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:
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.
A. y-intercept
B. The slope is 3/4, the y-intercept is 0
C. For this one you need to put it in y-intercept form. So, you subtract 2x, and move it over to 12. The equation would look like 6y = 2x + 12.
Then, divide everything by 6, and the equation would look like: y = 2/6x + 2
Thus, the slope is 2/6x and 2 is the y-intercept.
The answer is 65 so u just leave the house and u go and get drink and hang out with your friends.
The amount of heat (in KJ) released when 3.5 moles of CH₄ react is 3115 KJ
<h3>Balanced equation</h3>
CH₄ + 2O₂ -> CO₂ + 2H₂O ΔH = 890 KJ
From the balanced equation above,
1 mole of CH₄ reacted to release 890 KJ of heat energy.
<h3>How to determine the heat energy released by 3.5 moles of CH₄</h3>
From the balanced equation above,
1 mole of CH₄ reacted to release 890 KJ of heat energy
Therefore,
3.5 moles of CH₄ will react ro release = 3.5 × 890 = 3115 KJ of heat energy
Thus, 3115 KJ of heat energy were released from the reaction
Learn more about enthalpy change:
brainly.com/question/11967318
#SPJ1
Answer:
x=2
Step-by-step explanation:
Substitute y=0 0=0.5(x-2) 21
multiply the numbers 0=10.5(x-2) *(21x0.5)
remove the parenthesis 0=10.5x-21
move the variable -10.5x=-21
divide both sides by -10.5
solution x=2
