17 - 5(2x - 9) = -(-6x + 10) + 4
On the right side of the equation, there is a negative sign infront of the parentheses. This means that you are multiplying the parentheses by -1.
17 - 5(2x - 9) = (6x -10) + 4
The 6x is positive because a negative times a negative is positive. The 10 is negative because a negative times a positive is a negative. Now, combine the like terms on the right side of the equation by adding -10 and 4 together.
17 - 5(2x - 9) = 6x - 6
Now that you have simplified the right side of the equation, move to the left side. Start with multiplying 5 times (2x - 9) using the distributive property.
17 - (10x - 45) = 6x - 6
After that, combine the like terms by subtracting -45 from 17. Because you would be doing 17 - -45, you would change all signs because when you subtract with negatives, you have to change the signs. Due to the change of the signs, you are just adding 17 and 45 together.
62 + 10x = 6x - 6
Now, you need to get the x's on one side and the whole numbers on the other side. Begin by subtracting 6x from both sides.
62 + 10x = 6x - 6
-6x -6x
62 + 4x = -6
Now, subtract 62 from negative 6. Remember to change the signs. You will end up with -6 + -62.
4x = -68
Finally, divide both sides by 4.
<u>4x</u> = <u>-68
</u>4 4
x = 17
Final Answer: x = -17
The measure of the largest angle of the triangular patch of grass is 81 degrees
<h3>Application of sine rule</h3>
In order to determine the measure of the largest angle, we will use the expression below;
Cross multiply
135sin26 = 60sinx
sinx = 135sin26/60
sinx = 59.18/60
sinx = 0.986
x = 80.5 degrees
Hence the measure of the largest angle of the triangular patch of grass is 81 degrees
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EXPLANATION
If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by
Check wheter the difference is constant:
Compute the differences of all the adjacent terms:
Replacing terms:
4-7 = -3
The difference between all of the adjacent terms is the same and equal to
d = -3
The first element of the sequence is
Therefore, the nth term is computed by
d= -3
Refine
d= -3 ,
Now, replacing n=7
So, the answer is -11.
Answer:
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<h3><u>-----------------------</u></h3><h3><u>hope it helps..</u></h3><h3><u>have a great day!!</u></h3>
The solution of the equation is x = 71 / 36.
<h3>How to solve an equation with one variable</h3>
Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:
2 · x + 1 / 3 + x - 1 / 4 = 13 / 2 Given
2 · x + x = 13 / 2 - 1 / 3 - 1 / 4 Compatibility with addition / Existence of additive inverse / Modulative property
3 · x = 71 / 12 Definitions of addition and subtraction / Distributive property
x = 71 / 36 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result
The solution of the equation is x = 71 / 36.
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