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malfutka [58]
3 years ago
7

A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a stra

ight line to (1, 1), while a black ant leaves the anthill and moves along a straight line to (−1, −1). Next, the red ant moves to (2, 2), while the black ant moves to (−2, −2). Then the red ant moves to (3, 3), while the black ant moves to (−3, −3), and so on. Complete the explanation of why the red ant and the black ant are always the same distance from the anthill. At any given moment, the red ant's coordinates may be written as (a, a) where a > 0. The red ant's distance from the anthill is (blank) . The black ant's coordinates may be written as (−a, −a) and the black ant's distance from the anthill is (blank) . This shows that at any given moment, both ants are (blank) units from the anthill.
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:use calculator to divide the variables and use the countains as a providence

Step-by-step explanation:

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Please help with this question asap
stepladder [879]

Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared

In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well.  (180 - 90 -45 = 45)

This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.

So we can say that length of leg1 = x, and the length of leg2 also equals x

Now let's use pythagoras' theorem:

leg1 = x

leg2 = x

hypotenuse = 16

x^2 + x^2 = 16^2

      2x^2 = 16^2

      2x^2  = 256

        x^2 = 128

        x = √(128)

        x = 8√2

3 0
3 years ago
A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that
Snezhnost [94]
Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees


Hope this helps! :)
4 0
3 years ago
Find the diagonal of the rectangular solid with the given measures.
Vikki [24]

Answer:

<h2>7</h2><h2 />

Step-by-step explanation:

Diagonal = \sqrt{2^{2} +3^{2}+6^{2}  } =\sqrt{49} =7

6 0
3 years ago
PLEASE HELP!!
IRISSAK [1]

Step-by-step explanation:

a + b = 6

ab = 1 \times 5 = 5

a = 1  \:  \:  \:  \:  \:  \:  \:  \: b = 5

( {x}^{2}  + x) + (5x + 5)

x(x + 1) + 5(x + 1)

(x + 1)(x + 5)

Hope this is correct and helpful

HAVE A GOOD DAY!

8 0
3 years ago
Solve the quadratic equation numerically (using tables of x- and y- values).
cricket20 [7]

Answer:

x= -3 or x= -4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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