Answer:
Step-by-step explanation:
(x+2)(x-3)
To solve for the slope given two lines, use the formula:
(y₂ - y₁)
----------
(x₂ - x₁)
Set one of the points as (x₁, y₁), and the other as (x₂, y₂).
(x₁, y₁) = <span>(0,32)
</span>(x₂, y₂) <span>= (100,212)
plug into corresponding places:
</span>(y₂ - y₁) (212 - 32) (180)
---------- = -------------- = -------
(x₂ - x₁) (100 - 0) (100)
180/100 is your slope
If you want simplified, it will be: 9/5
hope this helps
You should know that simply your answer
Answer:
(x, y) = (3, 3)
Step-by-step explanation:
Subtract double the second equation from the first.
(2x +3y) -2(x +y) = (15) -2(6)
y = 3 . . . . . . . . simplify
Use the second equation to find x.
x = 6 -y = 6 -3 = 3
The values of x and y are both 3.
Here, we are required to determine how many hours your friend will drive in order to catch you.
(a)<em> Your friend will have to drive 7 and a half hours inorder to catch </em><em>you.</em>
<em>(</em><em>b)</em><em> </em><em>You </em><em>both </em><em>will </em><em>be </em><em>6</em><em>7</em><em>5</em><em> </em><em>miles</em> <em>away </em><em>from </em><em>Ellensburg</em><em> </em><em>at </em><em>that </em><em>time.</em>
If you leave at 1 pm; At 2:30pm;
- That is; 1 and a half hours after leaving; you must have covered a distance, d = 75 × 1.5
- d = 112.5miles.
Therefore, your position; S after 2:30pm is given by;
S(a) = 75t + 112.5 miles from Ellensburg.
For your friend; travelling at 90miles/hr;
- His position is given as; S(b) = 90 × t
(a) For your friend to catch you, you both must be in the same position;
75t + 112.5 = 90t
90t -75t = 112.5
t = 112.5/15
t = 7.5hours
(b) To determine how far you both are from Ellensburg; we can either evaluate:
S(b) = 90t or S(a) = 75t + 112.5
Therefore, By evaluating S(b) = 90t.
S(b) = 90 × 7.5
S(b) = 675miles from Ellensburg.
Read more:
brainly.com/question/24234606
