Y = mx + b
m is your slope AKA rate of change
b is the y intercept.
from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)
slope is rate of change. to figure this out remember slope = rise over run:

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1
Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2
Now plug these numbers into the rise over run formula:

Now we have everything we need to put into our formula for a line:


For number 16 you should get:

after you do the same steps again yourself
Answer:
The answer to your question is: the second option
Step-by-step explanation:
a) This is not the right answer, the sentence to this option could be: fourteen more than the quotient of five and a number is 23.
b) This is the right option, the sentence is given in the description.
c) This is not the right answer, the sentence to thi option could be: the quotient of fourteen plus a number and five is 23.
d) This is not the right answer, the sentence of this option could be: the quotient of five and the addition of a number and fourteen is 23.
Answer:
6
Step-by-step explanation:
From the Trapezoid attached :
EF = GT
FG = LA
LE = AT = 10
LA = 24 ; FG = 24
FG + EF + GT = 40
Let : EF and GT = x
FG + 2x = 40
24 + 2x = 40
2x = 40 - 24
2x = 16
x = 16 ÷ 2 = 8
Hence, EF = GT = 8
Using Pythagoras :
Opposite² = hypotenus² - Adjacent²
LF² = LE² - FE²
LF² = 10² - 8²
LF² = 100 - 64
LF² = 36
LF = √36
LF = 6
Answer:
y = -6x + 3
Step-by-step explanation:
y = -3(2x) -3(-1) = -6x + 3(1) = -6x + 3
Answer:
S = 85cm^2
Step-by-step explanation:
The surface area of a square pyramid is given by the following formula:

where it has taken into account the sum of the area of a square and four triangles:

h: slant height = 6cm
b: base = 5cm
By replacing in the formula you obtain:

hence, the surface area is 85cm^2