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4 years ago

Help, please and thank you

Mathematics

1 answer:

Gala2k [10]4 years ago

8 0

Answer:

see below

Step-by-step explanation:

The answer is a list of arcs. That means you can ignore the answer choices that are lists of angles or line segments.

The only requirement is that the end points of the arc lie on the circle. Points M, N, P, Q, R are all on the circle, and all are at the end of line segments that intercept them. Any combination of these letters will define an intercepted arc.

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Drag the tiles to the correct boxes to complete the pairs.

Alborosie

Answer:

f(x) = x3 − 3x2 − 13x + 15 Factor: x+3

f(x) = x4 + 3x3 − 8x2 + 5x − 25 Factor: x+5

f(x) = x3 − 2x2 − x + 2 Factor: x-2

f(x) = -x3 + 13x − 12 Factor: x+4

Step-by-step explanation:

f(x) = x^3 − 3x^2 − 13x + 15

Solving:

We will use rational root theorem: -1 is the root of x^3 − 3x^2 − 13x + 15 so, factor out x+1

x^3 − 3x^2 − 13x + 15 / x+1 = x^2-2x-15

Factor: x^2-2x-15 =(x+3)(x-5)

So, factors are: (x+1)(x+3)(x-5)

Factor: (x+5)

f(x) = x^4 + 3x^3 − 8x^2 + 5x − 25

Solving:

We will use rational root theorem: -5 is the root of x^4 + 3x^3 − 8x^2 + 5x − 25, so factour out (x+5)

x^4 + 3x^3 − 8x^2 + 5x − 25 / x+5 = x^3-2x^2 +2x -5

So, factors are (x+5) (x^3-2x^2 +2x -5)

Factor: x+5

f(x) = x^3 − 2x^2 − x + 2

Solving:

x^2(x-2)-1(x-2)

(x-2)(x^2-1)

(x-2) (x-1) (x+1)

Factor: x-2

f(x) = -x^3 + 13x − 12

Solving:

-(x^3 + 13x -12)

We will use rational root theorem:

The 1 is a root of (x^3 + 13x -12) so, factor out x-1

Now solving (x^3 + 13x -12)/x-1 we get (x-3)(x+4)

So, roots are: - (x-1)(x-3)(x+4)

Factor (x+4)

7 0

4 years ago

Read 2 more answers

Trudy is starting a comic book collection. Let Cn represent the number of comic books that Trudy has after n weeks. The recursiv

vitfil [10]

Answer:

(A)

$C_n=3+2n$

(B)

$C_1_0=23$

Step-by-step explanation:

(A)

we are given

$C_n_+_1=C_n+2$

$C_1=5$

Firstly, we will find few terms

$C_2=C_1+2$

$C_2=5+2$

$C_2=7$

$C_3=C_2+2$

$C_3=7+2$

$C_3=9$

$C_4=C_3+2$

$C_4=9+2$

$C_4=11$

so, we will get terms as

5, 7 , 9 , 11

we can see that this is arithematic sequence

First term =5

common difference =d=7-5=2

now, we can use nth term formula

$C_n=C_1+(n-1)d$

now, we can plug values

$C_n=5+2(n-1)$

$C_n=5+2n-2$

$C_n=3+2n$

(B)

we can plug n=10

$C_1_0=3+2\times 10$

$C_1_0=23$

8 0

3 years ago

Please find the surface area of the cone (image attached) and reduce answer to nearest tenth, if necessary.

Luba_88 [7]

Answer:

$S.A = 135.6 yd^2$ (

Step-by-step explanation:

Surface area of cone is given as:

Surface Area (S.A) = πr(r + l)

Where,

$r = radius = 3 yd$

$l = slant height = 11.4 yd$

Take π as 3.14

Plug the given values into the formula to find the surface area.

$S.A = 3.14*3(3 + 11.4)$

$S.A = 9.42(14.4)$

$S.A = 135.6 yd^2$ (rounded to the nearest tenth)

8 0

3 years ago

Find the perimeter of a train of 100 equilateral triangles if the triangles are joined side to side. Each side is one inch long.

yarga [219]

Answer:

102

Step-by-step explanation:

Each triangle will have a perimeter of 3. When joined, the outside triangles will have 2 sides showing, or 2 inches. The middle 98 will only have one free side, or one inch. This means that 98*1 + 2*2 = 102

7 0

3 years ago

Can somebody help me <br> -2(x+5)

Anika [276]

Answer: -2x - 10

Steps: -2(x+5)

Apply the distributive law [ a(b + c) = ab + ac ]:

a = -2, b = x, c = 5

-2x + (-2) × 5

Apply minus/plus rules: -2x - 2 × 5

Multiply the numbers: 2 × 5 = 10

-2x - 10

Plz mark brainliest:)

5 0

3 years ago