Slope = change in y over change in x:
Slope = (-6 6) / 2- -6) = -3/2
Equation of a line is y = Mx + b, where m is the slope and b is the y intercept.
Y = -3/2x + b
Replace y and x with one of the given points and solve for b:
6 = -3/2(-6) + b
6 = -9 + b
B = -9 + 6
B = -3
The equation of the line is y = -3/2x-3
They're all similar. Problem one you need to think how can I eliminate one of the variables to solve for the other one. Think muliplication in your head when doing this but as same time look for a way to subtract the variable you are eliminatiing should equal 0 then you solve the varialbe by itself. After you find one variables solution you need to substitute that solution into the variables place from one of the two original equations. I would think multiplying the -2y by 3 and 3y by 2. Notice one has a negative and other is positive so when I add the two equations I'll get 0y. However do not forget to multiply both equations by the multiplied number you used to each term in the equation. you should get 35x = 35 then x=1. Now you need to find y by substituting the 1 for either x-value in the two equations such as 4(1) + 3y = -5 now just solve for y and you get y = -3. your answer should be (1, -3). Notice you can always check and verify your right by substituting your values found into both solutions to get 15 = 15 and -5 = -5.
Answer:
2.5 + 3<em>h</em> = 13
Step-by-step explanation:
2.5 for the hotdog.
3 for each hamburger
3.5$ for each hamburger as h
Hope this Helps!
The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
<h3>Properties of a triangle</h3>
From the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Learn more on the Properties of a triangle here: brainly.com/question/1851668
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Answer:
67.567567567568
Step-by-step explanation:
