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4 years ago

The length of a rectangle is 4 cm longer than its width. find its width given its area is 24cm2.

Mathematics

1 answer:

gladu [14]4 years ago

7 0

L= 4+w
l * w = 24
(4+w) * w =24
4w+w^2-24 = 0
(1) w=3.29
(2) w=-7.29 (reject)
=> The width is 3.29

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For breakfast, Sarah can choose eggs, granola, or oatmeal as a main course, and orange juice or milk for a drink. How many possi

vladimir1956 [14]

Answer:

6 outcomes

Step-by-step explanation:

3 (main courses) x 2 (drinks) = 6 outcomes

eggs - orange juice

granola - orange juice

oatmeal - orange juice

eggs - milk

granola - milk

oatmeal - milk

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4 years ago

Whats the midpoint between -1,2 and -3,-4

iris [78.8K]

Answer:

md(-2,-1)

Step-by-step explanation:

Md=(x1+x2/2,y1+y2/2)

or,Md=(-1-3/2,2-4/2)

or,Md=(-4/2,-2/2)

•°•Md=(-2,-1)

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3 years ago

A number is increased 20%.By what percent the new number is decreased so that the number restores the original value?

Molodets [167]

Answer:

You have to give the number by which the 20% is increased in order to cross multiply and divide by a hundred to find the missing % of the decrease. Otherwise, you would simply subtract 20% from 100%, which seems unlikely to be the answer. We need more information.

Step-by-step explanation:

4 0

3 years ago

Let f(x) = x^2 + 6x.

rusak2 [61]

Answer:

(A) The slope of secant line is 18.

(B) The slope of secant line is h+16.

Step-by-step explanation:

(A)

The given function is

$f(x)=x^2+6x$

At x=3,

$f(3)=(3)^2+6(3)=27$

At x=9,

$f(9)=(9)^2+6(9)=135$

The secant line joining (3,27) and (9,135). So, the slope of secant line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{135-27}{9-3}=18$

The slope of secant line is 18.

(B)

The given function is

$f(x)=x^2+6x$

At x=5,

$f(5)=(5)^2+6(5)=55$

At x=5+h,

$f(5+h)=(5+h)^2+6(5+h)=h^2 + 16 h + 55$

The secant line joining (5,55) and $(5+h,h^2 + 16 h + 55)$ . So, the slope of secant line is

$m=\dfrac{h^2 + 16 h + 55-55}{5+h-5}$

$m=\dfrac{h^2 + 16 h }{h}$

$m=h+16$

The slope of secant line is h+16.

4 0

4 years ago

The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler

Elis [28]

Answer:

Hayes family: 35 hours
Rodrigues family: 40 hours

Step-by-step explanation:

Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.

15x +30y = 1725 . . . . . total liters of use

x + y = 75 . . . . . . . . . total hours of use

The second equation lets us write an expression for y:

y = 75 -x

This can be substituted into the first equation to give ...

15x +30(75 -x) = 1725

-15x + 2250 = 1725 . . . . . . simplify

-15x = -525 . . . . . . . . . . . subtract 2250

x = 35 . . . . . . . . . . . . . . divide by -15

y = 75 -35 = 40

The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.

3 0

3 years ago