Evaluate x+y when x=13 and y=−74. Write your answer as a fractionin simplest form

Mathematics

1 answer:

Fofino [41]2 years ago

6 0

The value of the expression is -35.

Step-by-step explanation:

Consider the provided expression.

3x + y 

We need to find the value of the expression for x=13 and y=−74 .

Substitute the value of x=13 and y=−74 in the above expression as shown:

3 (13) + (-74)

39 - 74 

-35

 the value of the expression is -35.

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from point a leah walked 40 yards south, 60 yards west, 10 yards north, and 20 yards east to point b. what is the length, in yar

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Let's say $A = (0, 0)$ . Let's find point $B$ so that we can find $\overline{AB}$ .

Leah walks 40 yards south. $B = (0, 0 - 40) = (0, -40)$
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Leah walks 10 yards north. $B = (-60, -40 + 10) = (-60, -30)$
Leah walks 20 yards east. $B = (-60 + 20, -30) = (-40, -30)$

We have found that $B = (-40, -30)$ .

Now think about this scenario visually. We started at the center of something, which we call point $A$ , and then started moving around until we got to point $B$ . We can then form line $\overline{AB}$ between the points. However, realize that we can actually make a triangle. Just think of one of the legs as part of the x-axis and the other leg as part of the y-axis.

We can find the length of these parts, which is simply the absolute value of the coordinates of point $B$ . It may be a little hard to think about, but essentially, we can form a triangle with sides that consist of part of the x-axis, part of the y-axis, and $\overline{AB}$ . We also know that the lengths of the legs are 40 and 30.

Since we are given the two lengths of the legs on the triangle and trying to find the length of the hypotenuse, we can use the Pythagorean Theorem. This states:

$a^2 + b^2 = c^2$