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Montano1993 [528]
3 years ago
12

A rectangle has a width of 9 cm, and a diagonal of 15 cm. Find the length.

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0
The answer is
9 { + 15 {}^{2} }^{=  \sqrt{108}
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Explain why f(x) is continuous at x=3
Elina [12.6K]

Answer:

f is not  defined at x = 3 ⇒ answer (b)

Step-by-step explanation:

∵ f(x) = x² - x - 6/x² - 9 is a rational function

∴ It will be undefined at the values of x of the denominator

∵ The denominator is x² - 9

∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9

∴ x = ± 3

∴ f(x) can not be defined at x = 3

∴ The f(x) can not be continuous at x = 3

∴ The answer is (b)

6 0
3 years ago
Read 2 more answers
If the zeros of a quadratic function, F, are -2 and 4, what is the equation of the axis of symmetry of F
vagabundo [1.1K]

Answer:

x=1

Step-by-step explanation:

if the zeroes are (-2,0) and (4,0), then the axis of symetry is going to be right in the middle of those two, with the graph reflected equally on either side.

so you get:

(4-2)÷2=1

therefore the equation of the axis of symetry is x=1

3 0
2 years ago
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lidiya [134]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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jolli1 [7]

Answer:

y = 5cos(πx/4) +11

Step-by-step explanation:

The radius is 5 ft, so that will be the multiplier of the trig function.

The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.

The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.

The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.

Putting that all together, you get

... y = 5cos(π/4x) + 11

_____

The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.

4 0
3 years ago
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Here's a graph of a linear function. Write the
Natalija [7]

Answer:

\large\boxed{y=\dfrac{1}{4}x+3}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept → (0, b)

From the graph we have the points (4, 4) and (0, 3) → b = 3.

We have the equation:

y=mx+3

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Put the coordinates of the points:

m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}

Finally we have:

y=\dfrac{1}{4}x+3

7 0
3 years ago
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