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natima [27]
2 years ago
12

F(x)= 2x^3 + 5x^2 -x -6 is divided by x+1

Mathematics
1 answer:
eimsori [14]2 years ago
8 0

Step-by-step explanation:

substitute x= -1 into the equation to get the remainder

remainder= -2

the remainder is not a fraction

no, it is not a factor since its remainder is not zero

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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
Step2247 [10]

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

m\angle O+m\angle P+m\angle Q=180^\circ        [Angle sum property]

26^\circ+m\angle P+90^\circ=180^\circ

m\angle P+116^\circ=180^\circ

m\angle P=180^\circ -116^\circ

m\angle P=64^\circ

According to Law of Sines, we get

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using the Law of Sines, we get

\dfrac{p}{\sin P}=\dfrac{o}{\sin O}

\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}

Substituting the given values, we get

\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}

\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}

\dfrac{4.9}{0.89879}\times 0.43837=PQ

2.38989=PQ

Approximate the value to the nearest tenth of a foot.

PQ\approx 2.4

Therefore, the length of PQ is 2.4 ft.

4 0
3 years ago
PLEASE HELPPPPPPPPPPPPPPPPPPPP
9966 [12]

Answer:

35 cm ^2

Step-by-step explanation:

5x5 = 25

5-3 = 2

5x2 = 10

25+10 = 35cm^2

8 0
3 years ago
Read 2 more answers
51/70 = x/100 Please answer I need help
BigorU [14]

Answer:

x=510/7

Step-by-step explanation:

51/70=x/100

cross product

70*x=51*100

70x=5100

x=5100/70

x=510/7

4 0
4 years ago
Simplify this expression.<br> 6x/<br> 9(x + y)
iVinArrow [24]

Answer:

9x+9y

Step-by-step explanation:

9(x+9y

9x+9y

solution

9x+9y

4 0
3 years ago
If you wanted to make the graph of y=5x+3 les steep, which equation could you use?
stepan [7]

B

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 5x + 3 is in this form with slope m = 5

To decrease the slope we require a smaller, positive value for m

y = x + 3 has m = 1 which is less than 5 and positive

y = x + 3 is less steep than y = 5x + 3



6 0
3 years ago
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