Answer:
Step-by-step explanation:
Sin 21 =
Sin 21 =
0.3583 =
0.3583*15 = BC
BC = 5.3745 = 5.37 m
Tan ∅ =
Tan ∅ =
∅ = tan⁻¹ (0.7448) = 36.67 = 36.7
Solve for y 1/2x-3/4y=-2
1 answer:
Simplify <span><span><span>12</span>x</span><span><span>12</span>x</span></span> to <span><span>x2</span><span>x2</span></span>
<span><span><span>x2</span>−<span>34</span>y=−2</span><span><span>x2</span>−<span>34</span>y=−2</span></span>
2 Simplify <span><span><span>34</span>y</span><span><span>34</span>y</span></span> to <span><span><span>3y</span>4</span><span><span>3y</span>4</span></span>
<span><span><span>x2</span>−<span><span>3y</span>4</span>=−2</span><span><span>x2</span>−<span><span>3y</span>4</span>=−2</span></span>
3 Subtract <span><span>x2</span><span>x2</span></span> from both sides
<span><span>−<span><span>3y</span>4</span>=−2−<span>x2</span></span><span>−<span><span>3y</span>4</span>=−2−<span>x2</span></span></span>
4 Multiply both sides by <span>44</span>
<span><span>−3y=(−2−<span>x2</span>)×4</span><span>−3y=(−2−<span>x2</span>)×4</span></span>
5 Regroup terms
<span><span>−3y=4(−2−<span>x2</span>)</span><span>−3y=4(−2−<span>x2</span>)</span></span>
6 Divide both sides by <span><span>−3</span><span>−3</span></span>
<span><span>y=<span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span><span>y=<span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span></span>
7 Simplify <span><span><span>4(−2−<span>x2</span>)</span><span>−3</span></span><span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span> to <span><span>−<span><span>4(−2−<span>x2</span>)</span>3</span></span><span>−<span><span>4(−2−<span>x2</span>)</span>3</span></span></span>
<span><span>y=−<span><span>4(−2−<span>x2</span>)</span>3</span></span></span>
<span><span><span>x2</span>−<span>34</span>y=−2</span><span><span>x2</span>−<span>34</span>y=−2</span></span>
2 Simplify <span><span><span>34</span>y</span><span><span>34</span>y</span></span> to <span><span><span>3y</span>4</span><span><span>3y</span>4</span></span>
<span><span><span>x2</span>−<span><span>3y</span>4</span>=−2</span><span><span>x2</span>−<span><span>3y</span>4</span>=−2</span></span>
3 Subtract <span><span>x2</span><span>x2</span></span> from both sides
<span><span>−<span><span>3y</span>4</span>=−2−<span>x2</span></span><span>−<span><span>3y</span>4</span>=−2−<span>x2</span></span></span>
4 Multiply both sides by <span>44</span>
<span><span>−3y=(−2−<span>x2</span>)×4</span><span>−3y=(−2−<span>x2</span>)×4</span></span>
5 Regroup terms
<span><span>−3y=4(−2−<span>x2</span>)</span><span>−3y=4(−2−<span>x2</span>)</span></span>
6 Divide both sides by <span><span>−3</span><span>−3</span></span>
<span><span>y=<span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span><span>y=<span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span></span>
7 Simplify <span><span><span>4(−2−<span>x2</span>)</span><span>−3</span></span><span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span> to <span><span>−<span><span>4(−2−<span>x2</span>)</span>3</span></span><span>−<span><span>4(−2−<span>x2</span>)</span>3</span></span></span>
<span><span>y=−<span><span>4(−2−<span>x2</span>)</span>3</span></span></span>
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Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12
Given the equation - x² + 5x = 3, which can be rewritten as:
- x² + 5x - 3 = 0
where a = -1, b = 5 and c = -3.
Quadratic formula:
Now, we just replace the values of a, b and c on the equation above.
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