Answer:
y = 3x - 1
Step-by-step explanation:
Let's start with the two points.
y = mx + b
-19 = -6m + b
5 = 2m + b
Subtract the first from the second.
24 = 8m
m = 3
5 = 2*3 + b
b = -1
Answer:
20
Step-by-step explanation:
Well consecutive numbers mean that the 3 numbers will follow each other in smallest to largest.
Example : 6, 7, 8 or 6,34,87
Non-Example : 7, 9, 6
As long as the number is greater than the one before it they are consecutive.
Following this rule I have come up with the numbers :
10, 12, 20
These three numbers are consecutive and equal to 42.
Now to find the largest number in this set just look at the greatest value which would be 20.
I don't have an entire explanation for this as I just did it in my head but I do hope it is correct.
I hope this helps! :)
Answer:
centre = (- 2, 3 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 4x - 6y = 12 ( collect x/ y terms )
x² + 4x + y² - 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms)² to both sides
x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 12 + 4 + 9
(x + 2)² + (y - 3)² = 25 ← in standard form
with centre (- 2, 3 ) and r = 
= 5
Answer:
x = 8
Step-by-step explanation:
For the triangles to be congruent, then the legs
ED = AB, that is
4x + 2 = 34 ( subtract 2 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Answer:
40 pages.
Step-by-step explanation:
120/3=40
Maria is reading 40 pages every hour.
