Answer:
(x + y)² = 35
Step-by-step explanation:
The expansion of
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy ← substitute given values
= 25 + 2(5)
= 25 + 10
= 35
-4.6(2.2x+3y=15.25) = -10.12x - 13.8y = -70.15
2.2(4.6x+2.1y=18.325) = 10.12x - 4.62y = 40.315
simplify
-4.62y = -29.835
divide both sides by -4.62 to isolate y
y= 6.46
2.2x + 3 (6.46) = 15.25
2.2x + 19.38 = 15.25
subtract 19.38 to both sides
2.2x = -4.3
divide 2.2 to both sides
x= -1.95
I hope that this helped :)
Answer:9.4$ a hour
Step-by-step explanation:
110 - 16 = 94
94 / 10 = 9.4
she makes 9.4$ a hour
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Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴ 
∵ BC = 6 units
∵ EF = 3 units
∴ 
∵ CA = 2 units
∵ FD = 1 units
∴ 
∴ 
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF
The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
<h3>Define the term permutation?</h3>
- The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
- The arrangement's order is essential when using permutations.
For the stated data;
Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.
There are total 9 digits (0 - 9).
There are total 26 letter (A - Z)
Repetitions of letters and numbers given allowed.
Thus, numbers and the letters ca be arranged as;
1st place = 9 ways.
2nd place = 9 ways.
3nd place = 9 ways.
4th place = 26 ways.
6th place = 26 ways.
7th place = 9 ways.
8th place = 9 ways.
Total ways = 9×9×9×26×26×9×9
Total ways = 39917124
Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
To know more about the permutation, here
brainly.com/question/1216161
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