Answer:
yes
Step-by-step explanation:
There are several ways to go at this.
My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.
Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.
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You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.
(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0
The value of h(5) is zero, so x-5 is a factor of h(x).
Answer:
It is the secon option ∆TRS ≈ ∆TPQ ; SAS
Step-by-step explanation: angle t is equal to angle t because it is the same angle
line TR divided by line TP is equal to line TS divided by TQ
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Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as
Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:
but h = 2r
Hence we have
We can divide the two volumes to get a constant that links them together
this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3
Answer: Y=-1 or Y=-1+4
Step-by-step explanation:
<h3>Use the formula y2- y1 over x2-x1 so it should look like this 1-3 over 3-1 which is -2 over 2 then you divide that which is -1 and if you have to find one all you have to do is use one point label which is x and y so I pick (1,3) so you put 3=-1(1) once you have that you multipy so -1 times 1 is -1 so your gonna add 1 to the -1 and the three the -1 cancel out because it is a zero pair 3+1 is 4 so B=4 </h3>
