Answer:
We conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:
The graph of the line is also attached.
Step-by-step explanation:
Given
Using the point-slope form of the line equation
where
- m is the slope of the line
substituting the values m = 3 and the point (x₁, y₁) = (3,-3)
Apply rule: -(-a) = a
subtract 3 from both sides
simplify
Therefore, we conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:
The graph of the line is also attached.
Answer:
a=16
Step-by-step explanation:
The distributive property states that
Therefore using the distributive property
=
Expanding the brackets
.....(i)
Comparing with the form
-----(ii)
The coefficient of y in (i) is 16 which corresponds to a and the likewise the coefficient of xy
Therefore, a=16
Answer:
62
Step-by-step explanation:
There are two lengths so 77 + 77 is 154. Now, subtract from the perimeter. 278 minus 154 is 124. This is both widths combined so to only get one, divide by 2. 124 divided by 2 is 62.
Answer:
around 254.47
Step-by-step explanation:
pi*r^2 is the equation. the radius is 9 so in the equation the r^2 is equal to 81 since 9*9 =81. 81*pi is equal to 254.47
Answer:
Step-by-step explanation:
If the jacket was discounted at 25%, that means that you get 25% off, right? What it also means is that you are still paying 75%. To get to the price of the jacket on sale, multiply the price of the jacket by 75% (as a decimal):
290(.75) = 217.50
That's the price of the jacket when it is 25% off the original price. If Arianna got an additional 10% off that price, that means she got 10% off but is still paying 90%. To get to the final price that she paid, multiply the sale price of the jacket by 90% (as a decimal):
217.50(.90) = 195.75
That's what she paid in the end for the jacket (i guess not counting tax...?)
