Answer:
y= -1x + 3
because Graph y=-2x+3 Find the y-intercept and the slope Two points is enough to graph a straight line y = mx + c
Answer: 8 1/20 or 8.05.
Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.
Answer:
Step-by-step explanation:
- speed = distance / time
- time = distance / speed
a)
i)
<u>Time taken at the first part:</u>
ii)
<u>Time taken at the second part:</u>
- (190 - 105) / (x + 12) =
- 85/(x + 12)
b)
<u>If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:</u>
- 105/x + 85/(x + 12) = 13/4
- 4(x + 12)*105 + 4(85x) = 13x(x + 12)
- 13x² - 604x - 5040 = 0
c)
<u>Solve the equation:</u>
- 13x² - 604x - 5040 = 0
- x = [604 ± √((-604)² + 4*13*5040) ]/26 =
- [604 ± √626896]/26 =
- [604 ± 791.77]/26
- x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)
d)
- 105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)
- 85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)
There are six sides on each die. For each possible score on Die 1, there are six possible scores on Die 2. So the number of possible combinations is 6*6 = 36.
<span>It follows that if the dice are thrown 36 times, you would expect each combination to come up once. </span>
<span>We therefore simply need to know how many combinations add up to less than 5. (I've interpreted this as not including a total of 5 itself). </span>
<span>These combinations are: 1 and 1, 2 and 1, 1 and 2, 2 and 2, 3 and 1, and 1 and 3 ---> six combinations out of 36. </span>
<span>So you'd expect a sum less than 5 six times. </span>
Hi there!
For congruent triangles, all angle measures and sides are congruent. So, if you look at the other triangle, and find the corresponding side, it will be the same measure.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
