Answer:
15
Step-by-step explanation:
900 light bulbs per hour
60 minutes per hour
X lightbulbs per minute
Divide 900 lightbulbs by 60 minutes
15
The rate is 15 light bulbs per minute
Answer: B) f(x)= 1/5 |x|
Used graphic calculator
Answer:
The statement that is not true is;
c) m∠ABO = m∠ODC
Step-by-step explanation:
With the assumption that the lengths AO, and OD are equal, we have that in ΔABO and ΔOCD, the following sides are corresponding sides;
Segment AO on ΔABO is a corresponding side to segment OD on ΔOCD
Vertices B and C on ΔABO and ΔOCD are corresponding vertices
Therefore;
Segments AB and OB on ΔABO are corresponding sides to segments OC and OD on ΔOCD respectively
Therefore, ∠ABO on ΔABO is the corresponding angle to ∠OCD on ΔOCD
Given that ΔABO ≅ ΔOCD, we have that ∠ABO ≅ ∠OCD
Therefore;
m∠ABO = m∠OCD by definition of congruency
Answer:
4 and 4
Step-by-step explanation:
Method A
1) Method A: Let 2 be the starting point and -2, the finishing one. Counting between 2 and -2, we can count a distance of 4 units. That's the simplest way, but not convenient to great numbers on the Number Line.
Method B:
There is no such thing as a negative distance, as a physical quantity. So this is the reason why we need to compute the absolute value of two numbers, which is simply what was done on Method B.
|2-(-2)|=|4|=4
As we are dealing with absolute values, the order is not relevant after all, the result remains the same. Take a look:
|-2-2|=|-4|=4
That's why the greater (2) or the lesser number (-2) can be the subtrahend (in bold within the brackets.
Answer:
C. (-1.5, 8.875)
Step-by-step explanation:
on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by
p = (nx1 + mx2/ m+n, ny1+my2/m+n)
_______________________________________________
Given point
A (-9, 4) and B (11, 17)
ratio 3:5
m:n = 3:5
m+n = 3+5 = 8
coordinate of point p that partition AB
x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3
x = (-45 + 33) / 8 y = (20 + 51) / 8
x = (-12) / 8 y = (71) / 8
x = -3 / 2 = -1.5 y = 8.875
Thus, coordinate of point p is (-1.5, 8.875).
