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goldfiish [28.3K]
3 years ago
5

The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

Remember that the axis of symmetry is exactly halfway between the x-intercepts.  Find the average of -3 and 5 to obtain this x-value:  It is:

                         -3 + 5

x - intercept = ------------  =  x = 1

                              2

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<img src="https://tex.z-dn.net/?f=5x-4%2B2%28x-4%29%3D16" id="TexFormula1" title="5x-4+2(x-4)=16" alt="5x-4+2(x-4)=16" align="ab
mariarad [96]

Answer:

\boxed{x = 4}

Step-by-step explanation:

=> 5x-4+2(x-4) = 16

Expanding the brackets

=> 5x-4+2x-8 = 16

Combining like terms

=> 5x+2x-4-8 = 16

=> 7x - 12 = 16

Adding 12 to both sides

=> 7x = 16+12

=> 7x = 28

Dividing both sides by 7

=> x = 4

3 0
3 years ago
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Given a circle with a radius of 22 inches, what is the circumference in terms of π?
Mars2501 [29]

Answer:

circumference = 2\pi \: r \\  = 2 \times \pi \times 22 \\  = 44\pi \: inches

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3 years ago
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Find the area of a sector with a 4 inch radius and arc measure of 90 degrees. use 3.14 for pi.
gulaghasi [49]

Answer:

\frac{90}{360} \pi{r}^{2}  \\ \frac{1}{4}   \times 3.14 \times  { 4}^{2}  \\  = 12.56 {in}^{2}

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6 0
3 years ago
Find the distance between (4,-2) &amp; (-1,3)
AleksAgata [21]

Step-by-step explanation:

Use Pythagorean theorem here. To find the height, find the difference of the 2 y's. To find the length, find the difference between the 2 x's.

Length = x2 - x1

Height = y2 - y1

√length^2 + height^2 = distance

√5^2 + 5^2 = √50 = 7.07

8 0
3 years ago
Graph each absolute value function. State the domain, range, and y-intercept.
grandymaker [24]

Answer:

i) D: All real numbers

ii) R: y\le5

iii) Y-int: b=2

Step-by-step explanation:

i) The given absolute value function is

y=-|x+3|+5

The domain is all values of x that makes the function defined.

The absolute value function is defined for all values of x.

The domain is all real numbers.

ii) The given function is y=-|x+3|+5

The function has vertex (-3,5).

The function is reflected in the x-axis.

This means the vertex is the maximum point on the graph of the function.

The maximum y-value is 5.

The range is therefore y\le 5 or (-\infty,5]

iii) To find the y-intercept, put x=0 into the function.

y=-|0+3|+5

y=-|3|+5

y=-3+5

y=2

The y-intercept is (0,2) or b=2

See attachment for graph.

6 0
3 years ago
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