Answer: <em>40.5</em>
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Step-by-step explanation: If it help please thanks me!
Answer:
C) (-4, 2)
Step-by-step explanation:
It is easier to begin by putting the y equation back into the x equation so it would be rewritten as:
x= 2 (-2x - 6) - 8
Since you replace the y for the given y value
Distribute and you get
x = -4x -12 -8
Add 4x to both sides to get rid of it on the right and balance the equation
5x = -12-8 which is -20
5x = -20
divide by 5 gives you the value -4 for the x
Now simply put that value in for the y equation
y= (-2 (-4)) -6
y = 8 - 6
y = 2
Answer:
10 miles
Step-by-step explanation:
This is a right triangle. This is know because of the little square in the corner that indicates a right angle. Therefore, the Pythagorean Theorem can be used.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
In this triangle, 24 and x are the legs, because they form the right angle. 26 is the hypotenuse because it is opposite the right angle.
x^2+24^2=26^2
Evaluate the exponents
x^2+576=676
Now, solve for x. First, move 576 to the other side of the equation by subtracting 576 from both sides.
x^2+576-576=676-576
x^2=100
Now, x is being squared. Take the square root of both sides.
√x^2=√100
x=√100
x=10
Use appropriate units
x=10 miles
The missing side length is 10 miles.
Answer:
The slope of the line that models this relationship is 0.50 US dollars per soda.
Step-by-step explanation:
At first we suppose the existence of a linear relationship between total cost (
), measured in US dollars, and the number of sodas (
), measured in sodas, that is:
(1)
If we know that 
and 
, then the slop of the line is:
The slope of the line that models this relationship is 0.50 US dollars per soda.
