The answer is c because slope comes first
Answer:
Length = 13 cm
Width = 10 cm
Step-by-step explanation:
We are told that;
- The length of the rectangle is 3 cm more than the width
- Thus taking, the width as x cm
- Then, the length will be (x+3) cm
- The perimeter of the rectangle is 46 cm
We are required to determine the dimensions of the rectangle;
We know that the perimeter of a rectangle is given by the formula;
P = 2(l+w)
In this case;
46 = 2 ( x + x + 3)
Thus;
4x + 6 = 46
Solving for x,
4x = 40
x = 10
This means, the width is 10 cm, while the length is 13 cm
Therefore, the dimensions of the rectangle is length 13 cm and width 10 cm
The value of a will be 0.125. Then the value of a is positive then the parabola will be upward.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
A parabola opening up or down has vertex (0,-4) and passes through (-12,14).
The equation of the parabola is given as
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
(h, k) = (0, -4)
Then the equation of the parabola will be
y = a(x)² - 4
The parabola is passing through (-12, 14). Then the value of a will be
14 = a(-12)² - 4
14 = 144a - 4
144a = 18
a = 1/8
a = 0.125
Then the equation of the parabola will be
y = 0.125x² - 4
If the value of a is positive then the parabola will be upward.
More about the parabola link is given below.
brainly.com/question/8495504
#SPJ1
So,
Finding problems such as "x is 10% of y" and solving them is really easy: simply multiply the number you are given by 10 to get 100% of that number.
3.3 * 10 = 33
The number you are looking for is 33.
Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)