Problem
Write the slope of the line containing each pair of points.
1. (3,4) and (5,7)

Answer:

Step-by-step explanation:

If this is in terms of angles, 4x+6 must be equal to 90 since it is half of the angle produced by a line (180°) So solving for 4x+6=90, x=21

Answer:

A: Only (2,3)

Step-by-step explanation:

1. 3-3 = 5(2-2) WORKS! (2,3)

2. 2-3 = 5(3-2) Does not work :(

Answer:

Only A

Step-by-step explanation:

If you plug in x or y into the equation, only (2, 3) works

Answer:

1/2.

Step-by-step explanation:

The inclination of the line to the x axis = 1/3*√3

= √3/3.

This is the tangent of the angle.

The sine of the angle =√3/hypotenuse.

The hypotenuse = √( √3)^2 + 3^2)    (By the Pythagoras theorem)

= √12

= 2√3

Therefore the required sine is  √3/  2√3

= 1/2.

I think that's what you want!!

Answer:

A, B, F

Step-by-step explanation:

2/3 - x + 1/6 = 6x

Collect like terms

2/3 + 1/6 = 6x + x

(4+1) / 6 = 7x

5/6 = 7x

x = 5/6 ÷ 7

= 5/6 × 1/7

x = 5/42

a) 4 - 6x + 1 = 36x

4 + 1 = 36x + 6x

5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

b) 5/6 - x = 6x

5/6 = 6x + x

5/6 = 7x

This is equivalent to the third step of the simplification

c) 4 - x + 1 = 6x

4 + 1 = 6x + x

5 = 7x

x = 5/7

Not equivalent to any of the steps in the simplification above

d) 5/6 + x = 6x

5/6 = 6x - x

5/6 = 5x

x = 5/6 ÷ 5

= 5/6 × 1/5

x = 5/30

Not equivalent to any of the steps in the simplification above

e) 5 = 30x

x = 5/30

Not equivalent to any of the steps in the simplification above

f) 5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

Answer:

dx. = yex ⇒ dy y. ∫. = x ... 2 xx dx. ∫. , i.e. yx = 4. 4 x c. +. Hence y = 3. 4 x c x.

Answer:

cos x= 11/19

x=54.62

Step-by-step explanation:

use cosine to find the angle

Answer:

96 yuan

Step-by-step explanation:

We know how much one yuan is, so we can convert that to $1, Then multiply by 600. To find a USD, we need to divide the yuan by the dollar.

[tex]1/6.11=0.16[/tex]

Now we have a full dollar, and we need to multiply the yuan by 600 to get our 600 dollar value.

[tex]0.16*600=96[/tex]

Answer:

i might be wrong but this is what i put

Step-by-step explanation:

In question 3 it was comparing three triangles where now it is using the triangles to find the area of a square instead of proving that they are the same.

Answer:

It's D.  6x^3-5x^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4x^3+x^2+2(x^3-3x^2)

4x^3 + x^2 + 2x^3 -6x^2 (Distributed 2 through the parenthesis)

= 6x^3 -5x^2

Answered by Gauthmath

Answer:

-x+5

hope this help!!!

Step-by-step explanation:

Answer:

The margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity is of 0.1219.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A simple random sample of 49 8th graders at a large suburban middle school indicated that 84% of them are involved with some type of after school activity.

This means that [tex]n = 49, \pi = 0.84[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].  

Margin of error:

[tex]M = 2.327\sqrt{\frac{0.84*0.16}{49}} = 0.1219[/tex]

The margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity is of 0.1219.

Answer:

72 sq ft

Step-by-step explanation:

A = l × w

320 = 20w

------    ------

20       20

16    =    w

16 + 16 + 20 + 20

^      ^

  32 + 20 + 20

            ^       ^

    32 + 40

         72

The perimeter is 72 square feet.

Hope this helped.

Answer:

128.06

Step-by-step explanation:

think about the diagonal of the field, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (80, and 100) and now we have to solve for the hypotenuse (or the diagonal). so use pythagorean theorem :

80^2 + 100^2 = c^2

16400 = c^2

c = 128.06

Hi there!

-10-2 is equal to -12, not -8. This changes everything.

The fraction would be -12/16, which simplifies to -3/4.

I hope this helps!

Answer:

1st red box:

-10 - 2 = -12

2nd box above:

-3

3rd box:

4

Answer:

3 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hyp

sin 60 = ZY / 6

6 sin 60 = ZY

6 (sqrt(3) /2) = ZY

3 sqrt(3) = ZY

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

see this attachment ☝☝

Answer:

8/27

Step-by-step explanation:

Step 1: G_ _ gle

  Answer: 8/27

Answer:

3 9/50

Step-by-step explanation:

3.18 is 3 18/100

Simplifying it further you get: 3 9/50

Answer:

OAmalOHopeO

Answer:

The graph solution is defined in the attachment file please find it.

Step-by-step explanation:

The first line equation:

[tex]\to Y= 0.22x + 67.5\\\\[/tex]

The second line equation:

[tex]\to Y= 0.15x + 75.507\\\\[/tex]

Intersection points:

[tex]\to (114.387,92.665)\\\\[/tex]

By adding the value of the first year (1970) into the x-value that is

[tex]\to 114.387+1970=2084.387[/tex]

Answer:

1/25 of a mile per minute, I think

Step-by-step explanation:

Answer:

1/25

Step-by-step explanation:

V=S:t=1/5÷5=1/5*1/5=1/25

Answer:

GH

Step-by-step explanation:

A secant is a straight line which cuts the circle at 2 points

GH and FE both do this but FE is a special secant, that is the diameter

Then GH is a secant

Answer:

I think the answer is C.

Answer:

(-7, 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify

y - 3 = 4(x + 7)

↓ Compare to Point-Slope Form

Point (-7, 3)

Slope m = 4

Answer:  B.  $65

Simply add the values given to get: 20+20+10+10+5 = 40+20+5 = 65

Given that,

Patrice bought a can of soda using the following coins.

→ $20, $20, $10, $10, and $5.

We have to,

find the amount of money she spend.

Now add all coins,

→ {20 + 20} + {10 + 10 + 5}

→ 40 + 25

→ $ 65

Hence, option (B) is the answer.

Answer:

[tex]\frac{1}{2} * \frac{1}{100} *80,000[/tex]

"400"

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

slope = rise/run

rise is a vertical distance

run is a horizontal distance

We need to find the rise and run between two points on the line.

Look at the point where the line crosses the y-axis. We need to go to another point on the line by going only vertically and horizontally.

Now start at that point, go 2 units up. The rise = 2. Now turn right and go 5 units to the right. The run = 5. You got to another point on the line.

rise = 2

run = 5

slope = rise/run

slope = 2/5

See the picture below.

Answer:

The graph is shifted 7 units right and 5 units up.

Answer:

I am currently taking a unit test and I just got this question. I believe it is the answer but I haven't submitted yet.

Step-by-step explanation:

The answer I chose seems to be the only logical answer.

Answer:

30

Step-by-step explanation:

Angle PNM = 180-105

                   = 75

IF PM = PN  then

<PNM = <PMN = 75

<PMN + <PNM + <P = 180 since they form a triangle

75 + 75 + x = 180

150+x = 180

x = 180-150

x = 30

Answer:

Step-by-step explanation:

180° - <PNQ = <PNM ( Angles in a straight line )

180° - 105° = 75°

<PMN = < PNM = 75°

<PMN + <PNM + <MPN = 180°

75 ° + 75° + <MPN = 180°

<MPN = 180° - 150°

<MPN = 30°

Answer:

x = 6

Step-by-step explanation:

Since <F = <F, this shows that the triangles are similar. Therefore:

XZ/DF = XY/DE

12/8 = 9/X

Cross multiply

12X = 9*8

12X = 72

X = 72/12

X = 6

Hence the value of x is 6

Answer:

Step-by-step explanation:

10 people don’t play volleyball 120-10=110 110 play one or both games 90+72 =162 which is > 110 by 52

There are 52 people who play volleyball as well as football.

Let A, B be two different sets the,

n (A ∪ B) = n (A) + n (B) − n (A ∩ B) .

"A Venn diagram is a diagram that uses overlapping shapes to illustrate the logical relationships between two or more sets."

For given situation:

Let set A: People playing volleyball

set B: People playing football

⇒ n(A) = 90

⇒ n(B) = 72

Given group is of 120 people.

10 people play neither of games.

This means, only 110 people play football or volleyball or both.

⇒ n(A ∪ B) = 110

Using the Inclusion Exclusion Principle,

n (A ∪ B) = n (A) + n (B) − n (A ∩ B)

⇒ 110 = 90 + 72 - n (A ∩ B)

⇒ n(A ∩ B) = 52

Therefore, 52 people play volleyball as well as football.

Venn-diagram for given information is as shown below.

Learn more about Venn diagram here:

https://brainly.com/question/14344003

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