Answer:
Step-by-step explanation:
<u>Use the equation of circumference and substitute the value of radius:</u>
<u>Compare the answer choices to find the correct one, which is:</u>
To find the x intercepts, we need to put the standard form equation into factored form.
Which two numbers multiply to -8 and add to -2?
So the factored form is
That means the x intercepts are at 
So now we have the x intercepts.
To find the vertex, we need to convert the standard form equation into vertex form.
The formula of vertex form is 
Since the a value in the standard form equation is 1, the a value in vertex form is also one.
The h value can be found using the formula 
Which comes out to 
or 1.
To find the k value, we can just plug in what we got for h back into the equation.
So the vertex is 
.
This also means the axis of symmetry is 
Finally, to find the y intercept, we plug in 0 for x and solve.
So the y intercept is 
.
Answer:Learn how to write a proportional equation y=kx where k is the so-called "constant of proportionality".
Step-by-step explanation:
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/equations-of-proportional-relationships#:~:text=Learn%20how%20to%20write%20a,called%20%22constant%20of%20proportionality%22.
Answer:
Polynom degree: 5
Y intercept point: (0, 80)
Step-by-step explanation:
P(x)=(x+5)(x+4)²(x+1)²
When you expand, the highest power of x is 1 for first term (x+5), 2 for second term (x+4)² and again 2 for (x+1)². Overall, x⁵ will be the x term with highest power. So the degree of the polynom is 5.
The y intercept, i.e. intersection with OY axis, happens for x=0. Thus, P(0)=5×4²×1²=5×16=80. The y intercept point is (0, 80)
Answer: The width of the leftover brass is 17 inches.
Step-by-step explanation:
Hi, to answer this question, first, we have to add the width of the pieces cut.
Mathematically speaking:
8 in +8 in = 16 in
Now, we have to subtract that result to the width of the sheet of brass.
33 in -16 in = 17 in
The width of the leftover brass is 17 inches.
Feel free to ask for more if needed or if you did not understand something.
