Answer:
given ,
Also ,
substituting the value of x in the value of ZH , we get
hope helpful~
Step 1:
Let x equal the repeating decimal you are trying to convert to a fraction
Step 2:
Examine the repeating decimal to find the repeating digit(s)
Step 3:
Place the repeating digit(s) to the left of the decimal point
Step 4:
Place the repeating digit(s) to the right of the decimal point
5) Subtract the left sides of the two equations.Then, subtract the right sides of the two equations<span>
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A. x intercepts are where the graph hits the x axis or where f(x)=0
0=2x^2-x-10
solve
hmm
we can use the ac method
multiply 2 and -10 to get -20
what 2 numbers muliply to get -20 and add to get -1 (the coefint of the x term)
-5 and 4
split the midd into that
0=2x^2+4x-5x-10
group
0=(2x^2+4x)+(-5x-10)
factor
0=2x(x+2)-5(x+2)
undistribute
0=(x+2)(2x-5)
set each to 0
0=x+2
0=-2
0=2x-5
5=2x
5/2=x
x intercepts are at x=-2 and 5/2 or the points (-2,0) and (5/2,0)
B. ok, so for f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
if a<0 then the parabola opens down and the vertex is a max
f(x)=2x^2-x-10
2>0
opoens up
vertex is minimum
ok, the vertex
the x value of the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a)) so
given
f(x)=2x^2-x-10
a=2
b=-1
-b/2a=-(-1)/(2*2)=1/4
f(1/4)=2(1/4)^2-(1/4)-10
f(1/4)=2(1/16)-1/4-10
f(1/4)=1/8-1/4-10
f(1/4)=1/8-2/8-80/8
f(1/4)=-81/8
so the vertex is (1/4,-81/8) or (0.25,-10.125)
C. graph the x intercepts and the vertex
the vertex is min and the graph goes through the x intercepts
Answer:
A. 264
Step-by-step explanation:
First, we have to find the value of x. Then we can use that to find the required arc measure.
∠M = (1/2)(arc KN - arc LN)
60 = (1/2)((18x -6) -(5x +17)) = (1/2)(13x -23) . . . . substitute and simplify
120 = 13x -23 . . . . . . . multiply by 2
143 = 13x . . . . . . . . . . add 23
11 = x . . . . . . . . . . . . . . divide by 13
__
arc KNL = (arc KN) + (arc NL) = (18x -6) +(5x +17) = 23x +11
= 23·11 +11
arc KNL = 264 . . . . degrees
Answer:
1) -2.13
2) 2.57
3) 33
Step-by-step explanation:
1)
3(8 + 5h) = -28 Distribute the 3
24 + 15h = -28 Subtract 24 from both sides of the equation
15h = -32 Divide both sides by 15 and round
h = - 2.13
2)
19 = 7(3n - 5) Distribute the 7
19 = 21n - 35 Add 35 to both sides of the equation
54 = 21n Divide both sides of the equation by 21
2.57 = n
3)
6s - 7s = -33 Combine the s's
-s = -33 Multiply both sides by -1
s = 33
