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aleksley [76]
3 years ago
13

The length of a rectangle is 10 feet more than the width. The area of the rectangle is 96 square feet. Find the dimensions of th

e rectangle. Solve algebraically.
Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0

Answer:

Dimensions of the rectangle = 16 by 6

Step-by-step explanation:

Let the length and breadth represent L and B

Hence L= B+10=------eqn 1

LB = 96 -----eqn2

From eqn1 L=B+10, it's substituted into eqn2

B(B+10)=96

B²+10B-96=0

It's now solved quadratically

B²+16B-6B-96

B(B+16)-6(B+16)=0

(B-6)(B+16)=0

B=6 and -16

Hence B=6 ft since it's the positive value

L= 96/B = 96/6 = 16 ft

Dimensions of the rectangle = 16 by 6

alexandr1967 [171]3 years ago
7 0

Answer: The dimensions of the rectangle are 6ft and 16ft.

Step-by-step explanation:

Let the width of the rectangle be y

Let the length of the rectangle be y+10

Area= 96ft

Since area of a rectangle is length multiplied by width

y(y+10) = 96

y^2 +10y =96

y^2 +10y -96= 0

Solving algebraically,

y^2 +16y - 6y - 96= 0

y(y+16) - 6(y+16)= 0

(y-6)(y+16)= 0

y-6= 0

y =6ft

Recall that the width was denoted as y. That means the width is 6ft.

Since length is y+10= 6+10 = 16ft

Length is 16ft, width is 6ft.

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Answer:

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Step-by-step explanation:

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Which of the sums below can be expressed as 6(3 + 9)? (3 points) 18 + 54 18 + 9 9 + 15 6 + 54
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6*3 = 18

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What is the effect on the graph of the function f(x) = x^2 when f(x) is changed to f(x − 6)
olya-2409 [2.1K]

Answer:

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing f(x) = x^2 and \:f\left(x\right)=\left(x-6\right)^2 is represented as being shifted 6 units to the right as compare to the function f(x) = x^2.

Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.  

For example:

Type of change               Effect on y = f(x)

y = f(x - c)                      horizontal shift: c units to right

So

Considering the function

f(x) = x^2

The graph is shown below. The first figure is representing f(x) = x^2.

Now, considering the function

\:f\left(x\right)=\left(x-6\right)^2

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of \:f\left(x-6\right)=\left(x-6\right)^2 is shown below in second figure. It is clear that the graph of  \:f\left(x-6\right)=\left(x-6\right)^2  is shifted 6 units to the right as compare to the function f(x) = x^2.

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing f(x) = x^2 and \:f\left(x\right)=\left(x-6\right)^2 is represented as being shifted 6 units to the right as compare to the function f(x) = x^2.

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3 years ago
How do you increase 429 Grams by 31%
Papessa [141]
If you want to increase something by 31% then...

100%+31%=131% or 1.31

you multiply it by 131% or 1.31. So for 429 grams...

429*1.31=561.99grams

If you increase 429 by 31%, you get 561.99 grams

Answer=561.99 grams
8 0
3 years ago
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