The equation that matches the given table is
y = 10x + 40
Solution:
General equation of a line : y = mx + c
Let us find the equation of the table.
<u>Common differences of X: </u>
0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1
<u>Common differences of Y: </u>
50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10


m = 10
Substitute m = 10 in general equation of a line
y = 10x + c
To find the constant term, substitute x = 0 and y = 40.
40 = 10(0) + c
40 = 0 + c
40 = c
c = 40
Therefore the equation of a line is y = 10x + 40.
Hence the equation that matches the given table is y = 10x + 40.
3-4x=-6x^2
+6x^2=+6x^2
_____________
6x^2+3-4x=0
6x^2-4x+3=0
(-4)^2-4(6)(3)
16-72
Final Answer: -56
The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is
the Pythagoras theorem?</h3>
(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,


Therefore the ratios of sin x° and cos y° are 15/8.
To learn more about the trigonometric function visit:
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Answer:
The distributive property makes it possible
Step-by-step explanation:
Step one:
given the expression a(b + c )
the first step is to open the bracket, that is multiply all the terms in the bracket by a, so multiply b by a and c by a also.
Step two:
Thus, this property is called the distributive property of multiplication
a*b+ca
The correct statement that represents the expression is:
- An object moves towards the east (positive direction )at a distance of 56m and west (negative direction) at the same distance, the total displacement of the object is 0m
Given the expression 56 + (-56).
- We can see that this is an inverse rule where a value and its negative are added together.
Let us assume the values are distance covered by an object.
The correct statement that represents the expression is:
- An object moves towards the east (positive direction )at a distance of 56m and west (negative direction) at the same distance, the total displacement of the object is 0m
This show that 56 + (-56) = 56 - 56 = 0
Learn more on inverses here: brainly.com/question/17130744