Answer:
see explanation
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3)
m = 
= 
= 
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 3), then
3 = 2 + c ⇒ c = 3 - 2 = 1
y = x + 1 ← equation of line
Multiply through by 3
3y = 2x + 3 ( subtract 3y from both sides )
0 = 2x - 3y + 3 ( subtract 3 from both sides )
- 3 = 2x - 3y, that is
2x - 3y = - 3 ← in standard form
Answer:
27.60
Step-by-step explanation:
Answer:
105/8 = 13 1/8 = 13.125
Step-by-step explanation:
The first step is to turn the (-5 5/8) into a mixed number. The mixed number you should be getting is - 45/8. The second step is to convert the (-2 1/3) into a mixed number as well, your second mixed number should be -7/3. Next multiply the two fractions, - 45/8 x (-7/3) = 315/24.
We can simplify 315/24 by dividing by 3, so you'll divide 315 divided by 3 and 24 divided by 3 and you should get ... 105/8. So 105/ 8 is equal to
13 1/8. If you need this fraction in decimal form it is 13.125.
Answer:
The answer is D, as the trapezoid will not change at all due to the fact that it is just being rotated. (Rotations do not change a shape's measures or shape). :)
Step-by-step explanation:
Answer:
D, the product of two rational numbers is rational
Step-by-step explanation:
it you multiply 3 & 2, you will get a positive 6. Two positive numbers together make a positive. Hope that this helps you :)
