Answer:
Kathy = J - 5 cm
Step-by-step explanation:
Jo = 5 + Kathy
Jo = J
Kathy = K
=> J = 5 + K
=> J - 5 = 5 - 5 + K
=> J - 5 = K
=> K = J - 5
So, Kathy's height is J - 5 cm
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola will lie at (-3,2).
<h3>What is the Equation of a parabola?</h3>
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in the form (x, y);
a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.
Comparing the given equation with the equation of a parabola, we will get,
y = a(x -h)² + k
y = -4(x+3)² + 2
Hence, the vertex of the parabola will lie at (-3,2).
Learn more about Parabola:
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Answer:
<u>The correct answer is B. x ≈ 4.5, y = 5, z = 9</u>
Step-by-step explanation:
1. We will use the Pythagorean theorem for solving for x, this way:
x² = 6² - 4²
x² = 36 - 16
x² = 20
x = √20
x = 2 √5 = 4.47 ≈ 4.5
2. For solving for y, we will do it this way:
There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.
If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.
<u>Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9</u>
Answer:
49 different ways
Step-by-step explanation:
If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.
Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.
So, if you have seven ways to go up and seven ways to go down, the number of different ways of going to the top and coming back is the product of these numbers of possible choices.
N(total) = N(up) * N(down)
N(total) = 7 * 7
N(total) = 49 different ways
Brainliest pls and tysm!
To find an area of a rectangle, we use this method: A = lw (length x width)
We need to replace a(rea) with 48.
48 = lw.
The following expressions can be used:
1 x 48.
2 x 24.
3 x 16.
4 x 12.
6 x 8.
8 x 6.
12 x 4.
16 x 3.
24 x 2.
48 x 1.
