Answer:
the value of x is 1
Step-by-step explanation:
cross multiply them
2x+10=12x
then take 2x to right hand side
10=12x-2x
then
10=10x
divide 10 on both sides
10/10=10x/10
then it is
1=x
Answer:
d. 11.3 cm
Step-by-step explanation:
The radius of the circle is the length CP, which can be found using the Pythagorean theorem. Since CQ ⊥ PR, you know that Q is the midpoint of PR and PQ = 8 cm.
Then the Pythagorean theorem tells you ...
CP² = CQ² +PQ² = (8 cm)² + (8 cm)² = 128 cm²
CP = √128 cm = 8√2 cm
CP = 11.3 cm
Rewrite the limand as
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = (1 - sin(<em>x</em>)) / (cos²(<em>x</em>) / sin²(<em>x</em>))
… = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / cos²(<em>x</em>)
Recall the Pythagorean identity,
sin²(<em>x</em>) + cos²(<em>x</em>) = 1
Then
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / (1 - sin²(<em>x</em>))
Factorize the denominator; it's a difference of squares, so
1 - sin²(<em>x</em>) = (1 - sin(<em>x</em>)) (1 + sin(<em>x</em>))
Cancel the common factor of 1 - sin(<em>x</em>) in the numerator and denominator:
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = sin²(<em>x</em>) / (1 + sin(<em>x</em>))
Now the limand is continuous at <em>x</em> = <em>π</em>/2, so
Answer:
She made the error in step 2.
Two negatives equal a positive.
Answer:
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported
C is cost; S is number of tons transported
Equation relating C to S would be a linear equation like y = mx + b
C = 125S + $3750
This equation would be graphed in the first quadrant only
you would start with your y-intercept at (0, 3750)
As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
1)Cost of 1 ton = $ 2000
Cost of 2 ton = $3500
Cost of 3 ton = $5000
$ 1500 increase for each of ton of sugar being transported.
2) (1 , 2000) ; (2 , 3500)
Slope =
= 1500
