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ddd [48]
3 years ago
6

If h and k are constants and x^2+kx+7 is equivalent to (x+1)(x+h), what is the value of k?

Mathematics
1 answer:
pantera1 [17]3 years ago
7 0
The answer is K=(xh+x+h-7)/x
First you multiply the (X+1)(X+H) and get x^2+XH+X+H

Then you set it equal to X^2+KX+7=X^2+XH+X+H

Both X^2 CANCELS then move the 7 over by subtracting it giving you

KX=XH+X+H-7
Then divide by x giving you K by itself the answer bein K=(XH+X-H-7)/X
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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
Why do you think city streets often are designed to be parallel or perpendicular?
White raven [17]

Answer:

Step-by-step explanation: Most urban designers incorporate a diagonal street cutting through the regular grid to create interesting spaces, squares, plazas, to provide relief and add character as can be seen at Manhattan Times Square created by Broadway cutting the grid at an angle.

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
a cylindrical can has a circumference of 40cm and a capacity of 4.8 litres. Find the capacity of a similar cylinder of circumfer
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Answer:

V2/V1 = c2/c1

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Step-by-step explanation:

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Art [367]

Answer:

the index of 2 is -1

Step-by-step explanation:

2^{-1}

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2 years ago
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