Answer:
The equation of the line in slope-intercept form is:
y = x + 4
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the points on the line graph
Determining the slope between (0, 4) and (1, 5)
(x₁, y₁) = (0, 4)
(x₂, y₂) = (1, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 4] / [1 - 0]
= 1 / 1
= 1
Thus, the slope of the line = m = 1
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 1 in the slope-intercept form
y = mx + b
y = (1)x + 4
y = x + 4
Therefore, the the equation of the line in slope-intercept form is:
y = x + 4
Using the combination formula, it is found that there are 84 ways to choose the three tiles.
The order in which the tiles are chosen is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem, three tiles are chosen from a set of nine, hence:
There are 84 ways to choose the three tiles.
More can be learned about the combination formula at brainly.com/question/25821700
Hi there!
Here are all the steps into simplifying this expression :
<u>(4 × 2)</u> + 15x + 49
Do the multiplication first → 4 × 2 = 8
<u>8</u> + 15x + <u>49</u>
Add the similar terms together → 8 + 49 = 57
15x + 57
Since there are no longer similar terms, the expression can not be simplified anymore and you are left with this expression as an answer :
15x + 57
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
3) 146 degrees
4) 471 degrees
5) x = 100 and 3x = 300
Step-by-step explanation:
all three are polygons whose sum of all interior angles can be found by using the formula (n - 2)*180 where 'n' refers to the number of sides
In #3 and 5 there are 5 sides, so (5 - 2)*180 = 3(180) giving a total of 540 degrees. Add all known angles and deduct from 540.
#4 has 7 sides, so (7 - 2)*180 = 1260 degrees. Add all known angles and deduct sum from 1260.
#5 Add all integers plus 'x' + '2x' to get 240 + 3x = 540
A=r^2pi is the area of a circle
