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ivann1987 [24]
3 years ago
12

The following table shows a proportional relationship between j and m.

Mathematics
1 answer:
Wewaii [24]3 years ago
7 0

Answer:

Pls attach table

Step-by-step explanation:

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Sin(x+y)-sin(x-y)/cos(x+y)+cos(x-y)=tany<br> how do i verify this?
dsp73

Answer:

Step-by-step explanation:

Numerator

sin

x

cos

y

+

cos

x

sin

y

−

[

sin

x

cos

y

−

cos

x

sin

y

)

=

sin

x

cos

y

+

cos

x

sin

y

−

sin

x

cos

y

+

cos

x

sin

y

=

2

cos

x

sin

y

Denominator

cos

x

cos

y

−

sin

x

sin

y

+

cos

x

cos

y

+

sin

x

sin

y

=

cos

x

cos

y

−

sin

x

sin

y

+

cos

x

cos

y

+

sin

x

sin

y

=

2

cos

x

cos

y

---------------------------------------------------------------

left side can now be expressed as

2

cos

x

sin

y

2

cos

x

cos

y

=

2

cos

x

sin

y

2

cos

x

cos

y

=

sin

y

cos

y

and  

sin

y

cos

y

=

tan

y

=

right side hence proved

7 0
3 years ago
Riley just opened a checking account at the bank. Within the first month, she deposited three checks for $34.98, $51.02, and $51
FromTheMoon [43]

Answer:

34.98+51.02+51.22= 137.22 as a positive number. 5.23+10.22+7.89= 23.34 Then 137.22-23.34= 113.88

So the negative number will be -23.34


Step-by-step explanation:


3 0
3 years ago
Ted brought a cooler containing 7.5 liters of water to a picnic. If 500 milliliters of water are served to each person, how many
bekas [8.4K]
Answers:
k = 13The smallest zero or root is x = -10
===============================
Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
7 0
3 years ago
Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?
Svetlanka [38]

Point K is in the 4th quadrant, then it goes into the first quadrant. So this means the rotation could be 90 degrees counterclockwise or 270 degrees clockwise.

The answer is 90 degrees counterclockwise or 270 degrees clockwise.

4 0
3 years ago
Use the graph of f(x) below to estimate the value of f '(3):
klio [65]
Well, looking at the graph, notice, its vertex is at 0,9, and it passes through the points -3,0 and 3,0, so hmm let's use 3,0, to get the equation of f(x)

\bf ~~~~~~\textit{parabola vertex form}&#10;\\\\&#10;\begin{array}{llll}&#10;\boxed{y=a(x- h)^2+ k}\\\\&#10;x=a(y- k)^2+ h&#10;\end{array}&#10;\qquad\qquad&#10;vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\&#10;-------------------------------

\bf vertex~(0,9)~&#10;\begin{cases}&#10;h=0\\&#10;k=9&#10;\end{cases}\implies y=a(x-0)^2+9&#10;\\\\\\&#10;\textit{we also know that }&#10;\begin{cases}&#10;x=3\\&#10;y=0&#10;\end{cases}\implies 0=a(3-0)^2+9&#10;\\\\\\&#10;-9=9a\implies \cfrac{-9}{9}=a\implies -1=a\quad thus\quad \boxed{y=-x^2+9}&#10;\\\\\\&#10;\left. \cfrac{dy}{dx}=-2x \right|_{x=3}\implies -6
3 0
4 years ago
Read 2 more answers
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