First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1 3-8 5
Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3) (I used point B here)
5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span> 5 5 5
Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span> 5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span> 5</span>
Answer:
| x - 0 | ≤ 2
Step-by-step explanation:
Given,
The ideal temperature of the freezer = 0° F,
Also, it can fluctuate by 2° F,
Thus, if x represents the temperature of the freezer,
Then, there can be two cases,
Case 1 : x > 0,
⇒ x - 0 ≤ 2
Case 2 : If x < 0,
⇒ 0 - x ≤ 2,
⇒ -( x - 0 ) ≤ 2,
By combining the inequalities,
We get,
| x - 0 | ≤ 2,
Which is the required inequality.
Answer:
A
Step-by-step explanation:
Just like the last time that you asked this question, when you multiply the x^2 part of the parabolic function by a certain coefficient, the graph is stretched by that amount. When you add a certain amount, the graph is shifted up that much. Hope this helps!
Answer:
because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters
=> the length of the playground cannot exceed: (120/2)-22= 38(meters)
Step-by-step explanation:
Answer: 0.12
Step-by-step explanation: I think that should be the answer if not im sorry i just wanted to help. :(
