Answer:
y = -8x
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is -8.
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
16 = -8(-2) + b
Let's simplify this to find b.
[multiply] 16 = 16 + b
[subtract 16] 0 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = -8x
This is your equation.
Check this by plugging in the point again.
16 = -8(-2)
[multiply] 16 = 16
This expression is true; therefore, your answer is correct.
Hope this helps!
Answer: 5 gallons
Step-by-step explanation:
200 divided by 30 = 6.6 gallons
200 - 50 = 150 miles left to their destination
They would need 5 more gallons of gas for the remainder of their trip.
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4x² + 43 = 120
4x² = 120 - 43
4x² = 77
x² = 77/4
x² = 19.25
x = ±√19.25
x = ±4.39
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The solutions are ±4.39</span>
Answer: 25° and 65°
Step-by-step explanation:
Let the smaller angle of the complementary angle be represented by x.
Since the other angle is 15 degree more than two times the other angle, this will be:
= (2 × x) + 15°
= 2x + 15°.
Then we add both angles together and equate them to 90° and this will be:
x + 2x + 15° = 90°
3x + 15° = 90°
3x = 90° - 15°
3x = 75°
x = 75°/3
x = 25°
Then the other angle will be:
= 2x + 15°
= (2 × 25°) + 15°
= 50° + 15°
= 65°
Therefore, the angles are 25° and 65°.
