Answer:
False (under assumption T(2,-3) means move it right 2 units and down 3 units).
Step-by-step explanation:
The statement is false.
T(2,-3) means move the point right 2 (so plus 2 on the x-coordinate) and down 3 units (so minus 3 on the y-coordinate).
So (1,6) will become (1+2,6-3)=(3,3) after the translation.
The point (1,12) will become (1+2,12-3)=(3,9).
If the statement were "Under the translation T(2,-3) the point (1,12) will become (3,9)", then it would be true.
Or!
If the statement were "Under the translation T(2,3) the point (1,6) will become (3,9)", then it would be true.
The answer is "above" because the inequality says 2x - 2 > 2 meaning the values must be are greater than that of y = 2.
Its not "intersects" because it would be the equation 2x - 2 = 2
1) 100 * 40 = 4000 (cm²) the area of rectangle
2) 40 * 30 * 1/2 = 600 (cm²) the area of triangle
3) 4000 + 600 = 4600 (cm²)
Answer: 4600 cm²
Answer:
The top of the ladder is now at 10 ft.
Step-by-step explanation:
At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:
The base is moved twice the distance the height moves up.
We called this distance x, so we have:
The new height (H+x) is
The base travels 2x=8, so the new base B' is 0.
This means that the ladder is all against the wall (L=H').
Answer:
The interest is equal to \$13$13
we know that
The compound interest formula is equal to
A=P(1+\frac{r}{n})^{nt}A=P(1+
n
r
)
nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\begin{gathered}t=3\ years\\ P=\$80\\ r=0.05\\n=1\end{gathered}
t=3 years
P=$80
r=0.05
n=1
substitute in the formula above
A=\$80(1+\frac{0.05}{1})^{3}=\$92.61A=$80(1+
1
0.05
)
3
=$92.61
Find the interest
I=A-P=\$92.61-\$80=\$12.61I=A−P=$92.61−$80=$12.61
Round to the nearest whole dollar
\$12.61=\$13$12.61=$13
