Answer:
B and C
Step-by-step explanation:
They're congruent
Hey Jackson!
-4x + 3y = 3
y = 2x + 1
Ok so what we need to do is solving y= 2x + 1 for y.
So let's start by using the substitution method :)
Substitute 2x + 1 for y in -4x + 3y = 3
-4x+ 3y = 3
-4x + 3(2x + 1) = 3
-4x + (3)(2x) + (3)(1) = 3
-4x + 6x + 3 = 3
2x + 3 = 3
Subtract 3 on both sides
2x + 3 - 3 = 3 - 3
2x = 0
x = 0/2
x = 0
So now since we find the number for x, we gonna use it to help us find the value for y.
To find y, we need to substitute 0 for x in y = 2x + 1
y = 2x + 1
y = 2(0) + 1
y = 0 + 1
y = 1
Thus,
The answer is: y = 1 and x = 0
How to graph?
You need to go on the thing where they put the numbers. y is located on top which has the positive numbers. So when you get there, make a line that comes from the top right side all the way to the bottom left sides. Remember that y = 1 so the line must pass through 1
I am not good with explanation. So I'll leave the graph down below then you'll see what I am talking about :)
Let me know if you have any questions. As always, it is my pleasure to help students like you!
You can reword the equation 6x+y=9 to
Y=6x+9
Then plug-in y=6x+9 into the equation 2x+3y=-5
Plug this 2x+3(6x+9)=-5
2x+18x+27=-5
Then solve it from there
Area of a circle is PI x r^2
The radius of the large circle is shown as 8 m
The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m
The radius of the small circle would be 2m
Area of large circle = pi x 8^2 = 64pi = 200.96 square m
Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.
Area of small circle = pi x 2^2 = 4pi = 12.56 square m.
The area of the shaded region = large - middle + small
Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.
First picture:
When two lines intersect, they form 4 angles. Each 2 vertically opposed angles, are equal.
The sum of 2 angles is 114. We suppose they are vertically opposed, which means that each angle is 114/2 = 57 degrees.
Now the 4 angles of 2 intersect lines form a 360 degrees angle. Which means that the sum of the 2 other angles is 360 - 114 = 246 degrees.
Same thing, we divide that angle in 2 and we get 246/2 = 123. Which means that the other 2 angles are 123 degrees each.
So the sum of all the angles are 57, 57, 123 and 123.
Second Picture:
By hypothesis, we know that the angle is 172 degrees. The angle bisector divides an angle in 2 equal angles. So both angles, in this case, will be 172/2 = 86 degrees.
So the measure of an angle formed by the angle bisector of a given angle (172 degrees) and one of its sides is, in this case, 86 degrees.
Hope this helps! :)