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Genrish500 [490]
3 years ago
6

the length of a rectangle exceeds its breadth by 4 cm. if the area of the rectangle is 96cm squared . find the length and breadt

h
Mathematics
2 answers:
olchik [2.2K]3 years ago
6 0

Answer:

length=12; breadth=8

Step-by-step explanation:

l=w+4

w(w+4)=96

w²+4w-96=0

(w+12)(w-8)=0

width=8

length=w+4=12

natulia [17]3 years ago
5 0

Answer:

length=12; breadth=8

Step-by-step explanation:

Hope this helped have an amazing day!

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Dennis is cutting construction paper into rectangles for a project he needs to cut one rectangle that is 12 inches times 15 1/4
Nataly_w [17]

Answer:

Dennis need 288.91 square inches of construction paper for his project.

Step-by-step explanation:

Dennis is cutting construction paper into rectangles for a project.

He needs to cut one rectangle that is 12 inches times 15 1/4 inches

First convert the mixed fraction to improper fraction

15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}

So the area of 1st rectangle is

A_1 = 12\times \frac{61}{4} = 183 \: in^{2}

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""

The symbol " means inches

First convert the mixed fraction to improper fraction

10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}

10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}

So the area of 2nd rectangle is

A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}

The total construction paper needed for this project is

A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}

Therefore, Dennis need 288.91 square inches of construction paper for his project.

6 0
4 years ago
Find the slope of a line perpendicular to each given line.<br><br> 7) y = 5/2x - 3
yulyashka [42]

Answer:y= -2/5x-3

Step-by-step explanation:

It's actually pretty simple, all you gotta do is flip the fraction around so if it is 5/2x now is 2/5, and then change the sign, since it was positive now it's negative

4 0
2 years ago
Determine if the expression 9x^-2 is a polynomial or not. If it is a polynomial, state
Andrej [43]

Answer:

9x⁻²  is not a polynomial

Step-by-step explanation:

A polynomial function is a function that involves non-negative integer powers of x such as a quadratic, cubic etc.

A polynomial is a function written in the form of ;

f{x} =aₙxⁿ+aₙ₋₁xⁿ⁻¹+-------+a₂x²+a₁x+a₀

The degree of a polynomial is the highest power of x in the expression

9x⁻² ----in this case, the power is negative thus this is not a polynomial.

5 0
3 years ago
Read 2 more answers
Evaluate each expression when a= - 4 and b= 3 ab
Andrews [41]

Answer:

-12

Step-by-step explanation:

<u>Step 1:  Substitute</u>

ab -> -4 for a and 3 for b

(-4) * (3)

<em>-12</em>

Answer:  -12

6 0
3 years ago
Using the number line below to compare the list of numbers. Place the numbers in increasing order.
Ivanshal [37]

Answer:

-2/5

-1.5

.3

1 4/5

Step-by-step explanation:

The higher the negatice number, the lower it is. Hope this helps:)

4 0
2 years ago
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