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Hatshy [7]
2 years ago
7

What equation do I write for a line that has a y intercept of 2 and is perpendicular to y=2/3x+4?

Mathematics
1 answer:
ser-zykov [4K]2 years ago
5 0

Answer:

y = -3/2x + 2

Step-by-step explanation:

The equation has the format  y = mx + b  where  m  is the slope and  b  is the y-intercept.

The question gives you the y-intercept, so  b = 2.

As for the slope, you need the fact that perpendicular lines have slopes that are opposite ("negative") reciprocals of each other.

The slope of the line given in the question is 2/3.  The opposite reciprocal of 2/3  is  - 3/2.

The equation for the line is  y = -3/2x + 2

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Find all values of x that make the triangles congruent. Explain your reasoning.
RSB [31]

Answer:

x = \frac{4}{5},5

Step-by-step explanation:

If both the triangles ΔABC and ΔBCD are congruent,

Corresponding sides of both the triangles will be proportional.

\frac{AB}{BD}=\frac{AC}{CD}

\frac{5x}{3x+10}=\frac{5x-2}{4x+3}

5x(4x + 3) = (5x - 2)(3x + 10)

20x² + 15x = 15x² + 50x - 6x - 20

20x² + 15x = 15x² + 44x - 20

20x² - 15x² = 44x - 15x - 20

5x² = 29x - 20

5x² - 29x + 20 = 0

5x² - 25x - 4x + 20 = 0

5x(x - 5) - 4(x - 5) = 0

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3 0
3 years ago
The box plots represent the distributions of typing speeds of students before and after a computer-programming course.
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So the last one

4 0
3 years ago
PLEASE HELP 25PT
Bess [88]
Hi


1.If Mrs.Walters drives 360 miles on 25 gallons of gas , she drives 14.4 miles on 1 gallon of gas .

Work; I made a proportion , but you can just divide 360 and 25 .
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If Mr.Walters drives 480 miles on 32 gallons of gas , he drives 15.06 miles on 1 gallon of gas .
 x=15.06 miles
2. Mr.Walter because he drives more miles with a gallon .
Work; 15.06 miles is greater than 14.4 miles.

Hope it helps and have a wonderful day.
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3 years ago
What is p(less than 2)​
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