Answer:
y=x+4
Step-by-step explanation:
So, let's start with the fact that we have two numbers. Let's call one of them "x" and the other one "y." Let's also assume that "y" is the larger number and "x" is the smaller number.
We know that both of them added together (the sum) gives us 74. Mathematically, that means:
x+y=74.
We also know that the larger number ("y") is 4 more than the smaller number ("x"). Another way to say this is, if you have the smaller number and add 4 more to it, you'll end up with the larger number. Mathematically, this means:
y=x+4
Since we know that y=x+4, we can put "x+4" into the first equation for "y", giving us:
x+(x+4)=74
Simplifying gives us:
2x+4=74
-4 -4
---------
2x=70
--- ---
2 2
x=35
Since we now know that x=35, and we know that y=x+4, we now know that:
y=(35)+4
y=39
Now that we have both of the numbers, we should check our work to ensure it's correct:
Does 39+35=74? Yes it does.
Is 39 (the larger of the two numbers) four more than the smallest number (35)? Yes it is.
Answer:
SteAnswer:
y = 1/2x + 3/2
Step-by-step explanation:
Using the equation of the line
y - y_1 = m ( x - x_1)
First find the slope of the line
-2x + 4y = 8
It must be in this form
y = mx + C
4y = 8 + 2x
divide through by 4
4y/4 = 8 + 2x / 4
y = 8 + 2x/4
Let's separate
y = 8/4 + 2x/4
y = 2 + 1/2x
y = 1/2x + 2
Therefore, our slope or m is 1/2
Using the equation of the line
y - y_1 = m ( x - x_1)
With point (-5, -1)
x_1 = -5
y_1 = -1
y - (-1) = 1/2(x - (-5)
y + 1 = 1/2( x + 5)
Opening the brackets
y + 1 = x + 5 / 2
y = x + 5/2 - 1
Lcm is 2
y = x + 5 / 2 - 1/1
y = x + 5 -2/2
y = x +3/2
We can still separate it
y = x /2 + 3/2
y = 1/2x + 3/2
The equation of the line is
y = 1/2x + 3/2
The correct answer is A
brainliest?
We know that
if two lines are perpendicular
then
the slopes
m1*m2=-1
step 1
find the slope AB
A (0,2)
B (-3,-3)
m=(y2-y1)/(x2-x1)-----> m=(-3-2)/(-3-0)-----> m=-5/-3----> m1=5/3
step 2
find the slope CD
C (-4,1)
D (0,-2)
m=(y2-y1)/(x2-x1)-----> m=(-2-1)/(0+4)-----> m=--3/4----> m2=-3/4
step 3
multiply mi*m2
(5/3)*(-3/4)-----> -15/12
so
15/12 is not -1
therefore
AB is not perpendicular to CD
Answer:
Below in bold.
Step-by-step explanation:
This is a regular polygon so all sides are congruent, therefore:
The perimeter of the polygon = 6*34 = 204 units.
We can divide the polygon into 6 conguent triangle with height 30 and base 34.
So area of 1 triangle = 1/2*34*30 = 510.
So area of the polygon = 6 * 510 = 3060 unit^2.
Perimeter of the polygon = 6*34 = 204 units.
