Y = x - 28/5. The slope here is 1. A perpendicular line will have a negative reciprocal slope. So our perpendicular line will have a slope of -1.
slope = (y2 - y1) / (x2 - x1)
(k,2)....x1 = k and y1 = 2
(7,0)...x2 = 7 and y2 = 0
sub
slope = (0 - 2) / (7 - k)
slope = -2 / ?......now if we want the slope to be -1..that means the number where the question mark is has to be 2....for that to happen, k has to be 5...because 7 - 5 = 2.
so ur answer is : k = 5
The middle right is 145-90, so 55°. I'm not sure about the others
Answer:
Step-by-step explanation:
Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56
Simple interest formula =
I = PRT
We are to find the Amount = Principal invested
For Account 1
I1 = P × 5% × 1
= 0.05P
Account 2
I2 = P × 6% × 1
= 0.06P
Therefore:
0.05P + 0.06P = $56
Answer:
k = 4
Step-by-step explanation:
From the graph, it is clear that (4,10), (2,0) points are on the graph of function f(x).
Since, it is a straight line then equation of f(x) is given by
⇒
⇒ y = 5x - 10.
Hence, f(x) = 5x - 10
Given that g(x) = f(kx) = 5kx - 10 and g(x) passes through (1,10) point.
So, 10 = 5k - 10
⇒ 5k = 20
⇒ k = 4 (Answer)
Answer: 45 for both
B and D are both right angles (90°)
A triangle always equals 180.
180-90= 90
To find the other 2 by dividing by 2.
90/2 = 45
Hope this helps :)