Answer:
Infinite amount of solutions.
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Regular + Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
6y + 4 - 3y - 7 = 3(y - 1)
<u>Step 2: Solve for </u><em><u>y</u></em>
- Combine like terms: 3y - 3 = 3(y - 1)
- Distribute 3: 3y - 3 = 3y - 3
- Subtract 3y on both sides: -3 = -3
Here we see that there will be infinite amount of solutions. We can plug in any number <em>y</em> and it will render the equation true.
Answer:
<h3><u>Firs</u><u>t</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 50
The opposite is 25
So we have
sin ? = 25 / 50
sin ? = 1/2
? = sin-¹ 1/2
<h2>? = 30°</h2>
<h3><u>Sec</u><u>ond</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 8
the adjacent is 33
So we have
tan ? = 8/33
? = tan-¹ 8/33
? = 13.62
<h3>? = 14° to the nearest degree</h3>
Hope this helps you
Answer:
f(x) = x² - 4x - 12
Step-by-step explanation:
f(x) = (x - 6)(x + 2)
f(x) = x² + 2x - 6x - 12
f(x) = x² - 4x - 12
Answer:
The percentage rate per annum is 2.8%
Step-by-step explanation:
We need to multiply the principal by the time, then divide the interest by the product of P×T, so:
1,600 × 5 = 8,000
224 ÷ 8,000 = 0.028
Then we convert our final product to a percentage.
0.028 to a percent is 2.8%
The angles are x =25, angle A = 20 and B = 70
<h3>How to solve for the angles?</h3>
The given parameters are:
A = x - 5
B = 2x + 20
Both angles are complementary angles.
This means that:
x - 5 + 2x + 20 = 90
Evaluate the like terms
3x = 75
Divide both sides by 3
x = 25
Substitute x = 25 in A = x - 5 and B = 2x + 20
A = 25 - 5 = 20
B = 2 * 25 + 20 = 70
Hence, the angles are x =25, angle A = 20 and B = 70
Read more about complementary angles at:
brainly.com/question/98924
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