The value of x that will make the statement true is 1
Step-by-step explanation:
The given is:
- f(x) = x - 4
- g(x) = 2x + 3
We need to find the value of x which makes [f(x) + 2g(x)] = 7
∵ f(x) = x - 4
∵ g(x) = 2x + 3
∵ f(x) + 2g(x) = 7
- Multiply g(x) by 2
∵ 2g(x) = 2(2x + 3) = 2(2x) + 2(3) = 4x + 6
∴ 2g(x) = 4x + 6
∵ f(x) + 2g(x) = 7
∴ (x - 4) + (4x + 6) = 7
- Add the like terms in the left hand side
∴ (x + 4x) + (-4 + 6) = 7
∴ 5x + 2 = 7
- Subtract 2 from both sides
∴ 5x = 5
- Divide both sides by 5
∴ x = 1
The value of x that will make the statement true is 1
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Answer:
10²
Step-by-step explanation:
Another way of phrasing "10 sets of 10 sit-ups" is "10 sit-ups, 10 times," or mathematically, 10 x 10. Another way of writing repeated multiplication is through <em>exponents</em>. Since we have 2 10's multiplied together, we can rewrite our expression as 10².
Using the tangent ratio, the height of the lighthouse from the top of the cliff ≈ 161.2 meters.
<h3>What is the Tangent Ratio?</h3>
For solving a right triangle, the tangent ratio that can be applied is: tan ∅ = opposite length / adjacent length.
Find the height of the light house and the cliff using the tangent ratio:
tan 51.3 = height/980
Height of lighthouse + cliff = (tan 51.3)(980)
Find the height of the cliff only using the tangent ratio:
tan 47.3 = height/980
Height of cliff = (tan 47.3)(980)
Height of the lighthouse from the top of the cliff = (tan 51.3)(980) - (tan 47.3)(980)
Height of the lighthouse from the top of the cliff ≈ 161.2 meters.
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