Answer: -28
Step-by-step explanation:
CPCTC represents<span> is a succinct statement of a theorem regarding </span>congruent trigonometry<span>, defined as triangles either of which is an </span>isometry of the other. <span>CPCTC states that if two or more triangles are congruent, then all of their corresponding angles and sides are congruent as well. CPCTC is useful in proving various theorems about triangles and other polygons.</span>
Answer:
<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
The ratio of boys and girls =3:5
Let
Number of boys=3x
Number of girls =5x
- According to the question Numbers of girls=130
- Now interchange both sides and get x
<h3>Now </h3>
The number of boys=3x
=3×26=78
Number of boys is 78.
Answer:
5 amperes will produce the maximum power
Step-by-step explanation:
The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2 + 120c.
To find out the maximum power we need to find the vertex
formula to find x -coordinate of vertex is 
P(c)= -12c^2 + 120c is given in the form of y=ax^2+bx+c
a= -12, b = 120
c= 5 amperes will produce the maximum power
Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.
I hope this helped.
