The third one, this is because you take your y2 and y1 values (y2=0 and y1=9 because these are the two y values given to you from each coordinate) and subtract 0-9. then you do the same, but with the x2 and x1 values. so your x1 value is 3 and your x2 value is 0, so you subtract 0 from 3. divide your second answer from the first answer, to get a gradient of -1/3 x. now using the first coordinate (0,9) you know that the y coordinate is 9. as the x value =0, we know that the line is passing through the y axis at 9 so 9 is your y intercept. this gives you the equation -1/3x+9. hope this helped and wasn't too confusing!
Answer:
2 2/3
Step-by-step Explanation:
You can make the 8 1/3 a fraction by making the whole number 8 into a fraction by putting 8 as the numerator and 1 as the denomenator and then multiply 8/1 by 1/3 to get 8/3. You can then simplify this even further by making this improper fraction into an mixed fraction. 3 goes into 8, 2 times with a remainder of 2. You then write the remainder as 2 over 3 to make the fraction 2/3. This then comes out to be 2 2/3.
8/1 • 2/3 = 8/3
8/3 = 2 2/3
Foil the binomials
First: n*n=n^2
Outer: n*-5=-5n
Inner: -3*n=-3n
Last: -3*-5=15
Put it together and simplify
n^2-5n-3n+15
n^2-8n+15
Final answer: A
Answer:
7 hours
Step-by-step explanation:
We are given that
At sunset, the temperature=-5 degrees Fahrenheit
Each hour, temperature falling=2degrees Fahrenheit
We have to find time taken to reach the temperature -19° F.
Let x be the time time taken to reach the temperature -19° F
According to question
Where we taking 2 negative because temperature decreases.
Hence, it will take 7 hours for the temperature to reach -19° F.
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 is in this form with slope m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (10, 1) into the partial equation
1 = 30 + c ⇒ c = 1 - 30 = - 29
y = 3x - 29 ← in slope- intercept form
Subtract y from both sides
0 = 3x - y - 29 ( add 29 to both sides )
29 = 3x - y, thus
3x - y = 29 ← in standard form → B
