Which number is NOT in the solution set of the inequality x < −10?
1 answer:
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Answer:
6 units
Step-by-step explanation:
Remember the formula for the area of a rectangle: A = lw
What we know:
A=48
w = l-2
Substitute A for 48 and w for l-2 into the equation
A = lw
48 = l(l-2) Use the distributive property. Multiply over the brackets.
48 = l² - 2l
Rearrange the equation to standard form (0 = ax² + bx + c) to use quadratic formula.
0 = l² - 2l - 48
a = 1 ; b = -2 ; c = -48 State the variables for the quadratic formula
Substitute a, b and c to find the length:
Simplify
Split the equation at the ± for adding and subtracting. Then decide which answer is correct, or if both of them are possible answers.
This is "inadmissable", or impossible because the length can't be a negative value.
Length of the rectangle
Use the formula for the area of a rectangle
Substitute the length and area, then isolate "w" for the width
A = lw
48 = (8)w
48/8 = w
w = 6
Therefore the length of the rectangle is 6 units.
The equation represents a circle centered at (3,5) and passing through the point (-2,9) will be,
What exactly is a circle?
It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Given data;
The Centre of the circle is,(h,k)=(3,5)
The circle traverses (-2,9). Consequently, the radius of the circle r is equal to the separation between (3, 4) and (-2,1).
So radius;
Now equation of the circle with center (h,k) and radius r is
Hence equation represents a circle that will be,
To learn more about the circle, refer to the link: brainly.com/question/11833983.
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