Can someone help please
1 answer:
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Answer:
Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.
Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
- x₁= -2
- y₁= -1
- x₂= 3
- y₂= 2
Substitute the values into the formula.
Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3
Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9
Add.
This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):