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
Vladimir79 [104]
3 years ago
12

The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr

atic equation in standard form for the equation that would represent the area of the rectangle. Let x equal the length of the rectangle.
Mathematics
2 answers:
Luden [163]3 years ago
8 0
It would be (x)(x+7)=170
If you want it solved, then you would get:
x^{2} +7x-170=0
(x+17)(x-10)=0
And since you can't have a negative length (-17), x=10
So your side lengths would be 10 and 17 (10+7), which would give you an area of 170.
Hope that helps.
igomit [66]3 years ago
5 0

Answer:

Step-by-step explanation:

Let the length of the rectangle be=x, then the width of he rectangle will be=7+x.

Also, we are given that the area of the rectangle is equal to=170 square meters, therefore

Area of rectangle=Length×Width

⇒170=x(x+7)

On solving the above equation, we get

⇒170=7x+x^2

⇒x^2+7x-170=0

which is the required quadratic equation.

⇒x^2+17x-10x-170=0

⇒⇒x(x+17)-10(x+17)=0

⇒(x+17)(x-10)=0

Since, he length of the rectangle cannot be negative, therefore the length of the rectangle=x=10 m

And, the width is=x+7=10+7=17meters.

You might be interested in
This question is from the tangent ratio section in our chapter and im not sure how to solve for this
VladimirAG [237]
The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60

Now let's calculate z:
 tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
6 0
3 years ago
What is 11/12 minus 3/8
Mrac [35]

Answer: \frac{13}{24}

Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

2. Next, we will choose the smallest common multiple. That would be 24.

3. Now, we will work this out.

11/12 = 22/24

3/8 = 9/24

4. Subtract.

22/24 - 9/24

= 13/24

= \frac{13}{24}

I found the denomenators by multiplying.

Hope this answer helped!

8 0
3 years ago
What is the true solution to the logarithmic equation below?
Oliga [24]

Answer:

  • x = 2

Step-by-step explanation:

<u>Given:</u>

  • log ₄ (2x) = 1

<u>Solving for x:</u>

  • 2x = 4¹
  • 2x = 4
  • x = 2
3 0
3 years ago
8x=12+12Find the value of x​.​
djverab [1.8K]

Answer:

\sf\longmapsto \: x = 3

Step-by-step explanation:

\sf\longmapsto \: 8x = 24

\sf\longmapsto \: x =  \frac{24}{8}

\sf\longmapsto \: x = 3

5 0
2 years ago
Read 2 more answers
11 8/7 ​ +3 5/1 ​ − ? = 15 PLZ I NEED IT FASTER THAN FAST
lukranit [14]

Answer:

5 1/7 or 36/7

Step-by-step explanation:

11 8/7+3 5/1-x=15

12 1/7+8-x=15

12 1/7+8-15=x

20 1/7-15=x

5 1/7=x

8 0
3 years ago
Other questions:
  • What is the ratio of 3 and 8
    7·1 answer
  • Explain why i got it wrong? How to get the right answer?
    14·2 answers
  • Solve the equation.<br> x² =96<br><br> A 4/6<br><br> B 16/6<br><br> C 9<br><br> D 9,-9
    11·1 answer
  • The sum of 5 and 2x whats the algebraic expression for the problem above?
    14·1 answer
  • Consider: f(x) = 1/2(3)^x and g(x) = -1/2(3)^-x
    11·1 answer
  • 8) How many terms of the arithmetic sequence (2, 4, 6, 8, ...} will give a sum of 600?
    13·1 answer
  • Can someone help me please
    14·1 answer
  • Last January, the average cost of a one-night stay at a hotel was $132.52. Since then, the hotel has changed ownership, and
    9·1 answer
  • Converting from vertex to standard form <br><br>plzz help ;( ​
    8·1 answer
  • What is the less common multiple of 4 and 8
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!