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3 years ago

If p(x)=2x^3+cx^2+16x+84 and x+2 is a factor of p(x),find the value of c.

Mathematics

1 answer:

Nuetrik [128]3 years ago

4 0

Answer:

c = -9

Step-by-step explanation:

Knowing that -2 is a root, you can do the synthetic division with an unknown value for c. Then solve for the value of c that makes the remainder be zero. See the attachment for the work.

The second attachment shows that (x+2) is a factor of the resulting cubic.

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PLZ HELP, GIVING BRAINLIEST, LOOK AT THE PIC FOR GRAPH!!

Darina [25.2K]

Answer:

The answer to your question is letter C

Step-by-step explanation:

From the graph, we get the center and the radius

- The center is the point shown in the graph and its coordinates are (2, -1).

- The length of the radius is 4 units, from the center we count horizontally the number of squares (4)

Substitution

(x - 2)² + (y + 1)² = 4²

or (x - 2)² + (y + 1)² = 16

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What is 23*536 because I don't know how and 54*653

Lubov Fominskaja [6]

23.536 54.653 it is decimal form

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3 years ago

Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She ne

Vadim26 [7]

Answer:

85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

b/sin(B) = c/sin(C)

b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

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3 years ago

Solve the equation using the quadratic formula : x^2-10x+25=18

Sever21 [200]

$x^2-10x+25=18 \\ \\x^2-10x+25-18 = 0\\ \\ x^2-10x+ 7 =0 \\ \\a=1 , b = -10 , c= 7 \\ \\ \Delta = b^{2}-4ac = (-10)^{2}-4*1*7=100-28 = 72 \\ \\\sqrt{\Delta }=\sqrt{72}= \sqrt{2*36} =\sqrt{36}*\sqrt{2} =6\sqrt{2}$

$x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{10- 6\sqrt{2}}{2}=\frac{2(5-3\sqrt{2})}{2}= 5-3\sqrt{2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{10+ 6\sqrt{2}}{2}=\frac{2(5+3\sqrt{2})}{2}= 5+3\sqrt{2}$

$Answer : \ x= 5-3\sqrt{2} \ \ or \ \ x = 5+3\sqrt{2}$

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3 years ago

Alan spent 3 hours building a model for his science project. This was 60% of the total time he spent on the project. How many ho

Vikentia [17]

Answer:

1.8 hours i hope this helps

Step-by-step explanation:

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