Answer:
3x - 2y = 1
Step-by-step explanation:
Step 1: Find the slope
slope m = (y2 - y1)(/x2 - x1)
m = (4 - 1)/(3 - 1) = 3/2
Step 1: Use the formula y = mx + b to solve
This is slope-intercept form of a line. We have a slope of 3/2, and a point (x, y), which is (1, 1). Plug those values into the equation above and solve for b (the only variable we are missing
1 = (3/2)(1) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b
Step 2: Rewrite the formula using the slope and the b value we just calculated
y = (3/2)x - 1/2
Step 3: Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.
y = (3/2)x - 1/2
-(3/2)x + y = -1/2 (subtract (3/2)x from both sides)
-3x + 2y = -1 (multiply by 2 to get rid of the fraction on x)
3x - 2y = 1 (multiply by -1 so a becomes positive)
You can write it in the form a^2 - b^2 where a = 5x and b = p
(5x)^2 - p^2
And then use the Difference of Squares a^2 - b^2 = (a + b)(a - b)
Answer is (5x + p)(5x - p)
Answer:
Rectangle
Step-by-step explanation:
Note the definition of a rectangle. All angles must be 90°, and opposite sides are parallel and congruent.
It says that Andre "drew a quadrilateral with <em>four right angles and two pairs of congruent sides</em>.", making rectangle a candidate as an answer.
~
Answer:
is closest to the total surface area of the box
Step-by-step explanation:
we know that
The surface area of the box is equal to
where
B is the area of the base
P is the perimeter of the base
H is the height of the box
we have
<em>Find the area of the base B</em>
<em>Find the perimeter of the base P</em>
<em>Find the surface area</em>
Change 1 hour 15 minutes = 1.25 hour because 15 ÷ 60 = 0.25 so we add 0.25 hour and change 2 3/4 to 2.75
Equation:
Multiply 2.75 × 1 = 2.75 ÷ 1.25 =
2.2 miles
I'm pretty sure this is correct
