The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2
<u>Step-by-step explanation:</u>
Step 1:
Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2
This implies that this solution should satisfy the given linear equations.
Step 2:
Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.
System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS
System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS
Therefore, the first system of linear equations satisfy the condition.
Answer:11 miles
Step-by-step explanation:
5 and 6 thousandths in standard form is 5.006
<h3>How to express the number in standard form?</h3>
The number is given as:
5 and 6 thousandths
This can be rewritten as
5 + 6 thousandths
Express as numbers
5 + 0.006
Evaluate the sum
5.006
Hence, 5 and 6 thousandths in standard form is 5.006
Read more about standard forms at:
brainly.com/question/1708649
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Answer:
11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
In this question:
Permutations of four letters from a set of 12 letters. So
![P_{(12,4)} = \frac{12!}{(12-4)!} = 11800](https://tex.z-dn.net/?f=P_%7B%2812%2C4%29%7D%20%3D%20%5Cfrac%7B12%21%7D%7B%2812-4%29%21%7D%20%3D%2011800)
11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet
Answer:
D: It has exactly 3 congruent sides
Step-by-step explanation:
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