Answer:
y = 1/4x or y = 0.25x
Step-by-step explanation:
In this question, we are trying to write an equation with the given points.
To solve this question, we would use the slope formula: y2-y1/x2-x1
Find the slope by plugging in variables:
2-1/8-4
1/4 = m
The slope would be 1/4
Find the y intercept:
To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:
1 = 1/4(4) + b
Solve:
1 = 1/4(4) + b
1 = 1 + b
Subtract 1 from both sides
0 = b
This means that the y-intercept is 0.
Our equation will be: y = 1/4x
Answer:
The growth rate is 0.6
The growth factor is 1.6
Step-by-step explanation:
Generally, the exponential equation can be written as;
y = a(1 + r)^x
Where a is the initial value of 100
r is the growth rate
So let us form equations;
160 = 100(1 + r)^1 •••••(i)
Also;
256 = 100(1 + r)^2 •••••••(ii)
Divide equation ii by i
256/160 = 1 + r
1.6 = 1 + r
r = 1.6-1
r = 0.6
Answer:
10)
No. Since the garage is a square, the length and width are the same. And since the formula to find the area of a square is (length times width) l x w , that means that the square root of 121 would be the length and width of the garage. The square root of 121 is 11, concluding that the car that measures 13 feet long is too large.
11)
7. its the square root of 49, which is the closest to 55.
hope this helps!
First of all,we have to cancel off the denominator.
times 2 to the equation in order to cancel off the denominator "2"
(x2) x+2x-6/5=6
#all numbers in this equation will be timed by 2 as well
then times 5 to cancel off the denominator"5"
(x5) 5x+10x-6=30
#all of them are timed by 5
then u will see this equation:
5x+10x-6=30
plus up the unknown numbers,
15x-6=30
Move the negative number "-6" to the back of 30.
When negative number moved to the other side,it will become positive number.
Same as when positive number moved to the other side,it will become negative number.
Thus,
"-6” moved
become positive "6"
Usually positive means plus"+" while negative means minus"-".
15x=30+6
15x=36
Move 15 to the opposite side,
Timed by 15 become divided by 15.
Just like the positive and negative numbers,they forced to become the opposite things.
positive→negative OR negative→positive
plus→minus OR minus→plus
times→divide OR divide→times
Thus,
x=36÷15
OR u can write as fraction,
x=36/15
x=12/5
final ans:
x=12/5 OR 2.4
The answer is the option b. 1.
Two sides and one angle determine one unique triangle.
If the angle is the between the two sides, you just can use the rule known as SAS, Side Angle Side.
When that is the case you use the cosine rule.
When the known angle is not between the two sides but one of the others, you use sine theorem.
Then in any case when you know two sides and one angle of a triangle the other side and angles are determined, which implies that there is only one possible triangle.
