Answer:
70 Minutes
Step-by-step explanation:
Divide 25 into 50 to get 2 and then multiply 2 x 35 to get 70
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
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The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Answer:
The values of 
and 
for a linear system with infinitely many solutions are -2 and 5, respectively.
Step-by-step explanation:
Let 
, if this linear system has infinitely many solutions, then the following conditions must be met:
and 
.
and
The values of and for a linear system with infinitely many solutions are -2 and 5, respectively.
Decrease means minus or '-'
it is an operation because it opperates or does something to the numbers. it is like a verb
an integer is the thing being operated on. it is like the noun
Answer: The correct option is (c) 
Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:
Also, we are to find the constant added on both sides to form the perfect square trinomial.
We have from equation (i) that
So,
Thus, the required solution is 
and the value of the constant added is
Option (c) is correct.
