The equation of the line is y = 3x + 6
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
<h3>How to determine the
equation of the line?</h3>
The given parameters are
Slope, m = 3
y-intercept, c = 6
A linear equation is represented as
y = slope * x + y-intercept
i.e.
y = mx + c
So, we have
y = 3x + 6
Hence. the linear equation is y = 3x + 6
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Answer:
tan 60 = √3
Step-by-step explanation:
using SOH CAH TOA
tan theta = opposite/adjacent
Let the side opposite to angle 60 degrees be x
Hence;
tan 30 = 5/x
x = 5/tan 30
x = 5/1/√3
x = 5√3
Get tan 60
tan 60 = 5√3/5
tan 60 = √3
A person could be about 2 meters, if there are really tall.
Two meters is equal to about 6 and half feet. You could have fences that are that tall, trees that are that tall, doors that are that tall, a couch could be that long, a table could be that long, etc.
Answer:
Resulting polynomial contains a maximum mn positive terms.
Step-by-step explanation:
Given one polynomial contains m nonzero terms and second polynomial contains n nonzero terms.
To show after multiplication and combining similar terms how many positive terms contan by both polynomial.
Now let,
- m=1=(a), n=2=(x,y) then after multiplication a(x+y)=ax+ay, 2 positive terms.
- m=2=(a,b), n=3=(x,y,z) then after multiplication (a,b)(x+y+z)=ax+ay+az+bx+by+bz, 6 positive terms.
- m=3=(a,b,c), n=4=(x,y,z,t) then after multiplication (a+b+c)(x+y+z)=ax+ay+az+at+bx+by+bz+bt+cx+cy+cz+ct, 12 positive terms.
So we see that after multiplication of m and n positive terms, there are mn positive terms are there.
To prove this we have to apply mathematical induction. So let the statement is true for m=p and n=q number of positive terms, then mn=pq.
We have to show avobe ststement is hold for m+1, n+1. Considering,
(m+1)(n+1)=mn+m+n+1=pq+p+q+1=p(q+1)+1(q+1)=(p+1)(q+1)
Hence above statement is true for m+1 and n+1.
Thus there will be mn nonzero terms after multiplication and combine positive terms.
Answer:
14>z
Step-by-step explanation:
add 6 to both sides
