Hello!
To find this ordered pair, we solve for x and y and put them together in an ordered pair.
-4+y=8
x-5y=17
Let's solve the first equation for y.
y= 12
Now, let's plug 12 into the second equation for y.
x-5(12)=17
x-60=17
x=77
Therefore, our ordered pair is (77,12)
I hope this helps!
1. m
2. One set of ordered pairs
3. b
To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).
First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.
This is why #1 is m. M is the letter used when finding slope.
To find m, I plug in the two sets of ordered pairs.
m = (8-0)/(5-1)
m = 8/4
m = 2
An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.
Here, you have just solved for m and know it equals 2. Plug that value in for m.
y = 2x + b
To solve for b, plug one ordered pair in for x and y. I will use (1,0)
0 = 2(1) + b
0 = 2 + b
-2 = b
Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
a = (1+0.2)p
This equation is used to calculate the quantity of lemonade.
<u>Step-by-step explanation:</u>
Let the quality of lemonade in lans glass be 'a'
Quantity of lemonade in patricias glass = p ounces
Lan pours 20% more than Patricia
a = (1+0.2)p
This equation is used to calculate the quantity of lemonade
Answer:
25 hours
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
Answer:
46080 ft²
Step-by-step explanation:
Given :
Scale :
1 in = 4 feets
Recall :
I foot =. 12 inches
Length of drawing = 4 feets
Length of drawing in inches = 4 * 12 = 48 inches
Width of drawing = 5 feets
Width of drawing in inches = 5 * 12 = 60 inches
Actual length of pool = 48 * 4 = 192 feets
Actual width of pool = 60 * 4 = 240 feets
The actual area of the pool :
Length * width
192 feets * 240 feets = 46080 ft²
