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LekaFEV [45]
3 years ago
5

Solve the equation by Factoring

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0
First set the equation to zero by adding -400 to both sides.
16 {r}^{2} - 400 = 0
Next factor 16
16 ({r}^{2} - 25)= 0

Divide through by 16
\frac{16 ({r}^{2} - 25)}{16} = \frac{0}{16}
({r}^{2} - 25)= 0

This is difference of two squares

(r - 5)(r + 5) = 0
either \: r - 5= 0 \: or \: r + 5= 0
r = 5 \: or \: - 5
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Find the 90th term of the arithmetic sequence, <br> 8.9, 13.6, 18.3, 23, …
Ronch [10]

Answer:427.2

Step-by-step explanation:

8.9 13.6 18.3

it goes up in 4.7

4.7n

8.9-4.7=4.2

4.7n+4.2

4.7(90)+4.2

423+4.2=427.2

Hopefully it is correct :)

4 0
2 years ago
Please help on this one please
borishaifa [10]
The answer is a rhombus. A rhombus has for sides of equal shape, and the opposite sides a parrallel.
5 0
3 years ago
Let f(x) = x – 3 and g(x) = x + 11. Find f(x) • g(x).. . A] x2 – 8x – 33. . B] x2 – 8x + 14. . C] x2 + 8x + 14. . D] x2 + 8x – 3
Katarina [22]
F(x) = x-3 and g(x) = x+11 

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33 

so choice D. is right 

hope helped 
3 0
3 years ago
Read 2 more answers
Kiara has $20 to spend.She wants to buy a book for $12 and spend the remaining money on name tags for he luggage.Each name tag c
Finger [1]
The answer is

C) 2x + 12 < 20
3 0
4 years ago
Read 2 more answers
Can some explain how to do this?
zepelin [54]

Answer:

  • Exact Area = 210.25pi - 210
  • Approximate Area = 450.185

The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

=============================================================

Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

  • a = 20
  • b = 21
  • c = unknown

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441 = c^2

c^2 = 841

c = sqrt(841)

c = 29

The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

4 0
3 years ago
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