1) b=1
-3+1=3b-5
Add 3b to both sides.
1=6b-5
Add 5 to both sides
6=6b
Divide both sides by 6
b=1
2) t=11
(1/2)t+7=(3/2)t-4
Subtract 1/2t from both sides.
7=t-4
Add 4 to both sides.
t=11
3) x=-0.878
-2.3 +1.2x=5.9-2.9x
Subtract 1.2x from both sides
-2.3=5.9-4.1x
Add 5.9 to both sides.
3.6=-4.1x
Divide by -4.1
x=-0.878
4)No solution
-7y-21=-3y-21
Add 3y to both sides.
-4y-21=-21
Add 21 to both sides
-4y=0
Answer:
HEY YALLL WASSUP
Step-by-step explanation:
Answer: Perpendicular
y = 5 is a horizontal line through 5 on the y axis
x = -1 is a vertical line through -1 on the x axis
We have been given two ratios and we are supposed to compare our ratios whether they are proportional or not.
1. We will reduce our fractions to compare our ratios. Let us simplify each of our given fractions.
Let us divide numerator and denominator with greatest common factor. We can see that 21 is GCF of our ratio.
Now we will simplify our second ratio.
GCF of our fraction is 32. Upon dividing our fraction by 32 we will get,
We can see that our both ratios are similar.
2. Now we will find decimal values of our fractions.
We can see that 
.
Therefore, we can say that our ratios are proportional.
Answer:
Explanation:
<em>The line y = -1 </em>is horizontal: parallel to the y-axis.
The point<em> B (2,3)</em> is above <em>the line y = - 1 </em>at a distance equal to the y-coordinate of B (y = 3) less - 1:
When the <em>point B (2,3) </em>is <em>reflected over the line y = -1</em>, the x-coordinate does not change. The image will be 4 units down the line y = -1, thus the y-coordinate will be - 1 - 4 = - 5.
Hence,<em> the coordinates of the vertex B'</em> are x = 2, y = - 5: (2, - 5).
