Answer:
y=5x-11
Step-by-step explanation:
parallel lines have the same slope 5
y-4=5(x-3)
y-4=5x-15
y=5x-15+4
y=5x-11
Answer:
40 square metres
Step-by-step explanation:
The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.
This width is also the base of the triangle, so b = 8.
Now plug these values into the equation:
A = (1/2) * b * h
A = (1/2) * 8 * 10 = (1/2) * 80 = 40
The area is 40 square metres.
Answer:
a(
+
) = = -13
Step-by-step explanation:
Given that a = -1, b=2 and c= -3
find the value of a(+)
Just substitute the values given for each variable
a(+) = (-1)(
+
) ; do the exponents first
a(+) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;
a(+) = -13 ; and multiply by -1
Answer:
A. $2.26
Step-by-step explanation:
An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...
H(t) = 110(1.035)^t
For t = 2, the two balances will be ...
H(2) = 110(1.035^2) = 117.83
R(2) = 110(1.025^2) = 115.57
The difference is ...
$117.83 -115.57 = $2.26
Harper's account will have $2.26 more.
_____
As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.
Answer:
3 hr. 45 min.
Step-by-step explanation:
