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3 years ago

10

If the point (5,0) is on the graph of a line, is (5,0) the y-intercept of the line? Explain.

1 answer:

garik1379 [7]3 years ago

6 0

Answer:

No (5,0) is not the y-intercept instead it is the x-intercept since it passes trough the x axis instead of the y axis

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when the sum of an unknown number z and twenty two is divided by the same unknown number,the quotient is twelve what is the unkn

Anarel [89]

The unknown number . . . . . (z)

The sum of the unknown number and 22 . . . . . (z + 22)

The sum of the unknown number and 22
divided by the same unknown number . . . . . . . (z + 22) / z

You said that quotient is 12. (z + 22) / z = 12

Multiply each side by 'z' : (z + 22) = 12 z

Subtract 'z' from each side: 22 = 11 z

Divide each side by 11 : 2 = z .

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3 years ago

Find r if 0=pi/6 rad sector 64m^2

kap26 [50]

Given:

Area of a sector = 64 m²

The central angle is $\theta=\dfrac{\pi}{6}$ .

To find:

The radius or the value of r.

Solution:

Area of a sector is:

$A=\dfrac{1}{2}r^2\theta$

Where, r is the radius of the circle and $\theta$ is the central angle of the sector in radian.

Putting $A=64,\theta=\dfrac{\pi}{6}$ , we get

$64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}$

$64=\dfrac{\pi}{12}r^2$

$64\times \dfrac{12}{\pi}=r^2$

$\dfrac{768}{\pi}=r^2$

Taking square root on both sides, we get

$\sqrt{\dfrac{768}{\pi}}=r$

$16\sqrt{\dfrac{3}{\pi}}=r$

Therefore, the value of r is $16\sqrt{\dfrac{3}{\pi}}$ m.

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3 years ago

Consider the following equation. 9x2 − y2 = 6 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly fo

qaws [65]

Answer:

Step-by-step explanation:

Given is an equation in x and y as

$9x^2 - y^2 = 6$

We use implicit method to differentiate the above equation

18x-2yy'=0

y' = 9x/y

b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±

We separate the variables as

$yy' =9x\\\frac{y^2}{2} =\frac{9x^2}{2} +C\\y^2 =9x^2+2C$

Take square root

$y=\sqrt{9x^2+2C} \\y=-\sqrt{9x^2+2C}$

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3 years ago

7<br> Write an equation of a line<br> with slope of 23 and<br> y-intercept -6.

emmainna [20.7K]

Answer:

y = 23x - 6

Step-by-step explanation:

The formula for line is y = mx + b

m is the slope, so plug in 23

b is the y intercept, so plug in -6

So it would be y = 23x + (-6), which simpify into y = 23x - 6

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2 years ago

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Sergio [31]

Answer:

45

Step-by-step explanation:

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3 years ago

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