A rectangle is 6 feet long and 4 feet wide. If each dimension is increased by the same number of feet, a new rectangle is formed whose area is 39 square feet more than the area of the original rectangle. By how many feet was each dimension increased?​

Answers

Answer 1

Answer:

Each dimension increased by 3 ft.

Step-by-step explanation:

Area of the original rectangle = 4 * 6 = 24 square feet

Increased dimension = x ft

New length = 6 + x

New width = 4 +x

New area = (6 + x)(4 +x)    {Use FOIL method}

                = 6*4 + 6*x + x*4 + x*x

                = 24 + 6x + 4x + x²

                = x² + 10x + 24

New area = 24 + 39

x² + 10x + 24 = 63

x² +10x + 24 - 63 = 0

x² + 10x  - 39 = 0

x² + 13x - 3x  - 3*13 = 0

x (x + 13) - 3(x + 13) = 0

(x + 13)(x -3) = 0   {Ignore x + 13, as it gives negative value}

x - 3 = 0

x = 3


Related Questions

Ill give brainliest to the person who gets it right!!!!!!!

Answers

I think it’s a if not a then maybe b
It would be A. Because the line should point through 70-90 and the 70 should have a black line so the correct answer would be A. :)

PLEASE HELPPP
Estimate the solution to the system of equations

Answers

Answer:

It's A

Step-by-step explanation:

just substitute the values

Fill in the missing numbers
I need an answer ASAP

Answers

Answer:

the missing numbers be 60 and 6 respectively

Step-by-step explanation:

The computation of the missing numbers are shown below:

Let us assume the missing numbers be x

a/

, [tex]\frac{1}{2} \times 30 = \frac{1}{4} \times x\\\\15 = \frac{1}{4} \times x\\\\x = 60[/tex]

b.

[tex]\frac{1}{3} \times 12 = \frac{2}{3} \times x\\\\4 = \frac{2}{3} \times x\\\\x = 6[/tex]

Hence, the missing numbers be 60 and 6 respectively

. If we subtract 4a–7ab+3b+12 from 12a–9ab+5b–3,then the answer is:

Answers

8a-2ab+2b-15 is the answer

Step-by-step explanation:

Answer:

8a-16ab+2b-15, i think

Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

Answers

Answer:

frrffrwfr

Step-by-step explanation:

Help plz will give brainliest

Answers

5 x 3 = 15

Your answer: 15

Answer: 15 out of the 18 blocks are shaded

Denise poured milk into a glass shaped like a right circular cylinder with a radius of 2 inches. When she added chocolate syrup to the milk, the height of the liquid in the glass increased by 2 inch. What was the volume of the chocolate syrup that Denise added to the glass of milk?

Answers

Answer:

go to quizlet https://quizlet.com/141193969/mirrors-and-lenses-flash-cards/

Step-by-step explanation:

Answer:

V = π r^2 h

Step-by-step explanation:

The distance between point Q and point P is 6!
! units. Which number could represent point
Q

Answers

Answer:

zero

Step-by-step explanation:

Zero or 0 good luck <3

Please help me

(3x^7-5x^5+10x^3-4x^2+1) divided by (x^2-18) is

Answers

Answer: (3x^7-5x^5+10x^3-4x^2+1)÷(x^2-18)= 5x^1÷-9

what is the volume of a sphere with a diameter of 6.3 rounded to the nearest tenth

Answers

The answer is 4.................

Answer:

Volume of sphere = 130.9cm³

Step-by-step explanation:

Formula :

[tex] \frac{4}{3} \times \pi \: \times r^{3} [/tex]

We need the radius. 6.3 ÷2=3.15

[tex] \frac{4}{3} \times \pi \times 3.15 ^{3} [/tex]

=130.924303cm³

rounded to the nearest tenth

=130.9cm³

A store manager earns
$
24.00
per hour. If the manager works
8
hours one day and donates
1
10
of the day’s earnings to charity, how much of the earnings are left?


Answers

Answer:

165.6=x

Step-by-step explanation:

(24.00*8)0.90=x

184.00*0.90=x

165.6=x

2.7. 8=24.

24/8= 3

3/10= 0.3

3 -0.3 =$2.7

I WILL GIVE BRAINLIEST!

Answers

Answer:

Slope = -1/2

Y-Intercept = 2

Equation: Y=-1/2x+2

Step-by-step explanation:

Graph goes 2 units up at y=2, that's your y-intercept. From there, plot your second point by moving 1 down and 2 to the right from the y-intercept, landing on the point (2,1) to get your slope, written as -1/2.

Help me on this problem plzz

Answers

Answer:

gggggggg

Step-by-step explanation:

-5 x 7 + 9 x 5/5
What is the answer

Answers

-26..................

Scroll down for answer.

-5 x 7 = -35

9 x 5/5 = 9

-35+9= -26

-5 x 7 + 9 x 5/5 = -26

--

I hope this helped!

Please help with this question:
Tell whether a triangle can have the sides with the given lengths 12, 13, and 24

Answers

Answer:

yes

Step-by-step explanation:

as long as the two shortest sides add up to more than the longest side then a triangle can be made with those side lengths

WILL GIVE BRAINLIEST! Form quadratic functions given the following information: f(x)>0 if and only if 1

Answers

Answer:

Step-by-step explanation:

sin (330)

-4 cot

(-45)

csc (60)

Answer:

f(x) = -2(x-3)^2+8

Step-by-step explanation:

Using vertex form: f(x)= a(x-h)^2 +k

if the maximum is 8 then k=8

h = 3 --> the midpoint of 1 and 5

Fill in the equation:

f(x) = a(x-3)^2 +8

Using f(1) = 0 to figure out a:

0 = a(1-3)^2+8

4a =-8

a = -2

Our final equation would be[tex]f(x)=-2(x-3)^2+8[/tex]

In standard form:  [tex]f(x)=-2x+12x-10[/tex]

if candy bars are 6 for $2.58 , how much is one candy bar?

Answers

Answer:

divide it to get your answer

Step-by-step explanation:

Answer:

0.43

Step-by-step explanation:

First, divide $2.58 by 6. It looks like this $2.58/3.

Then you end up with 0.43 cents.

Good Luck!

I can’t tell if this is good or bad ;-; I did just skip some of the questions tho ngl...

Answers

Answer:

OoP

Step-by-step explanation:

-7+n/5=-11
Solve it down here

Answers

Answer:

n = -20

Step-by-step explanation:

-7 + [tex]\frac{n}{5}[/tex] = -11

*multiply both sides by 5*

-35 + n = -55

*add 35 to each side*

n = -55 + 35

*calculate the sum*

n = -20

How many teaspoons are in 400 milliliters? 1tsp=5ml

Answers

Answer:

80 tea spoons

Step-by-step explanation:

400÷5=80

hope it helps

[tex] \frac{1}{5} \frac{x}{400} [/tex]

1x400/5=80/400

Please help.
Algebra.

Answers

Answer:  m= -1/2

Step-by-step explanation:

Hope the gif loads to help you but if not thats the answer.

When does the arrow hit the ground?

From what height is the arrow shot?

Answers

Answer:

The arrow hits the ground after 2.25 seconds

the height the arrow is shot from is (0,18) or 18 units up

Step-by-step explanation:

If m∠12 = 123° and m∠6 = 76°, find each measure.

Answers

Answer:

m1 = 76

m2 = 47

m3 = 57

m4 = 57

m5 = 47

m6 = 76

m7 = 123

m8 = 57

m9 = 76

m10 = 104

m11 = 57

m12 = 123

m13 = 104

m14 = 76

123=16• that’s the answer of the ques

What is 70/x = 15/21?

Answers

Answer:

98

Step-by-step explanation:

cross multiply

70×21÷15

1470/15=98

factorise fully 18x-9

Answers

Answer:

9(2x-1)

Step-by-step explanation:

common factor of both 9 and 18 is 9

thus, you can take a 9 out

9(2x-1)

(to check if it is correct, you can expand it, and if it is the same as original then it is correct )

Answer:

9 (2x-1)

Step-by-step explanation:

Grouping

1. Common factor:

18x-9

Solution:

9 (2x-1)

PLEASE HELP ME OMG I WILL LOVE U FOREVER

Answers

Answer:

Extreme points of [tex](3-x)^{2}[/tex]  (6-x) : Minimum (3,0), Maximum (5, 4)

I hope that helps hshshs :)

A cyclist is riding a bicycle whose wheels have a diameter of 76 centimeters . Suppose she is traveling at 33 kilometers per hour . ( A useful fact : 1 km = 1000 m . ) ( a ) Find the angular speed of the wheels in radians per minute . ( b ) Find the number of revolutions the wheels make per minute . Do not round any intermediate computations , and round your answer to the nearest whole number .

Answers

Answer:

109

Step-by-step explanat  

i help you

What is the area of this parallelogram?

A. 28 m²

B. 56 m²

C. 84 m²

D. 120 m²



PLS HELP I'LL GIVE BRAINLYIST

Answers

Answer:

84m^2 or C

Step-by-step explanation:

area = base * height

= 12 * 7 = 84

Answer:

8 + 4 = 12 x 7 = 84m

The 6th term of (x^3− 1) ^8

Answers

Answer:

=x24−8x21+28x18−56x15+70x12−56x9+28x6−8x3+1

Step-by-step explanation:

=(x3−1)8

=(x3−1)*(x3−1)*(x3−1)*(x3−1)*(x3−1)*(x3−1)*(x3−1)*(x3−1)

=x24−8x21+28x18−56x15+70x12−56x9+28x6−8x3+1

Assessment started: undefined.
Item 1
Which situation does this equation model?

12 × 6 = n


Maria completed 12 cartwheels. This is 6 more cartwheels than James completed. James completed n cartwheels.

Sarah's dog weighs 12 pounds. Jordan's dog weighs 6 times as much as Sarah's dog. Jordan's dog weighs n pounds.

Jada swam 12 laps in the pool. This is 6 times as many laps as Juan swam. Juan swam n laps.

Kiki collected 12 seashells on the beach. Min collected 6 more seashells than Kiki collected. Min collected n seashells.

Answers

The 3rd One. 12(jadas laps)*6(Juans laps). =n(72)
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