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Rus_ich [418]
2 years ago
11

Plzz help pythagorean theorem geometry

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
6 0
49^2 or 7 I just know from 6th grade
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Equation of a line, in general form, that is perpendicular to 2x-3y + 7 = 0 and passes through the point (-3/4, 1)
TEA [102]

Answer:

  12x +8y +1 = 0

Step-by-step explanation:

You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:

  3(x-(-3/4)) +2(y -1) = 0

  3x +9/4 +2y -2 = 0 . . . . eliminate parentheses

  3x +2y +1/4 = 0 . . . . . . . simplify

To eliminate the fraction, multiply by 4:

  12x +8y +1 = 0

_____

<em>Comment on the equation</em>

The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.

The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.

4 0
3 years ago
The amount of money Mr. Brust made this summer was equal to the $55 he started with and the $15 for every lawn he mowed while st
earnstyle [38]

Let's start by declaring our varibles.

x = number of lawns Mr. Brust mowed

y = total amount of money Mr. Brust made

Let's create our equation.

y = 15x + 55

For part b, we can plug 800 in for y.

800 = 15x + 55

Subtract 55 from both sides.

745 = 15x

Divide both sides by 15

50 = x. Note, I rounded the answer to the nearest integer.

For part c, we can plug 13 in for x.

y = 15(13) + 55

Simplify the right side of the equation.

y = 250

8 0
2 years ago
What is the surface area, in square inches, of the container?
Harman [31]

Answer:

62 inches

Step-by-step explanation:

7 0
3 years ago
Ron is five years older than twice his cousin pats age. the sum of their ages is less than 35. what is the greatest age that pat
Olenka [21]
I hope this helps you

8 0
3 years ago
A 21- pound turkey was cooked for a small banquet. The caterer figures they will discard 6 pounds of bone and that each person w
salantis [7]

Answer:

25 people

Step-by-step explanation:

(21 - 6) / 0.6

21 pound turkey, take away 6

Divide up the remaining number (15) by 0.6 which equals 25

5 0
2 years ago
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