Answer:
B
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here the vertex = (- 2, - 3 ) , then
y = a(x - (- 2))² - 3 , that is
y = a(x + 2)² - 3
To find a, substitute any point on the graph into the equation
Using the coordinates of the y- intercept (0, 5 )
5 = a(0 + 2)² - 3 ( add 3 to both sides )
8 = a(2)² = 4a ( divide both sides by 4 )
2 = a
y = 2(x + 2)² - 3 → B
Answer:
$60
Step-by-step explanation:
We need to find how much commission she earns on the 8,000
Since the total is greater than $5,000, we find 7.5% of her sales
7.5% x $8,000 = $60
Thus, our answer is
$60
Answer:
Step-by-step explanation:
A)
Dilation. Since it's only the size of the figure that's changing
B)
Height of the smaller one: 4
Width of the smaller one: 6
Height of the bigger one: 6
Width of the bigger one: 9
6/4 = 1.5
9/6 = 1.5
Since both 6/4 and 9/6 was 1.5, that means that the Width and Height was proportional and that the two trapezoids is at a ratio o:
1 : 1.5
One unit of the smaller one is 1.5 units on the bigger one.
The value of x is 13
<h3>How to determine the value</h3>
From the diagram shown, we have that the line segments as;
NK = NM + ML + LK
Where;
- NK = 23
- NM = x - 6
- ML = 9
- LK = 2x - 19
Substitute the values into the equation
(x - 6) + 9 + 2x - 19 = 23
collect like terms
x + 2x -6 + 9 - 19 = 23
Add like terms
3x - 16 = 23
3x = 23 + 16
3x = 39
Divide both sides by 3
x = 39/ 3
x = 13
Thus, the value of x is 13
Learn more about line segments here:
brainly.com/question/2437195
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Answer:
(-14)9
Step-by-step explanation:
Product means multiplication. Therefore, anything with division is wrong. B is wrong because the value shown is -9, not 9. Therefore, it is D.
