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dmitriy555 [2]
2 years ago
5

Need help on this I don't get it

Mathematics
1 answer:
Nataly [62]2 years ago
4 0

Step-by-step explanation:

It is not a solution because the point falls outside the shaded region, if you were to plugin the point it would return a false statement

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
Hi how are you doing today
soldi70 [24.7K]

Answer:

Fine,I guess :)...btw haii

7 0
3 years ago
Read 2 more answers
The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?
miskamm [114]

Answer:

<h3>2√3</h3>

Step-by-step explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

r is the radius of the circle

Given the equation (x - 7)^2 + (y + 13)^2 = 12

On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

7 0
3 years ago
PLS HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG
Schach [20]
Answer: B
Explanation: it says if it moved 3 points to the left 7-3=4
3 0
3 years ago
35 is equal to 70% of a number n . Write and solve an equation to find n . Write the percent as a decimal.
kow [346]
35=.7 x n
35/.7 = 50
n=50
3 0
3 years ago
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