Answer:
21
Step-by-step explanation:
Because h(3) times h(7) is equal to 21.
Hope it helps!
<u>Given</u>:
The equation of the circle is 
We need to determine the center and radius of the circle.
<u>Center</u>:
The general form of the equation of the circle is 
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation to determine the center.
The given equation can be written as,
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
<u>Radius:</u>
Let us compare the general form of the equation of the circle with the given equation to determine the radius.
Hence, the given equation can be written as,
Comparing the two equation, we get;
Thus, the radius of the circle is 8
Answer:
16 cm²
Step-by-step explanation:
The figure is a trapezoid with two parallel sides.
The formula for the area is
A = ½(a + b)h
Data:
a = 5 cm
b = 3 cm
h = 4 cm
Calculation:
A = ½(5 + 3) × 4 = ½ × 8 × 4 = 16 cm²
The area of the trapezoid is 16 cm².
I would use simultaneous equations to do this.
let the greater number be y and the smaller be z.
so,
y - z = 2452. we call this formula 1.
y = 5z. this is formula 2.
since formula 2 directly already tells you what is y, we don't need to modify it, we can directly sub it into formula 1.
so now we get,
5z - z = 2452.
4z = 2452
z = 613
great, now we have z, just sub z = 613 into formula 2.
y = 5 x 613
y = 3065
now we have both numbers and we just add them together for the sum.
613 + 3065 = 3678
so I think the answer is 3678.
