C. 9 square roots of 2
To answer this question, it's super important that you understand the ratio of sides for special triangles. This triangle in particular, a 45-45-90 triangle, has a ratio between the legs and hypotenuse of 1:1:
Since we are given the value of the hypotenuse, we know that the value of the two sides multiplied by 
will be 18. Knowing this, we can write out an equation:
u* = 18
u = 
<u>Multiply both sides by </u><u> in order to get rid of the root in the denominator:</u>
u = 
u = 
u = 9
If you'd like me to explain how I got to the answer any further, just ask!
- breezyツ
Answer:a
Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than
Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula 
. Substitute the x and y values of the given points into the formula and solve:
Thus, the slope is 
.
2) Now, use the point-slope formula 
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for 
, 
, and 
.
Since represents the slope, substitute for it. Since and represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
Answer:
y = 3/2 x - 9/4
Step-by-step explanation:
bring all the y's to one side.
4y = 6x-9
divide by 4 to isolate the y
y = 6/4x - 9/4
simplify
y = 3/2 x - 9/4
The solution to these equations is either x < 0 or x > 3.
In order to find them, we need to solve each equation separately. Let's start with the first one.
2x - 1 < -1 -----> Add 1 to both sides
2x < 0 -----> Now divide each side by 2.
x < 0
Now let's look at the second one.
-4x < -12 ----> Divide both sides by -4
x > 3 (Notice that the sign changes direction because we divided by a negative)
When you have an "or" statement, you'll wind up with two answers, so we use both of these.
