The slope (-8) of the linear equation that is represented by the table, is the amount Austin pays each week, which is $8.
<h3>What is the Slope of a Linear Equation?</h3>
A linear equation which is given as y = mx + b, has a slope value which represents the change in y over a change in x and is given by the value of m in the linear equation.
If a table is said to represent a linear equation, the slope of the linear equation, which can also be called the unit rate, can be found by using two pairs of values from the table to calculate the change in y over the change in x.
Given that the table above represents a linear equation where L is dependent on the value of t, it means that slope of the linear equation represents the amount Austin paid back each week.
Find the slope using two points, (2, 24) and (4, 8):
Slope (m) = (24 - 8) / (2 - 4)
m = 16/-2
m = -8
Therefore, this means that Austin pays $8 every week.
Learn more about the linear equation on:
brainly.com/question/2030026
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Answer:
<em>The speed of the plane in still air is 590 mph</em>
<em>The speed of the wind is 20 mph</em>
Step-by-step explanation:
Let's call:
x = Speed of the plane in still air
y = Speed of the wind
The plane traveled d=4575 miles with the wind in t=7.5 h. The speed calculated with this data corresponds to the sum of the speed of the plane and the speed of the wind, thus:
x + y = 610 [1]
The plane traveled 4275 miles in 7.5 hours against the wind, thus the speed calculated is x - y:
x - y = 570 [2]
Adding [1] and [2]:
2x = 610 + 570 = 1180
x = 1180 / 2 = 590
From [1]:
y = 610 - 590 = 20
The speed of the plane in still air is 590 mph
The speed of the wind is 20 mph
Answer:
(a) SV/VW
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides in a right triangle. This problem also makes use of the properties of similar triangles:
- corresponding sides are proportional
- corresponding angles are congruent
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<h3>sine ratio</h3>
The sine of angle U is given by ...
Sin = Opposite/Hypotenuse
The side opposite angle U in ΔTUS is ST. The hypotenuse of that right triangle is side TU. This means the desired ratio is ...
sin(U) = Opposite/Hypotenuse = ST/TU
<h3>corresponding ratio</h3>
In similar ΔVWS, angle W has the same measure as angle U. Its sine will be the ratio of the corresponding sides. The similarity statement ΔTUS~ΔVWS tells you that the side corresponding to ST is SV, and the side corresponding to TU is VW.
sin(U) = sin(W) = SV/VW
I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%
I am very sorry if this is wrong in anyway!
We have to identify the statement about the plane which is not true.
1. Consider the first statement,
" A plane can be thought of as flat". It is true as plane is a flat surface.
2. Consider the second statement,
"The surface of a plane is made up of points". It is true as plane is a flat surface which is made up of points.
3. Consider the third statement,
"A plane can be seen". It is not true as plane is a flat surface which can not be seen.
4. Consider the fourth statement,
"A plane extends infinitely in all directions". It is true as plane is a flat surface that extends infinitely along its edges.
