Pythagorean theorem formula is a^2 + b^2 = c^2
7^2 + 11^2 = 170
You will get the value of c by square-rooting 170
Therefore, the answer is √170
Answer:
3.11
Step-by-step explanation:
f(4)=f(4-1)+2
=f(3)+2
=f(3-1)+2+2
=f(2)+4
=f(2-1)+2+4
=f(1)+6
=5+6 (f(1)=5)
=11
Answer:
8:9 = eight to nine
Step-by-step explanation:
16:18 - divide each by 2 in order to simplify
= 8:9
Answer and Step-by-step explanation: <u>Standard</u> <u>form</u> of a quadratic equation is expressed as: y=ax²+bx+c, while <u>vertex</u> <u>form</u> is written as:
y=a(x-h)²+k.
The similarities between standard and vertex forms is that they show if the graph of the equation has a <u>minimum</u> (when a>0) or <u>maximum</u> (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.
The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.
The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.
<h3>
Answer: f( h(x) ) = 2x - 4</h3>
Work Shown:
f(x) = x - 7
f( h(x) ) = h(x) - 7
f( h(x) ) = 2x+3 - 7
f( h(x) ) = 2x - 4
Explanation:
In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.
