triangle abc is similar to triangle def. the lengths of the sides of triangle abc are 5, 8, and 11. what is the length of the sh
1 answer:
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Answer:
See Explanation
Step-by-step explanation:
Required
Function(s) with the same slope as function 1
The question is incomplete as function 1 and the three additional functions are not given.
However, I will provide a general explanation.
A slope is represented as:
Where
slope
So, considering the following equations
The following equations have the same slope
and
Because: implies that:
for
and
Given:
The graph of a translation. X'Y' is a translation of XY.
To find:
The rule of the translation.
Solution:
Let the rule of the translation be
...(i)
So, we need to find the value of a and b.
From the given graph, it is clear that X(-4,-9) and X'(-1,0).
Using (i), the image of X(-4,-9) is
We have, X'(-1,0). So,
On comparing both sides, we get
And,
So, the missing values in the rule of the translation are 3 and 9 respectively.
Therefore, the rule of translation is .
Answer:
Part 1) The price of a USB memory, stick selling at a 21% discount of its market price (m) ------> 0.79m
Part 2) The price or a CD that sells for 21% more than the amount (m) needed to manufacture the CD -----> 1.21m
Part 3) The final value of a painting after its initial value m, increases by 2/5 ----->
Part 4) The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy ----->
Step-by-step explanation:
Part 1) The price of a USB memory, stick selling at a 21% discount of its market price (m)
we know that
100% is the market price m
100%-21%=79%
79%=79/100=0.79
so
The price of a USB memory with a 21% discount of its market price is equal to multiply m by 0.79
(0.79)*m=0.79m
Part 2) The price or a CD that sells for 21% more than the amount (m) needed to manufacture the CD
we know that
100% is the amount m
100%+21%=121%
121%=121/100=1.21
so
The price or a CD that sells for 21% more than the amount (m) is equal to multiply m by 1.21
(1.21)*(m)=1.21m
Part 3) The final value of a painting after its initial value m, increases by 2/5
we know that
100% is the initial value m
2/5=0.40=40%
100%+40%=140%
140%=140/100=1.4
Convert to fraction
1.4=14/10=7/5
so
The final value is equal to m multiplied by 7/5
Part 4) The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy
we know that
100% is the number of makers m
2/5=0.40=40%
100%-40%=60%
60%=60/100=0.6
Convert to fraction
0.6=6/10=3/5
The total number of markers that Nancy has is equal to multiply m by 3/5
so