Answer:
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Explanation:
The complete question is:
<em>Between the time iko woke up and lunchtime, the temperature rose by 11º. Then by the time he went to bed, the temperature dropped by 14º.</em>
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<em>Write an addition expression for the temperature relative to when iko woke up. </em>
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<h2>Solution</h2>
It is said that between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. A rise means the temperature increased and you must add 11º.
Then, relative to when Iko woke up the temperature is:
Then, by the time Iko went to bed, the temperature dropped by 14º. A drop means that the change is negative. This means that you must add a negative number, and the additive expression is:
If you want the overall change in temperature you do the operation:
- 11 + (-14) = 11 - 14 = - 3. A net decrease of 3º.
But the answer to this question is the additive expression:
4x^2 - 36 = 0
4x^2 = 36
x^2 = 9
x = 3 or -3
the answer is C
<h3>
Answer: cos(76)</h3>
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Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
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We can verify this by use of a calculator. Make sure your calculator is in degree mode.
- cos(94)cos(18) + sin(94)sin(18) = 0.24192
- cos(76) = 0.24192
Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594
<h3>Solving quadratic equations.</h3>
Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c
From the given information, we are to solve the quadratic equation:
Using the quadratic formula:
where:
x = 0.927 or -3.594
Learn more about solving quadratic equations here:
brainly.com/question/8649555
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