Lets x and y are the 2 numbers
<span>One number is 5 more than another number: x = y + 5
</span><span>The sum of the two numbers is 43: x + y = 43
substitute </span>x = y + 5 into x + y = 43
x + y = 43
y + 5 + y = 43
2y = 38
y = 19
x = y + 5 = 19 + 5 = 24
answer
Two numbers are 19 and 24
Angles 1 and 8 are created by line t intersecting with line m.
Line t is called a transversal line, because it intersects 2 parallel lines.
t divides the straight angle formed by m alone, forming the linear pair of angles (1) and (8), whose sum is 180 °, that is they are supplementary.
Answer: (1) and (8) are linear pairs
Answer:
Step-by-step explanation:
To differentiate this we will need to use the chain rule:
.
We will also have to keep in mind how to differentiate the following:
with repect to
with respect to .
Derivative of both sides:
The other angle would have to be 96 degrees, so the first option
Answer:
y = -1/2x +7/2
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (5-3)/(-3-1)
= 2 /-4
= -1/2
We can use the slope intercept form
y= mx+b where m is the slope and b is the y intercept
y = -1/2 x+b
Substitute the point int
3 = -1/2 (1) +b
3 = -1/2 +b
Add 1/2 to each side
62 + 1/2 = b
b = 7/2
y = -1/2x +7/2