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Goryan [66]
3 years ago
5

Multiply the polynomial (12x^4 - 4x^3 + 5) by (-4x^2) *

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

<em>- 48 {x}^{6}  + 16 {x}^{5}  - 20 {x}^{2}</em>

<em>Option</em><em> </em><em>D</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>correct</em><em> </em><em>option</em><em>.</em>

<em>Sol</em><em>ution</em><em>,</em>

<em>- 4 {x}^{2} (12 {x}^{4}  - 4 {x}^{3}  + 5) \\  =  - 4 {x}^{2}  \times 12 {x}^{4}  + 4 {x}^{2}  \times 4 {x}^{3}  - 4 {x}^{2}  \times 5 \\  =  - 48 {x}^{6}  + 16 {x}^{5}  - 20 {x}^{2}</em>

<em>hope</em><em> </em><em>this </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

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What is the slope of the line that passes through the points (-4, -1) and (4, 5)?
andreyandreev [35.5K]

Answer:

3/4

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 5 - -1)/( 4 - -4)

   = ( 5+1)/(4+4)

   = 6/8

   = 3/4

7 0
2 years ago
If CE bisects ZBCD and if m ZBCE = 3x - 6
horrorfan [7]

Answer:

m∠BCD = 90°

∠BCD is a right angle

Step-by-step explanation:

<em>If a ray bisects an angle, that means it divides the angle into two equal parts in measure</em>

∵ Ray CE bisects ∠BCD

→ Means divide it into two angles BCE and ECD which equal in measures

∴ m∠BCE = m∠ECD = \frac{1}{2} m∠BCD

∵ m∠BCE = 3x - 6

∵ m∠ECD = 2x + 11

→ Equate them to find x

∴ 3x - 6 = 2x + 11

→ Add 6 to both sides

∵ 3x - 6 + 6 = 2x + 11 + 6

∴ 3x = 2x + 17

→ Subtract 2x from both sides

∵ 3x - 2x = 2x - 2x + 17

∴ x = 17

∵ m∠BCE =  \frac{1}{2} m∠BCD

→ Substitute x in the measure of ∠BCE to find it, then use it to

   find m∠BCD

∵ m∠BCE = 3(17) - 6 = 51 - 6

∴  m∠BCE = 45°

∵ 45 = \frac{1}{2} m∠BCD

→ Multiply both sides by 2

∴ 90 = m∠BCD

∴ m∠BCD = 90°

→ The measure of the acute angle is less than 90°, the measure of

   the obtuse angle is greater than 90°, and the measure of the

   right angle is 90°

∴ ∠BCD is a right angle

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3 years ago
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3 years ago
Kitty has invested £5500 for 3 years in a savings account. She is paid 6% per annum compound interest. How much did she have in
Zielflug [23.3K]

The value of her investment at the end of 3 years is £10955.08

<h3>How to determine the value?</h3>

The given parameters are

  • Principal, P = £5000
  • Rate, r = 6%
  • Time, t = 3 years

The value is then calculated as:

Value = P * P(1 + r)^t

So, we have:

Value = 5000 + 5000 * (1 + 6%)^3

Evaluate the expression

Value = 10955.08

Hence, the value of her investment at the end of 3 years is £10955.08

Read more about compound interest at:

brainly.com/question/24924853

#SPJ1

5 0
2 years ago
Find the area and the circumference of a circle with radius 7yd
Anettt [7]

Area= 153.86 yd

Circumference

4 0
3 years ago
Read 2 more answers
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