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liberstina [14]
2 years ago
12

Determine the x-intercept(s) of the rational function: f(x) = (x ^ 2 - 16)/(x ^ 2 - 2x - 3)

Mathematics
1 answer:
elena55 [62]2 years ago
3 0

Answer:

(-4,0) and (4,0)

Step-by-step explanation:

The x-intercepts occur for values of x where f(x) = 0.

f(x) = 0 when the nominator (x^{2}  - 16) = 0.

x^{2} -16 is a difference of squares,
so you can factor it as (x + 4)(x – 4)

When x = –4 or x = 4, the nominator is 0, and f(x) = 0

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The point (5, -2) is rotated 90° about the origin. Its image is:
OLEGan [10]
If rotated around the origin clockwise the new point is found at (-2,-5)
8 0
3 years ago
Abcd is a rectangle if DB=26 and DC=24 find bc
Anettt [7]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
7 0
3 years ago
– 6 x + 4 &lt; 29 answer?
svlad2 [7]

Answer:

its 847>×+18 enjoy hope it work

4 0
3 years ago
What is the total surface area of the figure shown?
4vir4ik [10]

Given:

Composite figure.

The figure splitted into two shapes.

One is vertical cuboid and other is horizontal cuboid

To find:

Total surface area of the figure

Solution:

<u>Vertical cuboid:</u>

Length = 14 inches

Width = 12 inches

Height = 24 inches

Surface area = 2(lw + wh + lh)

                     = 2(14 × 12 + 12 × 24 + 14 × 24)

                     = 2(168 + 288 + 336)

Surface area = 1584 square inches

<u>Horizontal cuboid:</u>

Length = 14 inches

Width = 10 inches

Height = 30 - 12 = 18 inches

Surface area = 2(lw + wh + lh)

                     = 2(14 × 10 + 10 × 18 + 14 × 18)

                     = 2(140 + 180 + 252)

Surface area = 1144 square inches

Total surface area = 1584 + 1144

                              = 2728 square inches

The total surface area of the figure is 2728 square inches.

4 0
3 years ago
Arrange the following set of decimal numbers.
shtirl [24]

Answer:

<h3>1. 3.98 , 6.134 , 8.015</h3><h3>2. 0.541 , 0.521 , 0.314</h3><h3>3. 19.006 , 19.06 , 19.6</h3><h3>4. 0.7134 , 7.134 , 714.4</h3><h3>5. 590.817 , 5,190.18 , 509.107</h3>

Step-by-step explanation:

I HOPE IT HELPS :)

8 0
3 years ago
Read 2 more answers
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