Answer:
'Substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'.
Step-by-step explanation:
Kiana wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line q.
This equation is in the slope-intercept form where m is the slope and b is the y-intercept.
First, she finds the slope of line q and the slope of line s to be – 2. Point P is located at (-3,2).
Therefore, the step that can be used to find the y-intercept is 'substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'. (Answer)
4: (3/4 - 1/2) X 3/5.
You need them all to have the same denominator (bottom number)
The lowest common denominator (LCM) of 2,4 and 5 is 20
4 X 5 = 20
2 X 10 = 20
5 X 4 = 20
Then multiply the top number by the amount you need to multiply the bottom number by to get 20
3 X 5 = 15
1 X 10 = 10
3 X 4 = 12
(3/4 - 1/2) X 3/5. Turns to (15/20 - 10/20) X 12/20.
15 - 10 = 5
5 X 12 = 60
Answer: 60/20
Simplified: Either 3 or 3/1.
If you use the steps above then you should be able to do the rest :D
If you need anymore help, please ask
Length (L): 4w + 1
width (w): w
Perimeter (P) = 2L + 2w
62 = 2(4w + 1) + 2(w)
62 = 8w + 2 + 2w
62 = 10w + 2
60 = 10w
6 = w
Length: L = 4w + 1 → 4(6) + 1 → 24 + 1 → 25
Answer: 6 meters x 25 meters
Answer: See Explanation
Step-by-step explanation:
This worksheet seems to be about "Special Right Triangles"
In this worksheet, it instructs you to find the missing side lengths.
Explaining number 1)
Step 1) Identifying the triangle and what it means
Since the triangle in number one is a 45-45-90 triangle with the given side length of "1" on one of the legs of the triangle, it can be concluded that the other leg also has a side length of "1" (due to the ratio of side on a 45-45-90 degree triangle), is also states the triangle has 45 degrees labeled on one of the angles, is can also be concluded that the other missing angle is 45 degrees.
Step 2) Answer
The answer to b is 1 and the answer to a is square root of 2, due to the properties of a 45 45 90 triangle (refer attachment)
*you can also use the following attachment to help you on this problem