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3 years ago

|10 - (-43)| absoulute value

2 answers:

8 0

OK so you would treat the absolute value line kind of like parentheses. First you would do the work inside then take the absolute value. In case you don't know absolute value is how far something is from zero
|10-(-43)|
|53|
53

Semenov [28]3 years ago

7 0

Since the absolute value of anything is always a positive number, you have the absolute value of 10 minus negative 43, which is really 10 + 43. You now have 53, since a double negative in math is a positive. Now youre left with |53|, and so your answer is the absolute value of positive 53, meaning your answer is 53.

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A jogger goes half a mile north and then turns west. If the jogger finishes 1.3 miles away from the starting point, how far west

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In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger.
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3 years ago

determine whether the point (2,0) is a solution to the system of equations. explain your reasoning in complete sentences. g(x)=3

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3 years ago

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Anastasy [175]

Answer:

(2, -7)

x = 2

y = -7

Step-by-step explanation:

Let's solve this system of equations by elimination.

Start by multiplying the first equation by 2:

$2(4x)+2(3y)=2(-13)\\8x+6y=-26$

Next, multiply the second equation by 3:

$3(-5x)+3(2y)=3(-24)\\-15x+6y=-72$

Notice that both equations now have a "6y", meaning we can subtract both equations and thereby eliminating the variable "y" from the equation:

$8x+6y-(-15x+6y)=-26-(-72)\\8x+6y+15x-6y=-26+72\\23x=46$

Divide both sides by 23

$x=2$

Substitute 2 for "x" to solve for "y".

$4x+3y=-13\\4(2)+3y=-13\\8+3y=-13$

Subtract 8 from both sides:

$3y=-21$

Divide both sides by 3:

$y=-7$

Therefore the answer is:

$(x, y)=(2, -7)$

Additional Comments:

Note that we can only divide, subtract, multiply, or add both sides of the equation by the same quantity due to the Division, Subtraction, Multiplication, or Addition Property of Equality. These properties state that if you divide/subtract/multiply/add one side of the equation by one quantity, you must do the same to the other side of the equation so that it remains an equation.

3 0

2 years ago