Step-by-step explanation:
3t - 10 = 8
3t=18
t=6
Hope it helps
You need to multiply the length and the width of the shape.
Answer:
40.35
Step-by-step explanation:
First find the discount
97 * 60%
97 *.6 = 58.2
Subtract the discount to find the new price
97-58.20 =38.80
Next find the tax
38.80 * 4%
38.80 * .04
1.55
We add the tax to the sales price
38.8+1.55
40.35
Answer:
x=8, y=-1
Step-by-step explanation:
The figure is said to be a rectangle, which means opposite sides have to be equal in length. From this, we can write a system of equations:
5x-2y=42
2x+3y=13
There are a number of ways to solve this but I'll go with elimination--that means you need to try to remove one variable first by manipulating the equations and solve for the other variable. Then you use the solution to solve for the variable you initially removed. That sounds confusing, but let me show you how to do it.
If you multiply the first equation by 3 and the second equation by 2, you'll have have:
15x-6y=126
4x+6y=26
Now, we can add these two equations. The y will cancel out, so we can easily solve for x.
19x=152
x=8
Use this value of x to substitute back into either of the original equations to find y.
5(8)-2y=42
40-2y=42
-2y=2
y=-1
Two lines are perpendicular between each other if their slopes fulfills the following property
where m1 and m2 represents the slopes of line 1 an 2, respectively.
To find the slope of a line we can write it in the form slope-intercept form
Our original line is
Then its slope is
Now we have to find the slope of the second line. Using the first property,
Then the second line has to have a slope of 8.
The options given to us are:
Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:
Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.
Then the line perpendicular to the original one is
