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densk [106]
3 years ago
6

Find the two numbers whose sum is 54 and whose difference is 4

Mathematics
2 answers:
Sholpan [36]3 years ago
7 0

Answer:

27, 29

Step-by-step explanation:

54/2 =27

27-2= 25

27 +2=29

25 + 29 = 54

29 - 25 = 4

galina1969 [7]3 years ago
4 0

Answer:

25 and 29

Step-by-step explanation:

25 + 29 = 54 and there is a difference of 4 between them

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The shaded region in the graph represents the solutions of this system of linear inequalities:
kotegsom [21]

Answer:

y

y\leq 2x+3

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

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m=(11-3)/(4-0)\\m=8/4=2

The equation of the solid line in slope intercept form is equal to

y=mx+b

we have

m=2

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substitute

y=2x+3

therefore

The inequality is

y\leq 2x+3

step 2

Find the equation of the dashed line

The slope is given

m=4

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

y=mx+b    

we have

m=4

b=-5

substitute

y=4x-5

therefore

The inequality is

y

because the shaded region is below the dashed line

therefore

The system of inequalities is

y

y\leq 2x+3

8 0
3 years ago
If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.
nexus9112 [7]

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

<h3>Right angled triangle</h3>

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: brainly.com/question/22790996

#SPJ1

6 0
2 years ago
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