = 6

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Find the slope of the line y = 5x + 4.

avanturin [10]

Answer:

x=1/5y+−4/5

Step-by-step explanation:

Let's solve for x.

y=5x+4

Step 1: Flip the equation.

5x+4=y

Step 2: Add -4 to both sides.

5x+4+−4=y+−4/5x=y−4

Step 3: Divide both sides by 5.

5x/5=y−4/5x=1'5y+−4'5

Answer:

x=1/5y+−4/5

( I hope this was helpful) >;D

6 0

2 years ago

What diagram do I use???

lys-0071 [83]

Answer:

A Bar Graph

Step-by-step explanation:

This would be the best choice make the x axis the sports

and the y axis the numbers and make 2 bars for each sport one for girls one for boys

5 0

3 years ago

Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh

svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by $p = 130e^{0.0205t}$ (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 = $p = 130e^{0.0205(29)}$

$p = 130e^{0.5945}$

$p =130(1.81212465608)=235.57620529\approx236$

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

$300 = 130e^{0.0205t}$

$2.3077= e^{0.0205t}$ (Divide both sides by 130)

Taking Natural log on both sides,

$\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}$

$t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41$

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0

3 years ago

20n^4+n^3+10n^2) / 10n^2

Zina [86]

Divide them
We'd get
2n^2+1/10n + 1

3 0

3 years ago

A string is cut into two pieces in the ratio 2 : 7. The difference between the lengths of the two pieces is 90cm. Find the lengt

Nataly_w [17]

Answer:the length of the shorter string= 36cm

Step-by-step explanation:

Let us assume the lengths are 2x and 7x since thery are in the ratio of 2 :7

Such that Length of the shorter string = 2x

and the longer string = 7x so that the difference in Length which is 90cm can be expressed as

7x- 2x= 90

5x= 90

x 90/5

x= 18

shorter string = 2 x = 2x 18= 36cm

Longer strring = 7x 18=126cm

5 0

3 years ago