The equation in standard form that passes through (0, -3) and (7, 0) is 3x – 7y = 21
<u>Solution:</u>
Given, two points are (0, -3) and (7, 0)
We have to find that a line that passes through the given two points in standard form.
First let us find the slope of the line that passes through given two points.
The slope of the line "m" is given as:


Now, let us find the line equation using point slope form:


7(y – 0) = 3(x – 7)
7y = 3x – 21
3x – 7y = 21
Hence, the line equation in standard form is 3x – 7y = 21.
Answer:
The triangle is Acute.
Step-by-step explanation:
Good Luck
Hello! To solve this problem, we can write and solve an equation. Set it up like this:
6 + 3m = 24
This is because 6 is the one-time fixed price and you pay $3 per mile. Subtract 6 from both sides in order to get 3m = 18. Now, divide each side by 3 to isolate the “m”. 18/3 is 6. There. m = 6. Mike traveled 6 miles by taxi.
Answer:
Inverse Operations
Inverse operations
Division
Step-by-step explanation:
+4 on both sides
-17 both sides
Divide by 20 both sides.
Answer:
1. 19C8 = 75582
2. 19P8= 3047466240
Step-by-step explanation:
First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.
Combination:
When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582
Permutation:
When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.