Answer: 
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Work Shown:
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Explanation:
The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.
Then factor out y and divide both sides by (8x-2)
Afterward there's the optional steps of simplifying (as shown in the final two steps).
Answer:
Since it took Juan 16 hours to wrap 2 presents, it will take Juan 32 hours.
1 present- 8 hours
2 present- 16 hours
3 present- 24 hours
4 present- 32 hours
1 3/6 + 4/6 = 1 7/6 = 2 1/6
Here are the basic rules for a right triangle:
One angle is always 90° or right angle.
The side opposite angle 90° is the hypotenuse.
The hypotenuse is always the longest side.
The sum of the other two interior angles is equal to 90°.
The other two sides adjacent to the right angle are called base and perpendicular.
a quick way to find angle 1, is just to look at the figure. there seems to be bisecting angles, so angle FCE and angle 1 are congruent. (meaning angle 1 is also 34 degrees)
hope this helps! lmk.
answer:
y = 2x - 5
work:
to write equations, we use the format y = mx + b.
m stands for the slope, and b stands for the y intercept.
this means that you should be able to enter the values for y and x and get a valid equation as a result.
in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.
so, let's substitute in the values of y and x and the slope,
and solve for b, the y intercept.
1 = 2(3) + b (multiply 2 x 3)
1 = 6 + b (subtract 6 from both sides)
- 5 = b
b has a value of -5. let's place this into the equation.
y = 2x - 5.
the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.
1 = 2(3) - 5
1 = 6 - 5
1 = 1
so, this equation is correct. hope this helps and have a great day!
