Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: 
.
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
Answer:
47.1 cm
Step-by-step explanation:
<u>The formula for finding circumference is πd. So, plug in the given values and simplify the expression:</u>
d = 15
π = 3.14
15 × 3.14 = 47.1
<u>The circumference of a circle with a diameter of 15 cm and using 3.14 as a substitute for π will be </u><u>47.1 cm</u><u>.</u>
Answer:
Option C.
Step-by-step explanation:
By the property of unique triangles (ASA), one side is included between the two angles.
By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.
Therefore, 
is included between ∠A and ∠B.
Option C. will be the answer.
To find the total cost of Mikayla's purchase, we add together the costs of the skirts and tops. The costs of the skirts can be found be multiplying the quantity bought by the cost per skirt. Same goes for the tops.
5x + 3(9)
Simplified:
5x + 27
Answer:
6 is from the beginning. Multiply first, not add
Step-by-step explanation:
