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Taya2010 [7]
2 years ago
13

Points (3,1) and (1,4) lie on line k. What is the slope of the line that is perpendicular to k?

Mathematics
1 answer:
denis-greek [22]2 years ago
6 0
First we need to find the slope of line k.  Using the slope formula, we fill in accordingly: m= \frac{4-1}{1-3}.  The slope is -3/2.  The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3).  You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals.  The slope you're looking for is 2/3.  Choice 3 above.
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La suma de dos número impares consecutivos es 100 . hallar la suma de cifras del mayor<br> numero
gtnhenbr [62]
<h2><u>solución</u></h2>

deja que los números sean x, and x + 2

sabemos que su suma es igual a 100, entonces

  • x + x + 2 = 100

  • 2x = 100 - 2

  • 2x = 98

  • x = 98 ÷ 2

  • x = 49

por lo tanto, el primer número es 49

y el segundo número es x + 2 = 49 + 2 = 51 (también es el mayor entre los dos números)

entonces suma de dígitos de mayor número = 5 + 1 = 6

Respuesta correcta de la pregunta anterior = 6

5 0
3 years ago
Is (5,6.5) a solution to y= -1/2x + 9?
Jlenok [28]
6.5 = - 1/2(5) + 9

6.5 = - 2.5 + 9 which is the same as 6.5 = 9 - 2.5

6.5 = 6.5

So yes, this ordered pair IS a solution. 
3 0
3 years ago
Grace is filling up a sink with water.
Alex_Xolod [135]
Quarts-would be the correct answer <span />
3 0
3 years ago
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Window design. A triangular window on Ross camp's new scary boat has two sides that measure 87 centimeters 64 centimeter, respec
krek1111 [17]
Since the perimeter must not exceed 291.
Let the third side be x.

x + 87 + 64  < 291
x + 151 < 291.
x            < 291 -151.
x   <  140.      (First)

But for a triangle there is what is called the Triangle Inequality Theorem.  That given  the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.

So for this case.   87 and 64.

x  > ( 87 - 64).    x  > 23.
x < (87 + 64)      x  <  151. Combine both inequalities.

       23  < x < 151  (second).

Combining First and second. Both must be satisfied.
So we have  a more accurate answer as:


23 < x < 140.      x is greater than 23 and x is less than 140.

x  could be    24, 25, 26, 27, ......, 139.  cm.

I hope this helps.
3 0
3 years ago
Read 2 more answers
Calculating the Measures of Interior Angles of a Triangle
Lubov Fominskaja [6]
Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

6 0
2 years ago
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