Find the distance between two points (-4,9) and (-2,1)

Answer:

The product of its roots is 6.

Step-by-step explanation:

Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:

[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)

[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)

According to statement, we know that:

[tex]r_{1}+r_{2} = 7[/tex] (3)

By applying (1) and (2) in (3), we have the following expression:

[tex]\frac{6\cdot m +1}{m} = 7[/tex]

[tex]6\cdot m + 1 = 7\cdot m[/tex]

[tex]m = 1[/tex]

If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:

[tex]x^{2}-7\cdot x +6 = 0[/tex]

[tex]r_{1} = 6[/tex]

[tex]r_{2} = 1[/tex]

And the product of the roots is:

[tex]r_{1}\cdot r_{2} = 6[/tex]

The product of its roots is 6.

Answer:

should be $133.86

Step-by-step explanation:

46.56 divided by 8 to get money per hour, then multiplied by 23 to get money earned after 23 hours

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

Answer: Answer is 1

Step-by-step explanation:

Answer:

$1100 approx

Step-by-step explanation:

Given data

SImple interest = $55

Time= 5 months in years = 5/12= 0.42 years

rate= 12%

Let the sum be P, that is the principal

The expression for the interest is given as

SI=PRT/100

substitute

55= P*12*0.42/100

Cross multiply

5500=5.04P

P= 5500/5.04

P= 1091.2

Hence the Principal is $1100 approx

Answer:

£8934.34

Step-by-step explanation:

[tex]8000 * 1.028^4 = 8934.34[/tex]

rounding to 2dp

if trunctuated at 2dp however, 8934.33

the number is multiplied by 1.028 to the power of four as you go through the equation four times, so it would be the same as

x * n * n * n * n, where it would simplify to x * n^4

Answer:

final answer is 21

Step-by-step explanation:

since x+y=7 and xy=10

2+5=7 and 2(5)=10

so,

(5)3=15  

(2)3=6

15+6= 21

So we take 6 out of each term so it is [tex]6(4+3v)[/tex] hope this helped.

Answer:

hey bby

Step-by-step explanation:

Answer:

22:25

She will wait for 15 min

Step-by-step explanation:

9:55 is 21:55 in 24h time

after 15 min it will be 22:10

the closest time will be 22:25

25-10 is 15

15 min waiting

Answer: 590

Step-by-step explanation: 17$ is 17% and times that by 3 because of the 3 weeks, then you have 68$ and I just added 300 to the rest and then just subtracted 68$

What can I say exept your not welcome :D

Answer:

there's a total of 388.8 kids in the class but you can have 0.8 of a person and you can't round a person up so just 388

Step-by-step explanation:

tldr: 388 people

Answer:

2

Step-by-step explanation:

4n-2n=4

2n=4

n=4/2

n=2

Answer:

x = 1/2QN^2

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

:This is FALSE Linear equations that share the same slope are PARALLEL.

:

!

<!> ! <!>

-

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 12

Step-by-step explanation: you need to look at the paper

Step-by-step explanation:

This would be the point of intersection.

If you are not given the graph, make the equations equal since they are both y = ____.

x + 3 = x - 1

  -3         -3

x = x - 4

-x  -x

-2x = -4

/-2     /-2

x = 2

So the answer would be D) (2,1)

Answer:

1 19/270!

Step-by-step explanation:

Anywho If you need to simplify this stuff, Go to M.athway! It helps you simplify and other things!

Answer:

I think its (2, 1) .

Step-by-step explanation:

the 2 represents the x axis

the 1 represents the y axis

12.1 yd

12.14 yd; round and get 12.1 yd

Answer:

4 cups

Step-by-step explanation:

Number of cups of milk for 5 servings = [tex]2\frac{1}{2} =\frac{5}{2}[/tex] cups

First find number of cups of milk for 1 serving.

Number of cups of milk for 1 serving = [tex]\frac{\frac{5}{2} }{5}=\frac{1}{2}[/tex] cup

Now find umber of cups of milk for 8 servings.

Therefore,

Number of cups of milk for 8 servings = [tex]8(\frac{1}{2})=4[/tex] cups

The question is incomplete:

Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels? The table that shows the types of bagels sold at the bagel shop on Friday is attached.

a. $70

b. $20

c. $90

d. $110

Answer:

c. $90

Step-by-step explanation:

First, you need to find the amount of bagels that Sasha purchased. The statement indicates that she buys all the chocolate chip bagels and the table shows that 28 chocolate chips bagels were sold, so that's the amount she purchased of this type of bagels. Also, the statement indicates that she buys half of the plain bagels and the table says that 16 plain bagels were sold, so you have to divide this amount by 2:

16/2=8

Then, you have to add the amount of chocolate chips bagels plus the amount of plain bagels that Sasha purchased:

28+8=36

Now that you know the amount of bagels that Sasha purchased, you have to multiply this for 2.50 that is the price per bagel:

36*2.50=90

According to this, the answer is that Sasha spends $90 on bagels.

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

Answer:

The picture is kinda blurry so I hope I've got it right.

a) x = 20°

b) x = 70°

c) x = 50°

Step-by-step explanation:

a) 2x + 3x + 4x = 180°

9x = 180°

x = 50°

b) (x - 20°) + (x - 20°) + (x + 10°) = 180°

3x - 30° = 180°

3x = 210°

x = 70°

c) (x + 10°) + (x + 20°) + x = 180°

3x + 30° = 180°

3x = 150°

x = 50°

Answer: Oop if you put that on spotify i would listen to that on repeattttttt

Answer:

Use photo math, it will explain it all in different forms

I'm sorry, but what exactly are the expressions?

If you comment the expression under my answer, I'll edit my answer and actually answer it.

But nobody can answer an expression that doesn't exist-

Answer:

If you use the formula it should help for your answer.

Step-by-step explanation:

Answer:

7. 6

8. 6

9. 12

10. 6

11. 12

12. 24

Step-by-step explanation:

The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24

It is the measure of distance between the two points is called a length.

D is the mid-point of CE. Then

CD = DE = 6

B is the mid-point of AC. Then

AB = BC

C is the mid-point of AE. Then

        AC = CE

AB + BC =  CD + DE

AB + AB = CD + CD

     2 AB = 2 CD

         AB = CD

         AB = 6

Then

AB = 6

BC = AB = 6

AC = AB + BC = 6 + 6 = 12

CD = DE = 6

CE = CD + DE = 6 + 6 = 12

AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24

More about the distance link is given below.

https://brainly.com/question/989117