Answer:
a) (5x + 6)(2x + 8)
Step-by-step explanation:
10x² + 52x + 48
(5x + 6)(2x + 8)
Answer:
The answer is 48yd.
Step-by-step explanation:
All you have to do is add up the numbers.
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There a number of methods in solving a system of equations. These methods are the substitution method, solving by graphing, gaussian elimination and by elimination method. For this case, we use the substitution method. To do this, we write one of the equation in a way where one variable is left on one side. We do as follows:
<span>−0.9x+0.5y=3.9
0.5y = 3.9 + 0.9x
y = 3.9/0.5 + 0.9x/0.5
y = 7.8 + 1.8x
Then, we subsitute this equation to variable y in the second equation.
</span>0.4x+1.5(7.8 + 1.8x)=−6.9
Then, we solve for x
0.4x+1.5(7.8 + 1.8x)=−6.9
0.4x+11.7 + 2.7x=−6.9
3.1x = -18.6
x = -6
We substitute this value of x, to the first equation to solve for y
y = 7.8 + 1.8x
y = 7.8 + 1.8(-6)
y = -3
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Explanation:
<u>Given</u>:
- The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BAC
- angle BAC = α + β
<u>Prove</u>:
<u>Proof</u>:
∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°
2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°
∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles
(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1
∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides
∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion
