Answer:
Step-by-step explanation:
To find the distance between a point (m, n ) and the line
Ax + By + C = 0
d =
Here (m, n) = (6, 2) and rearranging the line
6x - y + 3 = 0 ← in general form
with A = 6, B = - 1 and C = 3 , then
d =
=
=
Rationalise the denominator by multiplying numerator/ denominator by
= ×
= ← cancel 37 on numerator/ denominator
=
Answer:
-7.
Step-by-step explanation:
-|-2 + 9| = -|7| = -7.
Answer:
The cost of one large drink is $1.50.
(13.5-10) + 4 = (7.5 ÷ 5) = $1.50
Step-by-step explanation:
The first step is to minus the $10.00 from the $13.50, which gives us $3.50.
<em>13.5 - 10 </em>
We've done this because the pizza is irrelevant to what we're trying to figure out, so we subtract the price of the food, which as we already know is $10, to isolate the price of the 5 drinks to make it easier to find the price of just one.
Once we've done that, we're going to add on the $4.00 they got discounted to the $3.50 in order to find the original price of the drinks without using the gift certificate.
<em>(13.5 - 10) + 4</em>
This gives us $7.50, or the price of 5 large drinks. But we're only looking for the price of one. So we're going to divide the 7.50 by the total number of drinks ordered.
<em>(13.5-10) + 4 = (7.5 ÷ 5)</em>
This gives us 1.5, or $1.50.
<em>(13.5-10) + 4 = (7.5 ÷ 5) = $1.50</em>
<em></em>
<h2>
Hope this was helpful!</h2>
Answer:
13 = x
Step-by-step explanation:
Remark
The six exterior angles add up to 360. In fact the exterior angles of any closed convex figure adds up to 360.
You can try this with simple figures. An equalateral triangle has 3 equal exteror angles. They are all 120 degrees 3*120 = 360
A square has 4 exterior angles. All 4 of them are 90 degrees. The sum of them is 90 * 4 = 360
Givens
Angles
- 3x+ 6,
- 7x - 11,
- 62,
- 4x + 7 ,
- 6x-5,
- 41
The Total is 360 degrees
Solution
3x + 6 + 7x - 11 + 62 + 4x + 7 + 6x - 5 + 41 = 360 Combine like terms
20x + 100 = 360 Subtract 100 from both sides
20x = 360 - 100
20x = 260
x = 13
Check
- 3x + 6 = 45
- 7x - 11 = 80
- 62
- 4x + 7 = 59
- 6x - 5 = 73
- <u> 41 </u>
- Total 360
Answer:
74.4cm
Step-by-step explanation:
Perimeter is L + L + W + W
or 2L +2W
so 2(18.7) + 2(18.5) = 74.4 cm