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3 years ago

Evaluate 6x for each value of x. x = 2/3

Mathematics

2 answers:

Leviafan [203]3 years ago

4 0

You have only listed one value for 'x'.

If 'x' is 2/3, then 6x is (6 times 2/3). That's 12/3 or 4 .

poizon [28]3 years ago

3 0

$6x=6\times x=6\cdot x\\\\substitute\ x=\frac{2}{3}\ to\ 6x:\\\\6\times\frac{2}{3}=\frac{\not6^2}{1}\times\frac{2}{\not3_1}=2\times2=4$

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2 years ago

Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60

TEA [102]

Answer: the rate at which the distance between the boats is increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

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3 years ago

X^2+16x+64 can anyone show the work for this and find the factor.

Alexandra [31]

Answer:

should i simplify it? or factorise it?

I guess its factorise! So i m factorising!

x^2+16+64

(x)^2+2×x×8+(8)^2

(x+8)^2

=(x+8)(x+8)

8 0

2 years ago