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3 years ago

What number would be added to both sides in order to complete the square when solving x^2+8x=9?

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

8 0

A. 16
1/2(MT)^2
1/2(8)^2
=4^2
=16

Margaret [11]3 years ago

7 0

You can figure this out if you just look at (x+a)^2 = x^2 + 2ax + a^2. See, the constant term, a^2, is the coefficient of x (2a), divided by 2 (2a/2=a), and then squared (a^2)

<span>So you equation has 8x. 8/2 = 4, and 4^2 = 16. So the answer is A.</span>

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A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed

RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current) Divide by 12

r_boat + current = 2 (r_boat - current) Remove the brackets.

r_boat + current = 2*r_boat - 2* current add 2 currents to both sides

r_boat + 3currents = 2*r_boat Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current. Divide by 12

20 = r_boat + current Put 3 currents in for r_boat

20 = 3currents + 1 current Combine

20 = 4 currents Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0

2 years ago

Substitute 9 for x and evaluate the expression below. (x-1) -3 A, 5 B, 7 C 11 D, 13

Sphinxa [80]

Answer: The answer would be A. 5

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3 years ago

It took you 6.5 h to drive 550 km. what was your average speed?

strojnjashka [21]

Average speed = Total distance/Time

A = 550km/6.5hr

A = 84.6 km per hr

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3 years ago

Read 2 more answers

Verifying Properties of logarithms In Exercise,use a graphing utility to verify that the functions are equivalent for x > 0.

Ede4ka [16]

Answer:

Applying Quotient and power rule. Graphically, for x>0 both curves coincide.

Step-by-step explanation:

1) Firstly, by applying the Quotient and then the Power Rule, we have a subtraction of the argument and, finally the exponent turns to be the coefficient. As it follows:

$lnx=log_{e}x\\\\f(x) = ln({\frac{x^{2}}{4}})\Rightarrow f(x)=ln{x^2}-ln4\Rightarrow f(x)=2lnx-ln4\\g(x) = 2 ln x - ln 4$

2) Check the graph below to see this equivalence. to see x>0 they both coincide.

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3 years ago

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Novay_Z [31]

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