Dilation alters the length of the sides of a triangle but the angles remain the same
So cos x will still be 8/17
The x-intercepts are (-1/2, 0) and (-1,0).
The y-intercept is (0,1).
The value of this expression when =-2 and x=-1 is: 3.
<h3>Value of the expression</h3>
Given equation:
-2 and x=-1
Solving the value of the given equation
-2 and x=-1
Hence:
=-(-1)+2
=1+2
=3
Therefore the value of this expression when =-2 and x=-1 is: 3.
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Answer:
Step-by-step explanation:
Smith=24
Munoz=32
Park=20
Total votes=24+32+20=76
Ratio of votes for Munoz to Smith
32:24
=4:3
Ratio of votes for Park to Munoz
20:32
=5:8
Ratio of votes for Smith to total votes
24:76
=6:19
Ratio of votes for Smith to Munoz to Park
24:32:20
=6:8:5
Answer:
$75
Step-by-step explanation:
Joni currently earns $300 per week (given)
To find how much more she will earn each week, write an expression adding the original pay and the raise amount.
$300 + 25%
Find 25 as a decimal for multiplication
25% = 25/100 = 0.25
Write an expression to represent the scenario
Expression example 1:
$300 + 0.25(300)
This expression adds the original pay and the new raise together.
Expression example 2:
$300 (1.25)
This expression already takes the new pay into account by finding 125% of the original pay.
Simplify both expressions
Expression 1:
$300 + 0.25(300)
$300 + $75
$375
Expression 2:
$300 (1.25)
$375
Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.
New amount - original amount = amount increase
Substitute known values into the equation
$375 - $300
Simplify
$75
Joni will earn $75 more each week.
Let me know if you have any questions!