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Elden [556K]
3 years ago
14

The sum of three numbers is 52. The difference of the largest and the smallest is 48, and the sum of the two smaller numbers is

11, Find the numbers.
Mathematics
2 answers:
geniusboy [140]3 years ago
6 0

Answer:

41,  -7,  18

Step-by-step explanation:

Let a = smallest number

b = second number

c = largest number

Then  a + b +c = 52       c - a = 48        a + b = 11

11 + c = 52

c = 41       41 - a = 48

                      -a = 6

                       a = -7                         -7 + b = 11

                                                                b = 18

stealth61 [152]3 years ago
3 0

Answer:

a=-7

b=18

c=41

Step-by-step explanation:

a+b+c=52

c-a=48

a+b=11

11+48=59

a+59=52

a=-7

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A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

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First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



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