We see from the attached, that kite area = product of the diagonals / 2
The diagonals could be 12 by 8 or
6 by 16 or
3 by 32, etc
It cannot be narrowed down any further.
Answer:
D. y = 5x + 29
Step-by-step explanation:
To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.
The equation of a line is y=mx + b.
x and y are the coordinates of any point on a line.
m is the slope.
b is the y-intercept.
Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.
m = 5
Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.
Substitute the known information into the equation and isolate b.
y = mx + b
-1 = 5(-6) + b <=Simplify by solving 5 X -6
-1 = -30 + b
-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b
29 = b
b = 29 <= Standard formatting puts the variable on the left side
Put the m and b values into the equation of a line to solve:
y = mx + b
y = 5x + 29
I'm going to assume you meant crayon instead of can:
First step is to find how many boxes she/he has left.
30 - 10 = 20
So the teacher has 20 boxes left;
Now, knowing that each box has 16 crayons, then we simply multiply the 20 by 16 to find the total number of crayons left over:
20 x 16 = 320
So the art teacher has 320 crayons left over.
Hope this helps!
Answer:
Rita's pay for Monday is $158.
Step-by-step explanation:
Rita's hourly pay for an 8-hour shift she works everyday is, $16.
If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.
That is, if she works (8 + <em>x</em>) hours a day then the pay for the <em>x</em> hour is, 1.5<em>x</em>.
Rita's working hours on Monday is:
- Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.
- 45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
- Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes
It is provided that Rita does not get paid for lunch hour.
Rita's pay for Monday is computed as follows:
= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)
= (4 hours 30 minutes) + (4 hours 30 minutes)
= (4 + 4) hours + (30 + 45) minutes
= (8 × 16) + (75 minutes × 16 × 1.5)
= 128 + (1.25 hours × 24)
= 128 + 30
= 158
Thus, Rita's pay for Monday is $158.
