Answer:
B. 1/3 multiplied by k=7
Step-by-step explanation:
7 ÷ ⅓ = k
Multiply both sides by ⅓
7 ÷ ⅓ × ⅓ = k × ⅓
7 = k × ⅓
Given:
A line passes through (1,-2) and is perpendicular to
.
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.

Slope of this line is



Product of slope of two perpendicular lines is -1.



Now, slope of required line is
and it passes through (1,-2). So, the equation of line is

where, m is slope.





Therefore, the equation of required line is
.
Answer:
(x-5)
Step-by-step explanation:
factor the equation and the sign is x-5 because the equation has to be negative at the 25.
Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by
2(45)+90=180⁰ ✔
or 3(45)+45=180⁰✔
this would not be the case if it wasn't parallel
Consequently, you can also use the alternate angle theory where you essentially extend one of the lines and you'll see two equal alternate angles
Answer:

Step-by-step explanation:
Lets use the compound interest formula provided to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
First, change 6% into a decimal:
6% ->
-> 0.06
Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:
