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kenny6666 [7]
3 years ago
12

Given f(x) = − 5x + 1 , what is the value of f(5.5)

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

f(5.5) = -26.5

Step-by-step explanation:

f(5.5) = -5x+1

f(5.5) = -5(5.5) +1

f(5.5) = -26.5

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A box in the shape of a right rectangular
Ostrovityanka [42]

Answer:

96 inches cubed

Step-by-step explanation:

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3 years ago
The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

8 0
3 years ago
Find the length of AB?
vampirchik [111]

Given:

The figure of a right triangle.

To find:

The length of AB.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

Using this trigonometric ratio for the given triangle, we get

\cos A=\dfrac{AB}{AC}

\cos (60^\circ)=\dfrac{AB}{10}

\dfrac{1}{2}=\dfrac{AB}{10}

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Read 2 more answers
Find the measurement of either the leg or the hypotenuse: A = B = 21 C =<br> 35
Varvara68 [4.7K]

Answer: x = 40.81 or 41

Step-by-step explanation:

A = B = 21

C = 35

Hypotenuse = x

Calculating Hypotenuse:

21^2 + 35^2 = x^2

=> 441 + 1225 = x^2

=> x^2 = 1666

=> x = 40.81 or 41

5 0
3 years ago
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