The distance from town X to town Y is 200 km. The distance from town X to town Z is 135 km. Looking from town Y, town X and town Z are separated by an angle of 42

Given:

Degree of a polynomial = 3

Zeros of the polynomial = 0,5,8

f(10)=17

To find:

The polynomial function.

Solution:

The general form of a polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]

Where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.

Since, 0,5,8 are zeros of the polynomial, therefore, (x-0),(x-5), (x-8) are the factors of required polynomial.

[tex]f(x)=a(x)(x-5)(x-8)[/tex]           ...(i)

Putting x=10, we get

[tex]f(10)=a(10)(10-5)(10-8)[/tex]

We have f(10)=17.

[tex]17=a(10)(5)(2)[/tex]

[tex]17=a(100)[/tex]

[tex]\dfrac{17}{100}=a[/tex]

[tex]0.17=a[/tex]

Putting a=0.17 in (i).

[tex]f(x)=0.17(x)(x-5)(x-8)[/tex]

Therefore, the required polynomial is [tex]f(x)=0.17(x)(x-5)(x-8)[/tex].

Answer:

1.2 miles

Step-by-step explanation:

Answer:

it's answer is C 48 hours

Answer:

2 (D)

Step-by-step explanation:

it comes up the most (2 times )

Answer:

2 is repeated 2 times so the mode value of the given data is 2

Answer:

12345678

Step-by-step explanation:

gtrhtgkyikguko

Answer:

there are no solutions

Step-by-step explanation:

x^2+2x+2=0

N/A

Answer:

for 0.5 pounds size, we have 7.5

for 0.25 pounds size, we have 15

Step-by-step explanation:

Here, we want to calculate the number of each hamburger size that could be made

for 0.5 pounds size, we have that;

3.75/0.5 = 7.5

for 0.25 pounds, we have;

3.75/0.25 = 15

Answer:

An equation of the line that passes through point a and b, is y = 2x + 5.

.

Step-by-step explanation:

☆To find the slope, you can follow the slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Plug in!

[tex]m = \frac{ - 1 - 7}{ - 3 - 1} = \frac{ - 8}{ - 4} = 2[/tex]

☆This is the slope-intercept equation:

[tex]y = mx + b[/tex]

☆You have to plug in and solve for b, aka the y-intercept. Plug in the slope and the one set of coordinates.

[tex]y = mx + b \\ \\ 7 = 2(1) + b \\ 7 = 2 + b \\ \frac{ - 2 = - 2 \: \: \: \: \: \: \: \: \: \: \: }{5 = b \: \: \: \: \: \: \: \: \: \: } [/tex]

☆Now that we have the slope and y-intercept. We just need to put them together.

☆y = 2x + 5

Answer:

I believe the answer is C

Answer:

K=2

Step-by-step explanation:

4*2=8

5*2=10

10*2=20

The given triangles are congruent by AAS rule.

Therefore, the correct option is C.

Given is a figure which is divided into two triangles, we need to see if the triangles are congruent or not,

So,

The triangles have one pair of sides equal [shown].

The triangles have one pair of angles equal [shown].

Now the "hidden" pair of angles that are equal are the angles which are equal by vertically opposite angle postulate, [where the triangles meet].

In AAS congruency theorem, the triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Therefore, we can say that the triangles are congruent by AAS congruency rule.

Therefore, the correct option is C.

Learn more about congruent triangles click;

https://brainly.com/question/29116501

#SPJ2

Answer: check the photo

Step-by-step explanation: im taking the test rn

Answer:

CD=66

Step-by-step explanation:

12x-30=6x+18

6x=48

x=8

12(8)-30=66

CD=66

Answer:

i think its b

Step-by-step explanation:

Answer:

2.35 = 235 cents

235/5 = 47 nickels

47 - 33 = 14

14 X 10 = 140

235 - 140 = 95

95/5 = 19

14 + 19 = 33

14 dimes and 19 nickels

Answer:

i think so

Step-by-step explanation:

because its greater than or equal to it has to go to the left

Answer:

C =  [tex](\sqrt{3} +\sqrt{5} -i)[/tex]

[tex](\sqrt{3} +i)+(\sqrt{5} -2i)[/tex] =    [tex](\sqrt{3} +\sqrt{5} -i)[/tex]

Step-by-step explanation:

Given that the expression

           [tex](\sqrt{3} +i)+(\sqrt{5} -2i)[/tex]

simplification

  =    [tex](\sqrt{3} +\sqrt{5} -2i+i)[/tex]

 =    [tex](\sqrt{3} +\sqrt{5} -i)[/tex]

Answer:

Easy. The square there is a right angle which equals 90 degrees. So 180-16-90=74 degrees

Answer:

74

Step-by-step explanation:

A traingle has 180 degrees we know one of the angles is 16 and one is a right angle meaning its 90 degrees, add 16 + 90 and you will get 106, subtract 180 from 106 you will get 74.

Answer:

(x+4)^2-5

Step-by-step explanation:

To solve this we first need to shift the graph to the left 4 spots

We do this by adding 4 so we get

(x+4)^2

We then need the graph to go down 5 spots so we subtract by 5

This gives us

(x+4)^2-5

Answer:

A- The survey results will be inaccurate because lawns in one neighborhood do not represent all types of lawns in a large city.

Step-by-step explanation:

smile:)

Answer:

219.9cm

Step-by-step explanation:

Answer:

x= -15/2 y=-33/2

Step-by-step explanation:

i dont know how you want to solve it but if it is "system of equations" then first solve for the first variable in on e of the equations, then substitute the result into the other equation.

Answer:

[tex]20\:\mathrm{sheep}[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}2c+4s=140,\\c+s=50\end{cases}[/tex], where [tex]c[/tex] is the number of chickens and [tex]s[/tex] is the number of sheep.

Multiply the second equation by [tex]-2[/tex] and add both equations to solve for [tex]s[/tex]:

[tex]\begin{cases}2c+4s=140,\\-2c-2s=-100 \end{cases},\\2s=40,\\s=\fbox{$20$}[/tex].

Answer: 3 3/4

Step-by-step explanation:

From the question, we are informed that Jerome use 3 1/4 gallons of gasoline while driving from school to his baseball game.

Assuming that he originally had 7 gallons in his car, the amount of gasoline he have left will be:

= 7 - 3 1/4

= 3 3/4 gallons

Answer:

1 time

Step-by-step explanation:

You can see the graph I've attached below.

They both meet just once at (-1, -2).

Answer: $1.30

Step-by-step explanation:

Divide 10.40 by 8

Answer:

$1.30

Step-by-step explanation: Give me ur sn ap

Answer: sorry G. I don’t know it but....don’t worry I’m also failing

Step-by-step explanation:

I’m just like that