Can a quadrilateral have no obtuse angles? Explain.

Answer:

Step-by-step explanation:

In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.

Answer:

Hello! The answer is in this link.

Step-by-step explanation:

8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!

Answer:

D.) x2 + (y + 1)2 = 1

Step-by-step explanation:

No explanation needed just need to say something here.

Answer:

x2 + (y + 1)2 = 1

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  ∠AIS

Step-by-step explanation:

The tangent SF intersects the circle at one point, point I. Any angle it forms with a chord must be a chord that terminates at point I. There are two of them: AI and CI.

The angles these chords make with tangent SF are ...

Of these, only the first (∠AIS) is listed among the answer choices.

Answer:

1). Option (d)

2). Options (a), (b) and (d)

Step-by-step explanation:

Question 1

a). [tex]3x^5-6x^3+9x-12x^{-1}[/tex]

   Any expression with negative exponent is not a polynomial.

b). [tex]4\sqrt{x}+5[/tex]

   Any expression having variable with square root is not a polynomial.

c). [tex]\frac{4x+5}{3x-1}[/tex]

   Any expression having variables in the form of a fraction is not a polynomial.

d). [tex]-\frac{3}{2}x^{12}-7x^5+\frac{2}{3}x-10[/tex]

   It's a polynomial.

e). [tex]-5x^{\frac{3}{2}}-7x^2+6[/tex]

   Expressions having variables with square root are not the polynomial.

Therefore, Option (d) is a polynomial.

Question 2.

P(x) = (2x + 1)(5x³ - 8x + 4)

      = 2x(5x³ - 8x + 4) + 1(5x³ - 8x + 4)

      = 10x⁴ - 16x² + 8x + 5x³ - 8x + 4

      = 10x⁴ - 5x³ - 16x²+ 4

a). Degree of polynomial = 4

   True

b). P(0) = 10(0) - 5(0) - 16(0) + 4

           = 4

    True

c). P(-1) = 10(-1)⁴ - 5(-1)³ - 16(-1)² + 4

           = 10 + 5 - 16 + 4

           = 3

    False

d). Coefficient of x₂ is -16.      

    True

e). Coefficient of x is -16

    False

Therefore, Options (a), (b) and (d) are correct.

Answer:

360ft³

Step-by-step explanation:

To get the volume for a pyramid just multiply length, width, and height then divide by three.

Answer:

[tex] 360 \: {ft}^{3} [/tex]

Step-by-step explanation:

[tex]V_{pyramid} = \frac{lwh}{3} \\ \\ = \frac{12 \times 6 \times 15}{3} \\ \\ = 360 \: {ft}^{3} [/tex]

Answer:

A

Step-by-step explanation:

A. 8(3+8x)

8 times 3 is 24. 8 times 8 is 64 making it 24+64x

Answer:

For question 4 you would have 1560000. For question 5 you would have 660000

Step-by-step explanation:

Answer:

Answer is B.

Step-by-step explanation:

-2x (4x+5)

-8x^2 - 10x

Hippoty Hoppity, distributive property.

Multiply -2x by 4x, both have X's, so you combine them to get x^2 (X squared).

Hope this helped. Good luck on your finals.

Answer:i have no idea

Step-by-step explanation:

Does n e one get t?

Answer:

D:(-8,-5)

Step-by-step explanation:

It is already negative and if plotted the coordinates then reflected, it will give this answer

idea 34 I did 56-22 0.0

Answer:

I think it is -60.71428571 percent.

Answer:

i this like true or false,if so its true

:)

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

{-3, -2, 0, 3}   - the set of y-values.

Answer:

2xyz - 3x[tex]y^{2}[/tex]z-5[tex]x^{3}[/tex]z

Step-by-step explanation:

Answer: [tex]91.7\ mm[/tex]

Step-by-step explanation:

Given

The size of the ant is enlarged by [tex]655\%[/tex]

The actual size of the ant is [tex]14\ mm[/tex]

Enlarged size is

[tex]\Rightarrow 14\times \dfrac{655}{100}\\\\\Rightarrow 91.7\ mm[/tex]

Answer:

10.9 miles

Step-by-step explanation:

distance of the park to the mall = distance of the mall from the city centre + distance of the park from the city centre

this question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypothenuse

distance of the mall from the city centre = 5² + 4²

25 + 16 = 41

√41 = 6.403124 miles

distance of the park from the city centre = 4² + 2²

16 + 4 = 20

√20 = 4.472136 miles

Total distance =  6.403124 miles + 4.472136 miles = 10.875260

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the hundredth is 7. it is greater than 5. So, 1 is added to the tenth term. this gives 10.9 miles

Please check the attached images for a better understanding of how the question was solved.

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.​

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

Answer: 61

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Work your way from the outside and you'll get 61

Answer:

Step-by-step explanation:

[tex]a_n=a_1\cdot r^{n-1}\\\\a_{12}=30\cdot 4^{12-1}\\\\a_{12}=30\cdot 4^{11}=15\cdot2\cdot2^{22}=15\cdot2^{23}[/tex]

Answer:

The answer is 25.1 or just 25 which ever way they are asking for it

Step-by-step explanation:

Hope that helps

FYI you just need to use the Pythagorean theorem to solve this

A^2 + B^2 = C^2

Answer:

A: 0.103

Step-by-step explanation:

Answer:

0.103 liters of juice

Step-by-step explanation:

Subtraction

1.09-0.987=

0.103

Answer:

A. 2x + 3y = -6

Step-by-step explanation:

[tex](-3,0) (0,-2)[/tex]

[tex]slope:\frac{-2-0}{0+3} =\frac{-2}{3}[/tex]

[tex]y-0=\frac{-2}{3} (x+3)[/tex]

[tex]3y=-2x-6[/tex]

[tex]3y+2x+6=0[/tex]

[tex]2x+3y=-6[/tex]

-------------------

hope it helps...

have a great day!!

Answer:

After 200 students, it would better to hire Band A

Step-by-step explanation:

350+ 1.25x = 600

1.25x = 250

x = 200

at 200 students the cost is the same for Band A and Band B

at 201 students Band A will be cheaper then Band B

Answer:

[tex]Rate = 6[/tex]

[tex]Rate = 10[/tex]

[tex]Rate = 18[/tex]

[tex]Rate = 162[/tex]

Step-by-step explanation:

Given

See attachment for table

Solving (a): Rate of change between 2nd and 3rd point on A

The rate of change is calculated as:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In table A, the 2nd and 3rd point is:

[tex](x_1,y_1) =(1,7)[/tex]

[tex](x_2,y_2) =(2,13)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{13 - 7}{2 - 1}[/tex]

[tex]Rate = \frac{6}{1}[/tex]

[tex]Rate = 6[/tex]

Solving (b): Rate of change between 3rd and 4th point on A

In table A, the 3rd and 4th point is:

[tex](x_1,y_1) =(2,13)[/tex]

[tex](x_2,y_2) =(3,23)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{23 - 13}{3 - 2}[/tex]

[tex]Rate = \frac{10}{1}[/tex]

[tex]Rate = 10[/tex]

Solving (c): Rate of change between 2nd and 3rd point on B

In table B, the 2nd and 3rd point is:

[tex](x_1,y_1) =(2,11)[/tex]

[tex](x_2,y_2) =(3,29)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{29 - 11}{3 - 2}[/tex]

[tex]Rate = \frac{18}{1}[/tex]

[tex]Rate = 18[/tex]

Solving (d): Rate of change between 4th and 5th point on B

In table B, the 4th and 5th point is:

[tex](x_1,y_1) =(4,83)[/tex]

[tex](x_2,y_2) =(5,245)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{245 - 83}{5 - 4}[/tex]

[tex]Rate = \frac{162}{1}[/tex]

[tex]Rate = 162[/tex]