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kicyunya [14]
2 years ago
13

Find an equation of the line containing (-3,4) and having slope -2. If this line contains the points (a,8) and (5,b), find a and

b.
PLEASE HELPPPPPP ANYBODY??? IT IS DUE TODAY!!!
Mathematics
1 answer:
larisa [96]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

The slope intercept line is written as y = mx + b in it's general form.

You can get the slope, m, immediately because it is given as -2

So far what you have is y = -2x + b

y intercept

To get the y intercept, use the point (-3 , 4)

x = - 3

y = 4

4 = -2*(-3) + b

4 = 6 + b                 Subtract 6 from both sides

4 - 6 = 6-6 + b

b = - 2

Line

y = -2x - 2

(a,8)

y = -2a - 2

8 = -2a - 2              Add 2 to both sides

8 +2 = -2a -2+2     Combine

10 = - 2a                 Divide by - 2

10/-2 = a

a = -5

(5,b)

y = -2x - 2

x = 5

y = b

b = -2*5 - 2

b = -10 - 2

b = - 12

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A tea that is 22% jasmine is blended with a tea that is 13% jasmine. How many pounds of the 22% jasmine tea are used to make 10l
tatiyna

Given

A tea that is 22% jasmine is blended with a tea that is 13% jasmine

Find out the how  many pounds of the 22% jasmine tea are used to make 10lb of tea that is 19.3% jasmine.

To proof

Let us assume that the a tea that is 22% jasmine is blended = a

Let us assume that the a tea that is 13% jasmine is blended = b

Total amount of tea made = 10lb

the equation be

a + b = 10

as given

jasmine tea are used to make 10lb of tea that is 19.3% jasmine.

write 22%  in the decimal form

= \frac{22}{100}

= 0.22

write 13%  in the decimal form

=\frac{13}{100}

= 0.13

write 19.3%  in the decimal form

=\frac{19.3}{100}

= 0.193

than the equation be

0.22a + 0.13b = 0.193 × 10

on simplify

22a + 13b = 193

two equation becomes

22a + 13b = 193 and a + b = 10

multiply a + b = 10 by 13 and subtracted from the 22a + 13b = 193

we get

22a - 13a + 13b -13b = 193 - 130

9a = 63

a = 7lb

put this value in the a + b = 10

we get

7 + b = 10

b = 3lb

Therefore the 22% jasmine tea are used to make 10lb of tea that is 19.3% jasmine is 7 lb .

Hence proved


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