(-5x ⁵+14)-(11x ²+1+11x ⁵)
Like terms: -5x ⁵-11x ⁵ = -16x ⁵
Like terms also: 14-1 = 13
Simplified all together: -16x ⁵ - 11x ²+ 13
(Always put highest degree first)
Answer:
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Answer:
y = 3x + 1
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.
1 = 3(0) + b
To find b, multiply the slope and the input of x (0)
1 = 0 + b
Now, add 0 to both sides to isolate b.
1 = b
Plug this into your standard equation.
y = 3x + 1
This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)
Hope this helps!
Answer:
The measurement of AB is 16.25 units.
Step-by-step explanation:
In right triangle ABC, ∠C is a right angle, m∠A = 52° , AC = 10.01, and AB = c.
We need to find the measurement of AB.
∠C is a right angle, it means AB is hypotenuse.
In a right angle triangle,
Hence, the measurement of AB is 16.25 units.
Answer:
OD = 9.375"
Step-by-step explanation:
We can draw a line from O to B to create a triangle.
Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.
Triangle ACB, we can use pythagorean theorem to figure out CB:
AC^2 + CB^2 = AB^2
15^2 + CB^2 = 17^2
225 + CB^2 = 289
CB^2 = 64
CB = 8
Now relating the corresponding sides, we can figure out OD:
