Hello there.
To answer this question, we need to remember some properties about the vertex of quadratic functions.
Let . Its vertex can be found on the coordinates such that and , in which .
Using the coefficients given by the question, we get that:
Thus, we have:
So the statement is true, because the coordinate of the vertex of the function is equal to
Step-by-step explanation:
the red point is (4, -5).
so, y - (-5) = -1/7(x - 4)
Topic: coordinate geometry
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A: Distance between the Sycamore cabin to the Oak cabin is 30 yards.
B: If she walks to the Mess Hall first she'll be 20 yards closer to the Elm cabin.
Everything looks good, but I would write LJ = LJ (or JL = JL) for line e just so it's clear you're talking about the same line segment.
Though to be fair, JL is the same as LJ so it really doesn't matter. I guess it will depend on how picky your teacher is.
Also, I almost forgot, but line c should have angle markers so that your teacher knows you are talking about two angles.
Lemma says :
To calculate the Highest Common Factor (HCF) of two positive integers a and b we use Euclid’s division algorithm. HCF is the largest number which exactly divides two or more positive integers. By exactly we mean that on dividing both the integers a and b the remainder is zero.
Given : 135 and 225
Here, 225>135.
So, we will divide greater number by smaller number.
Dividing 225 by 135.
The quotient is 1 and remainder is 90.
225=135×1+90
Divide 135 by 90
The quotient is 1 and remainder is 45.
135=90×1+45
Divide 90 by 45.
The quotient is 2 and remainder is 0.
90=2×45+0
Thus, the HCF is 45.