Answer:
(a) 6
(b) 12
(c) 18
(d) The ratios are all equal.
Step-by-step explanation:
I assume that -5 goes with -11, -4 goes with -5, -3 goes with 1, etc.
(a) Look at the points (0, 19) and (1, 25). The inputs are 0 and 1, so the inputs are 1 unit apart since 1 - 0 = 1. Now look at the outputs. They are 19 and 25, and 25 - 19 = 6. The difference of outputs is 6 for a difference of inputs of 1.
(b) Look at points (0, 19) and (2, 31). The inputs are 2 units apart since 2 - 0 = 2. The outputs are 12 units apart since 31 - 19 = 12.
(c) Look at points (0, 19) and (3, 37). The inputs are 3 units apart since 3 - 0 = 0. The outputs are 18 units apart since 37 - 19 = 18.
(d) In part (a), with inputs 1 unit apart, the ratio of output difference to input difference was 6/1. In part (b), with inputs 2 units apart, the ratio of output difference to input difference was 12/2 which is the same as 6/1. In part (c), with inputs 3 units apart, the ratio of output difference to input difference was 18/3 which is the same as 6/1. The ratios are all equal.
Answer:
to write 360/10 as a decimal I would simplify 36/10 by 2 getting me 18/5. Then I would divide 18/5 using long division getting me 3.6.
Step-by-step explanation:
A. integers, c. integers rationals, and d. integers rationals reals. it would not be a natural number, because a natural number is a positive number (and sometimes 0)
The value of x in the given diagram is 10
<h3>Similar triangles </h3>
From the question, we are to determine the value of the side labeled x
First, we will find the value of side |BC|
By the <em>Pythagorean theorem</em>, we can write that
|BC|² = 12² + 16²
|BC|² = 144 + 256
|BC|² = 400
|BC| = √400
|BC| = 20
Now,
Since ΔABC and ΔDEF are similar, we can write that
|BC| / |EF| = P ΔABC / P ΔDEF
But,
P ΔABC = 12 + 16 + 20 = 48
Thus,
|BC| / |EF| = P ΔABC / P ΔDEF becomes
20/ |EF| = 48/24
20/x = 2
x = 20/2
x = 10
Hence, the value of x in the given diagram is 10
Learn more on Similar triangles here: brainly.com/question/24085502
#SPJ1
Answer:
-4
Step-by-step explanation:
