Hello from MrBillDoesMath!
Answer: The relationship is linear. The equation is y = 2x + 19
Discussion:
When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....
So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,
(change in y) / (change in x) = 4/2 = 2 = slope of line.
so y = 2x + b. As the line passes through the point ( -7, 5)
5 = 2 (-7) + b or
5 = -14 + b or ( adding 14 to both sides)
5 + 14 = 19 = b.
Hence the equitation the line is y = 2x + 19
Thank you,
MrB
Firstly, found out a square that is 7cm long and 5cm wide, you get the 7 from adding 5+2 across the top. Don't forget that, 2cm = 5m so you get the real area we need to work out how many meters are in each length.
So, firstly you know that in 1 cm there is 2.5m, with this information you can then do 7x2.5 to get the distance across the top in meters. That gives you 17.5 megers for the top and 5x2.5 = 12.5m.
After finding that, you have to find the area of this square, so you do 17.5m x 12.5m = 218.75m^2 for the biggest square, that's the total area however we want the bedroom area.
Therefore we have to workout how much area is in the living room and take that away from the total amount. Since we found out how many meters are in the 5cm we can use that here again. 12.5m x 12.5m = 156.25m^2 with this we do 218.75m^2 - 156.25m^2 = 62.5m^2 is for the bedroom and small empty space. now we just need to find the small empty space.
To do that, we do 5-4 which leave us with 1 cm and we already know it's across length is 2, with the information provided and stated we know that it's 2.5m x 5m = 12.5m^2
Then finally we do 62.5m^2 - 12.5m^2 to get the bedroom area. <u>50m^2</u>
To solve part a, do the following.
49.84-44.50=<span>5.34
5.34/44.50=x/100
after solving the proportion, x would be equal to 12.
To solve part b, do the following.
50+12=62
</span>To solve part c, do the following.
The amount of the tip is:
x/<span>57.50=62/100
which is </span><span>35.65
The total bill is:
35.65+</span>57.50=<span>93.15</span>
Answer:
x = 6
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular end and l is its length )
A = 
bh = 0.5 × 9 × 4 = 18 cm² , then
V = 18 × 12 = 216 cm³
The volume of a cube is
V = s³ ( s is the side length ) , so
s³ = x³ = 216 ( take the cube root of both sides )
x = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
Answer:
Step-by-step explanation:
The letters are virtually impossible to read. I'll do my best, but recognize it is why you are not getting answers. I take y to be next to the 100 degree angle and part of the triangle.
I take x to be to the left of y. It is equal to the 28o angle because of the tranversal properties.
Finally z is the exterior angle of the triangle and as such has properties of z = y + 28 where y and 28 are remote interior angles to the triangle.
so x = 28 because of the transversal cutting the two parallel lines. They are equal by remote exterior angles of parallel lines.
y = 180 - 100 - 28 = 52
Finally z = 52 + 28 = 80 degrees because x and y add to 80 degrees.
If the assumptions are incorrect, could I trouble you to repost the diagram or correct the errors I have made.
