Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
We have the points (5, -5) and (-4, -2).
Substiute:
Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:
<em>add 5/3 to both sides</em>
Finally we have the equation of a line in the slope-intercept form:
Convert to the standard form <em>(Ax + By = C)</em>:
<em>multiply both sides by 3</em>
<em>add x to both sides</em>
Answer:
4x + 1 and 6x - 2x - 2 + 3
Step-by-step explanation:
we can expand and find 2 equations that are the same as this
one being 6x+3 -2x -2
and another being 4x + 1
hope this helps!
Answer:
1661.06 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 11.5 cm
Size of synthetic leather needed =?
To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:
Radius (r) = 11.5 cm
Pi (π) = 3.14
Area of ball =?
The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:
A = 4πr²
A = 4 × 3.14 × 11.5²
A = 4× 3.14 × 132.25
A = 1661.06 cm²
Thus, 1661.06 cm² of synthetic leather needed to cover the ball.
Answer:
step 1: move the -4 to the right: x^2 -2x = 4
step 2: add 1 to each side: x^2 -2x + 1 = 4 + 1
step 3: factor the left side and simplify the right side: (x-1)^2 = 5
step 4: take the square root of each side: x - 1 = sqr root of 5
step 5: move the 1 to the other side: 
and 
