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mart [117]
3 years ago
7

The length of a rectangle is 7 centimeters greater than the width. If 4 centimeters are added to both the length and the width,

the new area would be 98 square centimeters. Find the dimensions of the ORIGINAL rectangle, list the SMALLER dimension first.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

  3 cm by 10 cm

Step-by-step explanation:

Assuming the new dimensions are integers, we can look at the factors of 98 to see what they might be.

  98 = 1·98 = 2·49 = 7·14

The latter two factors differ by 7, so are the dimensions after 4 is added. The original dimensions are ...

  7 - 4 = 3 . . . . cm

  14 -4 = 10 . . . . cm

The dimensions of the original rectangle are 3 cm by 10 cm.

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Simplify the following polynomial
Amiraneli [1.4K]

Answer:

-3x^4 - 13x^3 + 14x - 7

Step-by-step explanation:

(5x^4 – 9x^3 + 7x – 1) + (-8x^4 + 4x^2 – 3x + 2) - (-4x^3 + 5x - 1)(2x – 7)

simplify multiplied terms

(-4x^3 + 5x - 1)(2x – 7)

(-4x^3+10x-8)

group like terms together

(5x^4-8x^4) + (-9x^3-4x^3) + (7x-3x+10x) + (-1+2-8)

simplify grouped terms

-3x^4 - 13x^3 + 14x - 7

3 0
3 years ago
LESSON 10: ROAD TRIP Your car can travel 21.2 miles on one gallon of gasoline. Gas costs $2.40 per gallon. 1. How much will it c
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5 0
2 years ago
Solve for a side triangles please help it’s urgent please answer
rodikova [14]

Answer:

AC ≈ 2.87

Step-by-step explanation:

Using the sine ratio in the right triangle

sin35° = \frac{opposite}{hypotenuse} = \frac{AC}{AB} = \frac{AC}{5}

Multiply both sides by 5

5 × sin35° = AC , thus

AC ≈ 2.87 ( to the nearest hundredth )

7 0
2 years ago
How do you solve and simplify
DedPeter [7]
F(x) = 1/(x+2)   & g(x) = x/(x-3)


(f(x) + g(x) = 1/(x+2) + x/(x-3). Reduce to same denominator:

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7 0
2 years ago
I need to know what the answer to that question is and I need to know how to do it
mel-nik [20]

Answer:

\frac{59}{8}  or 7\frac{3}{8}

Step-by-step explanation:

\frac{80}{4}  - 12\frac{5}{8}

First you need to make the 12 5/8 into an improper fraction by multiplying 12 by 8 and then adding the total by 5.

12\frac{5}{8} -> \frac{101}{8}

Now you have \frac{80}{4} - \frac{101}{8} so you need a common denominator by multiplying the first fraction by 2

\frac{80}{4} -> \frac{160}{8}

Then you subtract 160 - 101 which equals 59.

\frac{59}{8}  or 7\frac{3}{8}

5 0
3 years ago
Read 2 more answers
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