Answer:
Step-by-step explanation:
First, find the slope of the line for the two points.
Slope is Rise/Run.
For the two points (-8,-4) and (3,-10):
Rise (-10 - (-4)) = -6
Run (3 - ( -8)) = 11
The slope is Rise/Run or -(6/11)
The equation becomes y = -(6/11)x + b
Find b by entering either of the 2 points given. I'll use (3,-10):
y = -(6/11)x + b
-10 = -(6/11)(3) + b
b = -10 + (6/11)(3)
b = -10 +(18/11)
b = -(110/11) + (18/11)
b = -(92/11)
The equation becomes y = -(6/11)x - (92/11)
See attached graph.
Based on the information provided and the requirements to organize the students, Jon most likely has 23 students.
<h3>How many students are needed to organize them in a rectangular grid?</h3>
In general, Jon will need a number that is not prime as this type of number will not allow him to complete all the grid.
<h3>Which are possible numbers?</h3>
20 = A rectangular grid of 5 x 4 seats can be arranged
21= A rectangular grid of 7 x 3 can be arranged
22 = A rectangular grid of 2 x 11 can be arranged
23 = It is impossible to organize 23 seats in a rectangular grid without gaps
Learn more about prime numbers in: brainly.com/question/9315685
#SPJ1
Answer:
100°, 104°, 108°, 112°,116°
Step-by-step explanation:
Let the smallest angle be 
. Since, the interior angles are consecutive, the other angles are 
,
,
and 
.
Sum of interior angles = 540°
°
°
°
°
°
Using the value of x to calculate the angles:
°
°
°
°
°
Hello!
To find surface area, all you need to do is add up the areas of all the faces of the prism. Let’s start by remembering some basic area formulas:
Area of a triangle= 1/2*base*height
Area of a rectangle= length*width
First, find the area of each of the little triangles on the sides of the net. The base is 3 ft, and the height is 4 ft. So:
1/2*3*4= 6 ft
There are two triangles of the same size, so multiply that number by 2.
6*2=12
Now, find the area of the top rectangle:
3*8= 24
And the area of the bottom rectangle:
5*8= 40
Finally, add all of those numbers together:
12+24+40= 76 ft^2
That should be your answer!
(2 - 3i) + ( x + yi) = 6
(x + yi) = 6 - (2 - 3i)
Distribute the - to the 2 - 3i and get
x + yi = 6 - 2 + 3i
Accumulate like terms.
x + yi = 4 + 3i. Answer
