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RoseWind [281]
3 years ago
10

Cars lose value the farther they are driven. A random sample of

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Complete Question

which on these linear equations best describe the given model

The description and diagram of the model is shown on the first uploaded image

Answer:

 The linear equation is y  =  -\frac{1}{4}x + 40

Step-by-step explanation:

Generally a linear equation is mathematically represented as

       y  = mx+c

m is the slope which   can be obtained from the graph diagram as

             s =  \frac{30 -20}{80 -40}

             s =  \frac{1}{4}

Now this slope is a negative slope as seen from the diagram so

        s =-\frac{1}{4}

The intercept is  40 as seen from the graph

So the linear equation is

        y  =  -\frac{1}{4}x + 40

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Hope it helps!

Step-by-step explanation:

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(cosA+cosB)²+(sinA+sinB)²=4cos²(A-B/2)​
Sedbober [7]
Solution:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]

=
=
=$RHS$
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=
••••



diavinad8 and 60 more users found this answer helpful


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