Answer:
8.2
Step-by-step explanation:
-7.2 to -7.2 is 0
-9.3 to -1.1 is 8.2
Pythagorean theorem is a^2+b^2=c^2
0^2=0
8.2^2=67.24
0+67.24=0
√67.24=8.2
The distance between the to points is 8.2
Answer:
Step-by-step explanation:
Let the age be xy or 10x + y.
Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:
- (10y + x)/3 + 20 = 10x + y
- (10y + x)/3 = 10x + y - 20
- 10y + x = 3(10x + y - 20)
- 10y + x = 30x + 3y - 60
- 30x - x + 3y - 10y = 60
- 29x - 7y = 60
We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.
Possible options for x are:
- 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,
and
- 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.
So x can be 3 or 4.
<h3>If x = 3</h3>
- 29*3 - 7y = 60
- 87 - 7y = 60
- 7y = 27
- y = 27/7, discarded as fraction.
<h3>If x = 4</h3>
- 29*4 - 7y = 60
- 116 - 7y = 60
- 7y = 56
- y = 8
So the age is 48.
Answer:
84 months
Step-by-step explanation:
Maria is 7 years old, there are 12 months in a year, multiply 12 by 7.
12 * 7 = 84
Maria is 84 months old
Let us find the slopes of the two lines
ax+by=c, slope m1 = -a/b
bx-ay=c, slope m2 = b/a
m1*m2 = (-a/b)(b/a) = -1
Therefore the two lines are perpendicular so the answer is D
25 feet = 25 x 12 = 300 inches
First light is at 16 inches.
300 - 16 = 284 inches
Find the rest of the bulbs:
284 ÷ 4 = 71
Total number of lights = 71 + 1 = 72
Answer 72 lights
