Well, first of all, the first statement (ABC = ADC) looks like it just says
that the two halves of the little square ... each side of the diagonal ...
are congruent. That's no big deal, and it's no help in answering the
question.
The effect of the dilation is that all the DIMENSIONS of the square
are doubled ... each side of the square becomes twice as long.
Then, when you multiply (length x width) to get the area, you'd have
Area = (2 x original length) x (2 x original width)
and that's
the same as (2 x 2) x (original length x original width)
= (4) x (original area) .
Here's an easy, useful factoid to memorize:
-- Dilate a line (1 dimension) by 'x' times . . . multiply the length by x¹
-- Dilate a shape (2 dimensions) by 'x' . . . multiply area by x²
-- Dilate a solid (3 dimensions) by 'x' . . . multiply volume by x³
And that's all the dimensions we have in our world.
_______________________________
Oh, BTW . . .
-- Dilate a point (0 dimensions) by 'x' . . . multiply it by x⁰ (1)
Answer:
slope of line is 3
y-intercept of line is -13
Explanation:
The general formula of the linear line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
The given line is:
y = 3x - 13
Comparing the given line with the general formula, we would find that:
m (the slope of the line) is 3
c (the y-intercept) is -13
Hope this helps :)
Answer:
The amount of interest is $5580.
Step-by-step explanation:
Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.
To find : The amount of interest he will pay with the loan ?
Solution :
Using interest formula,
Where, P is the principal P=$30,000
R is the rate of interest R=6.2%=0.062
T is the time t=3 years.
Substitute the value in the formula,
Therefore, The amount of interest is $5580.
Answer:
OK I think that their is 9 options
Step-by-step explanation:
1.(red,tulips,plaid) 2.(red,daisies,striped) 3.(red,roses,solid)
4 .(blue,tulips,plaid) 5.(blue,daisies,striped) 6.(blue, roses,solid) 7.(yellow,tulips,plaid) 8.(yellow, daisies,striped) 9.(yellow, roses, solid)
Hope this somewhat helps :)
