Answer:
41
Step-by-step explanation:
BIDMAS
[5 x (4 + 6) - 9]
Brackets first
4 + 6 = 10
[5 x (10) - 9]
Multiply next
5 x 10 = 50
Subtract last
50 - 9 = 41
Temperature changes depending on the time of the day.
Step-by-step explanation:
The point 6 cm away from the center travels in a circle of circumference 2π*(6 cm) = 12π cm, so that it covers this distance per revolution, 12π cm/1 rev.
So the disk has a linear speed of
(6000 rev/min) * (12π cm/rev) = 72,000π cm/min
which is equivalent to
(72,000π cm/min) * (1/100,000 km/cm) * (60 min/h)
or approximately 135.7 km/h.
Answer: x = 2 ; -11 .
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Explanation:
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Given the equation:
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x² + 9x −<span> 22 = 0 ; Solve for: "x" ;
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Let us factor the "left-hand side" of the equation:
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"x</span>² + 9x −<span> 22" ;
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What are the factors of "-22"" that add up to "positive 9" ?
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Let us list the factors of "-22" :
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-2, 11; </span>→ -2 + 11 = 9 ;<span>
-11, 2; </span>→ -11 + 2 = -9 ;<span>
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So we have: "-2" and "11" ;
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So; </span> "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
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We have: (x−2)(x + 11) = 0 ;
So: x − 2 = 0 ;
Add "2" to each side of the equation;
x − 2 + 2 = 0 + 2 ;
x = 2 ;
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x + 11 = 0 ;
Subtract "11" from each side of the equation;
x + 11 − 11 = 0 − 11 ;
x = -11 ;
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Answer: x = 2 ; -11 .
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Answer:
y = -x+6
Step-by-step explanation:
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1x+b
Substitute the point into the equation
-8 = -1*2 +b
-8 = -2+b
-8+2 = -2+b+2
-6 =b
y = -x+6
