We want to see which could be the possible score of Kath for the given information. We will find the inequality:
K ≤ 33
<h3>
Stating what we know:</h3>
The given information is:
- The sum of the scores is not greater than 55 points
- Ella's score is 22 points.
<h3>Writing the inequality:</h3>
First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:
K + 22 ≤ 55
This means that the sum of the points is smaller than or equal to 55.
Now we just need to solve this for K, to do this, we subtract 22 in both sides:
K ≤ 55 - 22
K ≤ 33
From this, we can conclude that Kath has at most 33 points.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
Answer:
(x - 2)(5x + 3) = 0
Step-by-step explanation:
5x² - 7x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 6 = - 30 and sum = - 7
The factors are - 10 and + 3
Use these factors to split the x- term
5x² - 10x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x - 3) = 0 ← in factored form
Answer:
Step-by-step explanation:
A. Directrix: y = 4-6 = -2
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B. Axis of symmetry: x = 6
Axis of symmetry intersects directrix at (6,-2)
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C . Vertex is halfway between focus and directrix, at (6,1)
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D. The focus lies above the directrix, so the parabola opens upwards.
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E. Focal length p = 1/(4×0.5)
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F. p = 0.5
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G. y = 0.5(x-6)² + 1
Answer:
4.5 u
Step-by-step explanation:
There are many ways to do it, the most easier is this:
Area=(b*h)/2
Area of ABD = (3*3)/2 = 4.5 u
