c ≈ 16.7 ( to 1 dec. place ) → d
since triangle ABC is right use the cosine ratio to find c
cos33° = =
multiply both sides by c
c × cos33° = 14 ( divide both sides by cos33° )
x = ≈ 16.7 ( to 1 dec. place )
Answer:
See below
Step-by-step explanation:
= 2.449
So, While plotting to the number line it will be like:
I'm gonna try to describe this as best as i can:
to get from 1 to 3, you must add two. therefore making 2 the third and next number in the sequence.
to get from 2 to 6, you must add four, therefore making 4 the fifth and next number in the sequence.
to get from 4 to 9, you must add five, therefore 5 would be the seventh and next number in the sequence.
i hope this helps you out!
If a system of linear equations has exactly one solution then the slopes of both the lines should be different.
Given A system of linear equations has exactly one solution.
Linear equation is a type of equation when when plotted on the graph gives a straight line. The slope is the ratio of the vertical change to the horizontal change between two distinct points on a line.
let two equations be who have one solution
2x+3y=7
5x+6y=1
solving them
x=7-3y/2
put the value of x in second equation
5(7-3y)/2+6y=1
35-15y/2+6y=1
35-15y+12y=2
-3y=-33
y=11
put the value of y in x=7-3y/2
x=7-3*11/2
x=7-33/2
x=-26/2
x=-13.
There is only one solution which is (-13,11)
Taking equations and convert them into standard form
first
y=7/3-2/3x
second
y=1/6-5/6x
The standard form is y=a+bx where b is slope
from the above equations we can find that the slope of first equation is -2/3 and the slope of second equation is -5/6. In this way we are able to conclude that slopes should be different for one solution.
Learn more about slope here brainly.com/question/3493733
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