All categories

3 years ago

the area of a rectangle is 85 square feet. the length is 12 feet longer than the width. find the length and width of the wall

1 answer:

3 0

Formula for area of rectangle:
A=L x w
Here A=85 square ft
Length, L=w+12

Put values in formula.
85=(w+12)w
85=w^2+12w
Subtract 85 from both sides
w^2+12w-85=0
Factorise the equation.
(w-5)(w+17)=0
w=5 and w=-17
Ignore the negative value of width.
Width, w= 5 ft and Length, L=12+5=17 ft

Answer: Width=5 ft and Length=17 ft

You might be interested in

What is the answer of 3[4(2³)-5²+7(8+4²)-16]?

Montano1993 [528]

3[4(23)-52+7(8+42)-16]

3 x (4 x 8 - 52 + 7 x (8 + 42) - 16)

3 x (32 - 52 + 7 x (8 + 42) - 16)

3 x (16 – 52 + 7 x (8 + 42))

3 x (16 - 25 + 7 x (8 + 42))

3 x (-9 + 7 x (8 + 42))

3 x (-9 +7 x (8 + 16))

3 x (-9 + 7 x 24)

3 x (-9 + 168)

3 x 159

477

8 0

3 years ago

How do i evaluate it????

Kitty [74]

Answer:

1 for all evaluate questions

Step-by-step explanation:

just remember anything to the zero power is 1

4 0

3 years ago

Write an equation of the line that passes through (2, -5) and is parallel to the line 2y = 3x + 10.

Leto [7]

Answer:

Use the given slope and point to substitute into the point-slope formula y−y1=m(x−x1).

Slope-intercept form:

y=3x²+4x−25

Point-slope form:

y+5=(3x+10)⋅(x−2)

Step-by-step explanation:

8 0

3 years ago

NEED DESPERATELY. PLEASE!!! A BIG REWARD IS AT STAKE. BRAINLIEST WILL BE GIVEN. (Keep out for more problems with rewards from me

Rom4ik [11]

Answer:

My total savings was = $58.33

Step-by-step explanation:

Given:

12% of my savings was = $7.00

To find my total savings.

Solution:

Let the total savings in dollars be = $x$

12% of the total savings will be = $12\%\ of\ x$

12% of my savings was = $7.00

So, we have:

$12\%\ of\ x=7$

$0.12x=7$

Solving for $x$ to get my total savings.

Dividing both sides by 0.12

$\frac{0.12x}{0.12}=\frac{7}{0.12}$

∴ $x=58.33$

Thus, my total savings was = $58.33

7 0

3 years ago

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

3 years ago