Answer:
(A) 2 meter
Step-by-step explanation:
It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.
Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have





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Thus, option A is correct.
Answer:
10) x=9
11) x=25
Step-by-step explanation:
a triangle is 180º total
10) 2x+8x+90=180
10x=90
x=9
11) 3x+1+2x+2+2x+2=180
7x+5=180
7x=175
x=25
Answer:
2(x+6)(x+6)
Step-by-step explanation:
splitting the middle term:
2x²+12x+12x+72
then2x(x+6)+12(x+6)
=(2x+12)(x+6)
=2(x+6)(x+6)(by takin common factor out)
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9514 1404 393
Answer:
C, A, A
Step-by-step explanation:
In general, you ...
- identify the coefficients of one of the variables
- swap them, and negate one of them
- multiply the corresponding equations by the "adjusted" coefficients.
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In problem 1, the x-coefficients are 8 and 2. A common factor of 2 can be removed so that we're dealing with the numbers 4 and 1. Assuming we want to multiply one of the equations by 1, leaving it unchanged, the value we want to multiply by will be -4. After we swap the coefficients, that multiplier is associated with equation 2:
multiply equation 2 by -4 . . . (eliminates x)
Likewise, the y-coefficients in problem 1 are -1 and 3. Again, if we want to multiply one of the equations by 1, leaving it unchanged, the coefficient we will change the sign of is -1 (becomes 1). After we swap the coefficients, the multiplier 3 is associated with equation 1:
multiply equation 1 by 3 . . . (eliminates y)
These two choices are B and A, respectively, so the one that does NOT work for problem 1 is choice C, as indicated below.
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The other problems are worked in a similar fashion.
Answer:
-2.453
Step-by-step explanation:
sqrt(6) * sqrt(2) = 3.461
sqrt(6) * -2 = -4.899
sqrt(3) * sqrt(2) = 2.449
sqrt(3) * -2 = -3.464
sum of numbers equals
-2.453