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Mariana [72]
3 years ago
8

The length of a rectangle is one unit more than the width. if the area is 30 square units find the dimensions of the rectanhgle

Mathematics
1 answer:
solmaris [256]3 years ago
6 0
Width = w

Length = w + 1

Area = 30

w(w+1) = 30

w² + w = 30

w² + w - 30 = 0

w² + 6w - 5w - 30 = 0

w(w + 6) -5(w + 6) = 0 

(w + 6)(w - 5) = 0

w = 5 or -6

Since the width cannot be negative, the width is 5 units.

Hence, the width is 5 units and the length is 6 units. 
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The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches find the
marissa [1.9K]

Answer:

The shortest side of the triangle is 3 inches.

Step-by-step explanation:

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

<em>Let the one side be \frac{1}{6}x</em>

<em>And the second side be  \frac{1}{3}x.</em>

<em>And the third side be  \frac{1}{4}x.</em>

According to question:

\frac{1}{6}x+\frac{1}{3}x+\frac{1}{4}x=13.5

⇒\frac{x}{6}+\frac{x}{3}+\frac{x}{4}=13.5

Adding all the variables by taking common denominator we get:

⇒\frac{9x}{12}=13.5

<em>Multiplying both sides by 12 we get</em>:

⇒9x=162

<em>Dividing both sides by 9 we get</em>:

⇒x=18

Thus, <em>the sides of the triangle are</em>:

<u>1/6×18=3 inches.</u>

<u>1/3×18=6 inches.</u>

<u>1/4×18=9/2=4.5 inches</u>.

Therefore, the shortest side of the triangle is 3 inches.

4 0
3 years ago
10 points What is the slope of the function y 4x - 6 Type your answer​
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Answer:

4

Step-by-step explanation:

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3 years ago
Whats the slope when the independent variable increase while the dependent variable increases?
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-12 + 6x = 6 + 5(x - 2) <br><br> Please help and EXPLAIN
icang [17]

Answer: x=8

Step-by-step explanation:

Distribute 5(x) and 5(-2)

-12 + 6x = 6 + 5x + (-10) OR 5x - 10

Flip if you'd like

6x - 12 = 6 + 5x - 10

Combine like terms

6x−12=(5x)+(6+−10)

6x - 12 = 5x - 4

Subtract 5x from both 6 and 5

6x - 5x = 5x - 5x

5x cancels out, so you're left with x, 12, and -4

x - 12 = -4

Add 12 to 12 and -4

12 + 12 = -4 + 12

12 cancels out

-4 + 12 = 8

x = 8

7 0
1 year ago
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