Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
The solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
E = (v²)(m⁴)/(v²)(m³)
Divide v² by the same term v².
E = (m⁴)/(m³)
E = m
Therefore, the solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.
To know more about expression follow
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Jeff is selling Raspberry Pi cases for $4 dollars. If Jeff sells 5 Raspberry Pi cases, how much will he make off the sale?
<u>Answer</u><u>: </u>
The correct option is C. 
<u>
Explanation:
</u>
<u>Given:</u>
Dividend = -2x^3-5x^2+4x+2
Divider =(x+2)
<u>Solution</u>:
Now by using the division method , we will find out the quotient and remainder of the given equation
And the equation will become

So , We will get the quotient =
And Remainder = -10
Hence the Correct option which perfectly satisfy the given equation is C.