#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
what is the slope of line p? (Must reduce fraction) *
-3/2
3/2
9/4
- 2/3

Step-by-step explanation:

Options B and C are wrong because 0 as a numerator is totally fine as a real solution.

In Option A,

15(x² - 1) = 10(3x - 3)

15x² - 45x + 30 = 0

x² - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 or x = 2.

This is correct as x cannot be 1 (dividing by zero).

In Option D,

(x + 2)(x - 1) = 40

x² + x - 42 = 0

(x - 6)(x + 7) = 0

x = 6 or x = -7.

In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)

Hence the answer is A.

Answer:

It’s y = 3

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

Answer:

um im not sure if you need to simplify but then the answer would be 3 minutes to 8 minutes.

Answer:

i think its c

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

a) You go about this by using the given equation.

  Left + Right = Total

  JK + KL = JL

  (2x -3) + 11 = 4x

  8 = 2x . . . . . simplify, subtract 2x

  4 = x . . . . . . divide by 2

__

b) JL = 4x = 4·4

  JL = 16

Answer:

Yes, because a triangle can have any lengths.

Answer:

The last one

Step-by-step explanation:

its comparing 2 things without using like or as

Answer:

The park road would be a black ribbon rippling through the majestic landscape

I'm pretty sure :)

Step-by-step explanation:

Answer:

We accept H₀ we don´t have evidence of differences between the two toothbrushes

Step-by-step explanation:

Toothbrushes A

Sample mean                    μₐ = 119,7

Standard deviation           sₐ = 1,74

Sample size                        nₐ = 18

Toothbrushes B

Sample mean                    μ₀ = 120,6

Standard deviation           s₀ = 1,72

Sample size                        n₀ = 15

With  CI = 90 %      CI = ( -1,93 ; 0,13 ) that s the acceptance region for H₀

Test hypothesis    is      

H₀          μₐ =   μ₀  

Hₐ           μₐ ≠   μ₀  

We need to calculate t(s)  as

t(s) = (  μₐ -  μ₀ ) /Sₓ * √ (1/nₐ) + 81/n₀)

and see if it is insde CI

Sₓ  = (nₐ - 1 ) * sₐ² + ( n₀ - 1 ) * s₀² / nₐ + n₀ - 2

Sₓ  = 17*3,03 + 14*2,96 / 31

Sₓ  = (51,51 + 41,44 )/ 31

Sₓ = 2,998

t(s) = 0,9 / 2,998*√(1/18) + (1/15)

t(s) = 0,9 / 1,04

t(s) = 0,87

Answer:

Following are thew solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]

n = the number of work cycles for 95 confidence interval

z-score = 1.96

So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]  

[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]

[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]

     [tex]= 8.342943396\\\\[/tex]

[tex]n = 69.6047045[/tex]

   [tex]= 70[/tex]

Using the sample size formula, the number of samples required is 919.

From the data given :

Using the sample size relation thus:

Substituting the values into the equation :

[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]

[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]

Hence, the sample size required is 919.

Learn more : https://brainly.com/question/25609130

Answer:

Dimension: 2inches by 4 inches

Step-by-step explanation:

Given

[tex]Width = 2wice\ Length[/tex]

Required

Determine the dimension.

This is calculated as :

[tex]Area = Length * Width[/tex]

[tex]A = L * W[/tex]

So:

[tex]A=L * 2L[/tex]

[tex]A=2L^2[/tex]

Substitute 72 for A

[tex]72=2L^2[/tex]

Divide bith sodes by 2

[tex]36 = L^2[/tex]

Take square root of both sides

[tex]L = 6[/tex]

Recall that:

[tex]Width = 2 * Length[/tex]

Hence:

[tex]LEnhth= 0 * 2[/tex]

[tex]LEnhth= 2[/tex]

Hence, the dimension is: 2 by 3 inches

Answer:

The fourth root of -16/81, whose result is -0.19, is -0.66.

Step-by-step explanation:

To determine the fourth root of -16/81, you must first perform this mathematical operation, and then perform the radication of the result of it. Thus, the following process must be carried out:

-16 / 81 = X

-0.19 = X

4√0.19 = -X

0.66 = -X

-0.66 = X

Therefore, the fourth root of -16/81, whose result is -0.19, is -0.66.

Answer:

Step-by-step explanation:

Then the other angle must be 44 degrees as well.

Answer:

option C

Step-by-step explanation:

Group common terms

8u³+7u³+7u²-6u+6+6

15u³+7u²-6u+12

Answer:

7 metre

Step-by-step explanation:

Let the breadth of the room is x.m. , then the length is (x+2).m. , accordingly:-

(x+2).x. = 63.

or, x^2 +2 x - 63 = 0.

or, (x + 9).(x -7) =0.

or, x = - 9 (not valid) , 7 .

Thus , the length = (x+2).m.= (7+2) = 9.m. , breadth = x .m. = 7.m. , Answer.

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Merry Christmas good day

Answer:

A is false

Step-by-step explanation:

A triangle can be drawn with exactly 1 acute angle. FALSE

A triangle can be drawn with exactly one right angle. TRUE

A triangle can be drawn with more than one acute angle. TRUE

A triangle can be drawn with exactly one obtuse angle. TRUE

Answer:

Step-by-step explanation:

5 3/7= 38/7 (move the wholes into the fraction)

2 1/5=11/5

38/7- 11/5  we need the common denominator=35

190/35 -77/35= 113/35

=3 8/35

Answer:

I dont see the statements but this is a parabola. As you can see some of the ys repeat.

Step-by-step explanation:

Answer:

Option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Step-by-step explanation:

To determine which deal is better before taxes, the aforementioned discounts must be made at the original prices and their results compared, through the following calculations:

1)

320 - (320 x 15/100) = X

320 - 48 = X

272 = X

2)

349.49 - (349.49 x 75/100) = X

349.49 - 262.11 = X

87.37 = X

3)

280 = X

Therefore, as can be seen, option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Answer:

8274

Step-by-step explanation:

Answer:

Angle b is 63

Angle f is 59

Step-by-step explanation:

Answer:

Hey,

Let A be (-1,7)

Let B be (5,1)

In order to find the distance we need to do

[tex]d = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Once we plug x2=5 and x1=-1

and y2=1 and y1= 7

You get

[tex]6 \sqrt{2} [/tex]

Now to find the midpoint:

[tex]( \frac{x1 + x2}{2} \frac{y1 + y2}{2} )[/tex]

Using the same values defined above we get:

(2,4)

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Answer:

what're we supposed to do?

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

Answer:D and E I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

so the y-int is where the point is on the y-axis (0,X). Or, in this situation-2.

for slope, you just need to do rise over run, or up and down first then, left and right. If I do that for C, I go 2 up and 3 right. So the slope os 2/3 (P.S. up and right is positive, and down and left is negative)

Answer:

u = -25/7

Step-by-step explanation:

-7(u + 3) = 4

-7u -21 = 4 (distribute the -7)

-7u = 25 (add 21 to get -7u by itself)

u = -25/7 (divide by -7 by both sides to find the value of u)

Answer:

1 apple: 24 people

2 apples: 12 people

3 apples: 8 people

4 apples: 6 people

6 apples: 4 people

8 apples: 3 people

12 apples: 2 people

24 apples: 1 person

Step-by-step explanation:

The number of 6 people can have 4 apples each.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Priya is sharing 24 apples equally with some friends.

She uses division to determine how many people can have a share if each person gets a particular number of apples.

For example, 24 ÷ 4 = 6 means that if each person gets 4 apples,

then 6 people can have apples,

= 24 ÷ 6

= 4

Therefore, 6 people can have 4 apples.

To learn more about the division;

https://brainly.com/question/13263114

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I guess you're asking to compute the difference,

-3224₅ - 3434₅

Ignore the minus signs for now, and consider the sum

3224₅ + 3434₅

In the 5⁰ place (the rightmost digit) we have

4₅ + 4₅ = 8 = 13₅

Carry the 1 to the next place. In the 5¹ place,

2₅ + 3₅ + 1₅ = 6 = 11₅

Carry the 1. In the 5² place,

2₅ + 4₅ + 1₅ = 7 = 12₅

Carry the 1. In the 5³ place,

3₅ + 3₅ + 1₅ = 7 = 12₅

So,

3224₅ + 3434₅ = 12213₅

and hence

-3224₅ - 3434₅ = -12213₅

Answer:

14

Step-by-step explanation: