Answer:
25
Step-by-step explanation:
A=1/2×b×h
A=1/2×5cm×10cm
A=25cm
Solving the simultaneous equation show that the solution is inconsistent.
<h3>What is Inconsistent solution?</h3>
A simultaneous equation is said to have inconsistent solution when there is no value as the solution. This implies that no value of unknown will satisfy the equation.
Hence no value of x and y satisfies the equation.
4x -2y = 18 ______1
-4x + 2y = -18 ____2
from (1) make y the subject of formular
4x -2y = 18
2y = 4x - 18
y = 2x - 9 ______3
substitute y = 2x - 9 into 2
-4x + 2y = -18
-4x + 2 (2x - 9 ) = -18
-4x + 4x - 18 = -18
-4x + 4x = -18 + 18
0 = 0
This gives no solution hence the simultaneous equation is said to be inconsistent
Read more on inconsistent solutions here: brainly.com/question/15654281
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Answer:
Length: 430
Width: 100
Step-by-step explanation:
Length : x
Width: x - 330
Area = 43000
Area = length * width
43000 = x (x - 330)
43000 = x² - 330x
x² - 330x - 43000 = 0
x² - 430x + 100x - 43000 = 0 // Doing factorization
x (x - 430) + 100 (x - 430) = 0
(x+100)(x-430) = 0
x + 100 = 0
x = -100 (Since the length can not be negative)
x - 430 = 0
x = 430(This is the length)
Width: x - 330 = 430 - 330 = 100
Proof : 430 * 100 = 43000
Answer:
y=2
Step-by-step explanation:
7y-1=13
+1 +1
7y=14
/7 /7
y=2
Answer:
- the largest number that cannot be made is 23
- see below for an explanation
Step-by-step explanation:
<em>Why numbers greater than 23 can be made</em>
From any number that Larry can make that includes an appropriate number of stamps, Larry can ...
- add 1 by adding 1×9 and taking away 2×4
- add 2 by adding 2×9 and taking away 4×4
- add 3 by adding 3×9 and taking away 6×4
- add 4 by adding 1×4
- add 5 by adding 4 and 1 (add 9, take away 4)
- add 6 by adding 4 and 2 (add 2×9, take away 3×4)
- add 7 by adding 4 and 3 (add 3×9, take away 5×4)
- add 8 by adding 2×4
- add 9 by adding 1×9
Clearly, for Larry to be able to continue adding any number, he must start with a number that contains at least 6×4 cents = 24 cents.
Larry can make 24 cents from 6 4-cent stamps. Using the above table, he can add any amount to that.
___
<em>Why 23 cannot be made</em>
For 23 cents, the number of stamps must include 0, 1, or 2 9-cent stamps, so there are 3 cases to try for making 23:
- 23 cannot be made from 0 9-cent stamps because 23 is not divisible by 4
- 23 cannot be made using 1 9-cent stamp, because 14 is not divisible by 4
- 23 cannot be made using 2 9-cent stamps, because 5 is not divisible by 4.
Therefore, 23 cannot be made.
