A basketball player averages 13.5 points per game. Use this rate to find the value of x, the number of points scored in 7 games.
2 answers:
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Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
<u>Given the following data;</u>
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
<em>We know that, the area of rectangle, A = length * width</em>
<em>Substituting the values into the equation, we have;</em>
<em>Expanding the bracket, we have;</em>
*Solving the quadratic equation by using factorization method*
Width, w = 5 feet or w = -16 feet.
<em>Therefore, the width of the concrete pad is 5 feet or -16 feet.</em>
<em>To find its length, l;</em>
When w = 5 feet
Length, l = 16 feet
When w = - 16 feet
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
To solve this, we would need to figure out the values of for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.
If we rearrange this equation a little bit, we get,
So <em>cannot </em>be negative. So,
For this to <em>have </em>a solution, k needs to be greater than or equal to .
For <em>no solution</em>, k is less than -5. So, values of k which will make the equation to <em>not </em>have any solution is .
ANSWER:
Answer:
Step-by-step explanation:
The given triangle is a right angle triangle .
The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.
The value of y can be calculated using the tangent ratio.
We solve for y to get,
We evaluate to obtain,
to the nearest degree