Answer:
Step-by-step explanation:
3x2 - y2 = 9.........(1)
x2 + 2y2 = 38......(2)
Let x^2 = a and y^2 = b
:- the two equations becomes
3a - b = 9..........(3)
a + 2b = 38.......(4)
Multiplying (4) by 3
3a + 6b = 114........(5)
Substracting (3) from (5)
3a - 3a + 6b - (-b) = 114 - 9
6b +b = 105
7b = 105
b = 105/7
b = 15
And 3a - b = 9 putting b = 15
3a - 15 = 9
3a = 15+9
3a = 24
a = 24/3
a = 8
And
x^2 = a
x^2 = 8
x = √8
x = √(4×2)
x = 2√2
Also y^2 = b
y^2 = 15
y = √15
Answer: Part a) 375 pounds, Part b) 8 words
Step-by-step explanation:
a)
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Since n represents the number of words there are, we can plug in 20 for n into the equation to get:
C = 15*20 + 75 pounds
C = 300 + 75 pounds
C = 375 pounds
b)
Since C represents the cost of the advert, we can plug in 195 for C into the equation to get:
195 = 15n + 75
Subtract 75 from both sides:
120 = 15n
Divide both sides by 15:
n = 8 words
Answer:
1. 7
2. 54÷2=27
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Answer:
Perimeter = 101.2 cm
Step-by-step explanation:
The given figure has a length of 18 cm and width of 24 cm. A rectangle of length 8.6cm has been cut out, however, the question is asking to find the perimeter, or distance around the figure. The overall rectangle still has a perimeter of 18 + 18 + 24 + 24 = 84. However, now it also has two additional sides of 8.6cm each, so 8.6 + 8.6 = 17.2.
Add all the sides together for perimeter:
84 + 17.2 = 101.2 cm
Answer:
(x+)^3
Step-by-step explanation: