Simplify: 5 1/2 - 2 1/4 1 3/4 + 1 1/2

1 answer:

5 0

A) 5 1/2 - 2 1/4
5-2 = 3
1/2 - 1/4 = 1/4
Final Answer: 3 1/4 or in decimal 3.25

B) 13/4 + 11/2
35/4 = 8 3/4
Final Answer: 8 3/4 or in decimal 8.75

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Write an equation perpendicular to the line y = 3x + 5 through the point (6, -5). State your answer as y=mx+b.

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Answer:

y=(-1/3) x - 3

Step-by-step explanation:

A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3. Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6). Distribute the -1/3 and get y+5= -1/3 x+ 2. Subtract 5 from both sides and get y=-1/3 x - 3

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Solve the system. y= -2x + 1 y= 2x - 3

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Equation 1: y = -2x + 1

Equation 2: y = 2x - 3

Since both equations already have y isolated, we are able to simply set the right side of both equations equal to each other. Since we know that the value of y must be the same, we can do this.

-2x + 1 = 2x - 3

1 = 4x - 3

4 = 4x

x = 1

Then, we need to plug our value of x back into either of the original two equations and solve for y. I will be plugging x back into equation 2 above.

y = 2x - 3

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y = 2 - 3

y = -1

Hope this helps!! :)

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3 years ago

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You are to take a multiple-choice exam consisting of 100 questions with 5 possible responses to each question. Suppose that you

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Answer:

Step-by-step explanation:

This is a binomial distribution

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3 years ago

Eight times the sum of 8 and some number is 17. What is the number?

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Edited answer: The number is: "- 6" .
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8 (8 + x) = 16 ;

in which "x" represents the number for which to be solved ;

8*8 + 8*x = 16 .

Edit: 64 + 8x = 16 ;

Subtract "64" from each side of the equation:

Edit: 64 + 8x − 64 = 16 − 64 ;

to get: 8x = - 48 ;

Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the equation ; and to solve for "x" ;

Edit: 8x / 8 = -48 / 8 ;

Edit: x = - 6 .
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The number is: "- 6" .
______________________________________________
Let us check our answer, by plugging in "-6" for "x" in the original equation:
______________________________________________
8 (8 + x) = 16 ;

→ 8 [8 + (-6) ] =? 16 ?? ;

→ 8 (8 − 6 ) =? 16 ?? ;

→ 8 (2) =? 16 ?? ;

→ 16 = ? 16 ?? Yes!
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Snezhnost [94]

Answer:

A=25 (Rounded)

Step-by-step explanation:

The first step is to find the length of BA which is the base, then you have the find the length of CD, the hight.

To find the distance, you need to use the distance formula which is

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$ (It does not matter if A is x1 or is B is x1, it just has to remain consistent)