Answer:
Slope: y = x
Step-by-step explanation:
Two ordered (-5,0) and (0, 5)
slope = Change in the y-values/ change in the x-value
slope = (5 - 0)/ [0 - (-5)] = 5/5 = 1
slope-intercept form: y = mx + b Using ordered pair (0, 5)
y = mx + b
5 = 1(0) + b
5 = 0 + b
5 = b
Slope-intercept form: y = mx ; y = x
Answer:
Sophie has to work 18 hours to buy the sneakers.
Step-by-step explanation:
Since Sophie earns $ 12.80 per hour babysitting, and she has to repay a loan to her parents in the amount of $ 100, and after repaying the loan, she wants to have at least enough money to buy herself a pair of sneakers costing $ 130.40, for write an inequality modeling the number of hours, X, Sophie needs to work to have enough money to buy the sneakers, the following mathematical reasoning must be carried out:
12.80X = 100 + 130.40
12.80X = 230.4
X = 230.4 / 12.8
X = 18
So Sophie has to work 18 hours to buy the sneakers.
379x=89
_______
379 =379
x=0.21
Question:
Which is equivalent to
after it has been simplified completely?
Answer:

Step-by-step explanation:
Given

Required
Simplify
We start by splitting the square root

Replace 180 with 36 * 5

Further split the square roots


Replace power of x; 11 with 10 + 1

From laws of indices; 
So, we have


Further split the square roots

From laws of indices; 
So, we have



Rearrange Expression


From laws of indices; 
So, we have



<em>The expression can no longer be simplified</em>
Hence,
is equivalent to 
Answer:
EXTRAPOLATION.
Step-by-step explanation:
We have been given a crossword puzzle in the figure
And we need to fill the missing word in this which has to be a mathematics word because we need to follow the pattern
And all words are mathematical
Hence, The word that can be filled there is EXTRAPOLATION.
Extrapolation means in mathematics is finding value of the variable on basis of the relationship this variable have with other variable.