1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
amid [387]
3 years ago
8

The length of a rectangle is 3cm more than the width. The area is 70cm^2. Find the dimensions of the rectangle​

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0
Let width be x
Length would be x + 3
Area = L * W
Make an equation
(x) * (x+3) = 70
x^2 + 3x = 70
x^2 + 3x - 70 = 0
Quadratic formula
(-3 +/- rt 3^2 - 4 * 1 * (-70))/(2 * 1)
x1 = (-3 + 17)/2, x2 = (-3-17)/2
x = 7, x = -10
Dimension cannot be negative

Solution: width = 7
Length = 10
You might be interested in
What is the value of n
Crank

Answer:

The correct answer is option D. 69°

Step-by-step explanation:

Points to remember

1). The sum of angles in a linear pair is 180°

2). In a triangle sum of two angles are equal to the exterior angle of third angle

From the figure we can see a triangle in which two exterior angles area given.

<u>To find the value of n</u>

from figure we get,

n = (interior angle of 131°  + interior angle of 160°)

interior angle of 131° = 180 - 131 = 49°

interior angle of 160° = 180 - 160 = 20°

n =  49° + 20° =  69°

Therefore the  correct answer is option D. 69°

7 0
3 years ago
Read 2 more answers
Hi, Could anyone help me with my homework
tatiyna

Answer:

\hookrightarrow \sf  x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096

solving steps:

\rightarrow \sf (x + 4)^6

\bold{rewrite \ the \ following}

\rightarrow \sf (x + 4)^2   (x + 4)^2   (x + 4)^2

\bold {formula \ used : \sf  (x+a)^2 = (x^2 + 2xa + a^2)}

\rightarrow \sf (x^2 + 8x+16)    (x^2 + 8x+16)    (x^2 + 8x+16)

\bold{simplify \ by  \ removing \ parenthesis}

\rightarrow \sf (x^4 +8x^3 + 16x^2 + 8x^3 +64x^2 + 128x+16x^2+128x+256 ) (x^2 + 8x+16)

\bold{basic \ addition \ of \ integers }

\rightarrow \sf (x^4+16x^3+96x^2+256x+256) (x^2 + 8x+16)

\bold{remove \ parenthesis}

\rightarrow \sf (x^6 + 16x^5 + 96x^4 + 256x^3 + 256x^2 + 8x^6 + 128x^4 + 768x^3 + 2048x^2 + 2048 + 16x^4 + 256x^3 + 1536x^2 + 4096x + 4096)

\bold {final \ answer:}

\rightarrow \sf  x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096

8 0
2 years ago
A bicycle that usually sells for $230 is on sale for 25% off. find the sale price.
Vera_Pavlovna [14]

Answer:

$172.50

Step-by-step explanation:

Simply do 230 x 0.75 which is the percent subtracted by 25 that decreases a value and makes it less

8 0
2 years ago
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
weeeeeb [17]

Answer:

\[y = (-1/2) * x + 6\]

Step-by-step explanation:

Equation of the given line: y=2x+2

Hence the slope of the line is given by 2

Any line which is perpendicular to the given line will have a slope m such that m*2 = -1

Or, \[m = \frac{-1}{2}\]

Only options 2 and 3 satisfy this condition.

The line is also supposed to pass through the point (6,3).

Substituting these values in the option 2:

\[3 = (-1/2) * 6 + 3\]

Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

Now substituting (6,3) in option 3:

\[3 = (-1/2) * 6 + 6\]

Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

5 0
3 years ago
I need an answer quick!!!!
Illusion [34]

Answer:

investment 2 $400 Simple Interest Rate

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The value of 8 In 686,293
    5·2 answers
  • What are so the factors of 35
    13·2 answers
  • Which is bigger: 17.5% or 1/6
    12·2 answers
  • Which graph represents the equation below?
    11·1 answer
  • Please help lol I forgot how to do this
    11·2 answers
  • URGENT! BRAINLIEST ANSWER!!!
    15·1 answer
  • Of 1936 people so came into a blood bank to give blood, 200 people had high blood pressure. Estimate the probability that the ne
    9·1 answer
  • There are 3,600 seats in an arena. Tier 1 has 1,200 seats. Tier 2 has 1,400 seats. Tier 3 has 1,000 seats. What fraction of the
    12·1 answer
  • 1 2/3 of flour wants to make 2 1/2 batches of flour
    13·2 answers
  • (x + 10) (-2x +15)<br><br>cam someone this for me​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!