Answer:
B
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply each of the coordinates by 4 , that is
A (0, 10 ) → A' (4(0), 4(10) ) → A' (0, 40 )
B (8, 6 ) → B' (4(8), 4(6) ) → B' (32, 24 )
C (4, 2 ) → C' (4(4), 4(2) ) → C' (16, 8 )
Answer:
the quadratic formula is ax^2 + bx + c", if the first one is expanded out I will be 6x^2+8x+27 so that's the answer
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Answer:
The area of the paralellogram is 24 square units.
Step-by-step explanation:
Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:
(1)
Where:
- Area.
- Base.
- Height.
The base and height of the parallelogram are, respectively:
Base


Height


Then, the area of the parallelogram is:


The area of the paralellogram is 24 square units.
Answer:
$100.4
Step-by-step explanation:
Compound Interest Formula:
A = P
1 + 
=> A = 100 x ( 1 +
)^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)