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EastWind [94]
3 years ago
10

Solve by completing the square with working out -6x-x^2-8

Mathematics
1 answer:
horrorfan [7]3 years ago
4 0

Answer:

x = -3 +/- sqrt(17)

Step-by-step explanation:

-6x - (x^2) - 8 = 0

-((x^2) + 6x + 8) = 0

(x^2) + 6x + 8 = 0

(x + 3)^2 - 1 = 0

(x + 3)^2 = 1

x + 3 = +/- sqrt(1)

x + 3 = +/- 1

x = -3 +/- 1

x = -4, -2

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Write the equation of the line that is parallel to the line y=-3x+2 and goes through the point (2,-1)
pashok25 [27]

9514 1404 393

Answer:

  y = -3x +5

Step-by-step explanation:

The parallel line will have the same slope: m = -3.

The new y-intercept is ...

  b = y -mx

  y = -1 -(-3)(2) = -1 +6 = 5

Then the equation of the parallel line through (2, -1) is ...

  y = -3x +5

4 0
3 years ago
Triangle A B C is shown. Angle C A B is a right angle. Angle A B C is 30 degrees and angle B C A is 60 degrees. The length of A
marishachu [46]

Answer:

i. sin(C) = \frac{\sqrt{3} }{2}

ii. tan(C) = \sqrt{3}

iii. sin(B) = \frac{1}{2}

Step-by-step explanation:

Given a right angled triangle ABC, with a right angle at A.

<ABC = 30^{0}

<BCA = 60^{0}

AC = 9 = 1

CB = 18 = 2

Applying Pythagoras theorem to ΔABC, we have;

AB = \sqrt{BC^{2} - AC^{2} }

    = \sqrt{2^{2} - 1^{2}  }

   = \sqrt{3}

Thus applying the trigonometric ratios, it would be observed that;

i. sin(C) = \frac{\sqrt{3} }{2}

ii. tan(C) = \sqrt{3}

iii. sin(B) = \frac{1}{2}

3 0
3 years ago
Read 2 more answers
A company estimates that 0.7% of their products will fail after the original warranty period but within 2 years of the purchase,
8_murik_8 [283]

Answer:

$44.90

Step-by-step explanation:

The resulting value for the company of replacing a failed product is given by the price of the warranty minus the cost of replacement:

F= \$47-\$300 =-\$253

This event has a 0.7% chance of happening.

The resulting value for selling extended warranty to a product that does not fail is given by the proce of the warranty:

W= \$47

This event has a 99.3% chance of happening.

The expected value is:

EV = \$47*0.993+(\$47-\$300)*0.007\\EV=\$44.90

The expected value for each warranty sold is $44.90.

5 0
4 years ago
Mark borrowed $53 from his parents for his graduation expenses. He paid $29. How much does Mark still owe
strojnjashka [21]

Answer:

Mark still owes $24

Step-by-step explanation:

53-29=24

3 0
3 years ago
Find the area of this figure
34kurt
The area is about 39 ft squared.
6 0
4 years ago
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