Answer:
f(x) = 3 + 5x
Step-by-step explanation:
For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.
This means that f(0) = 3.
And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.
Hence, we will create the function equation:
f(x) = 3 + 5x
Cheers.
Because the fence's dimensions is 30 feet by 10 feet, you can assume that one side of the pool is 30 feet while the other, non-congruent side, is 10 feet. The formula for perimeter, which you are trying to find, is 2L+2W=P. In this problem, 30 will be your L and 10 will be your W. Therefore, 2(30) +2(10)=80.
So 80 feet will be your answer.
Answer:
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Step-by-step explanation:
Given two vectors a and b,we are rquired to find the angle between them.
a=(8,7);b=(7,0).
Angle between two vectors can be found by dot product of them.
If a and b are two vectors then the dot product of them is given by|a||b|cos(α).
Where α is the angle between the vectors a and b.
Now 
. and 
=56.
Now cosα=
so α= cosine inverse of that.
∴α=
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Answer:
m∠A = 20°
Step-by-step explanation:
Given that the sum of the angles of any triangle is 180°, adding the expressions of each angle and setting them equal to 180° will give the value of 'x' and allow you to evaluate the angles.
2x + 5x + 11x = 180
18x = 180
18x/18 = 180/18 or x = 10
m∠A = 2x or 2(10) = 20°
m∠B = 5x or 5(10) = 50°
m∠C = 11x or 11(10) = 110°
Out of the choices given, the only one that is true is that m∠A = 20°.
Step 1. The General Equation of a straight line is
Y = Mx + C where
M is the slope and
C is that point on the y axis where the curve cuts that axis (where x = 0)
In this case we are told that M = (3/4)
Our equation is now Y = (3/4)X + C ••• Equ 1
We are told that this curve passes through Point ( x, y ) = ( 8, -1 ).
Substitute these values of x, and y into Equ 1 to find C.
Y = (3/4)X + C or
( -1 ) = ( 3/4 )*( 8 ) + C or
( -1 ) = ( 6 ) + C or
C = ( - 7 )
Therefore the Equation of the Point Slope curve is
Y = ( 3/4 )X - 7
: Hope this helps :)
