HELP ME PLEASE ONLY k12 reasoning and proof

Given:

A line passes through the points (6,-7) and (-6,3).

To find:

The equation of line.

Solution:

If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (6,-7) and (-6,3). So, the equation of line is

[tex]y-(-7)=\dfrac{3-(-7)}{-6-6}(x-6)[/tex]

[tex]y+7=\dfrac{3+7}{-12}(x-6)[/tex]

[tex]y+7=\dfrac{10}{-12}(x-6)[/tex]

[tex]y+7=-\dfrac{5}{6}(x-6)[/tex]

Using distributive property, we get

[tex]y+7=-\dfrac{5}{6}(x)-\dfrac{5}{6}(-6)[/tex]

[tex]y+7=-\dfrac{5}{6}x+5[/tex]

Subtract 7 from both sides.

[tex]y=-\dfrac{5}{6}x+5-7[/tex]

[tex]y=-\dfrac{5}{6}x-2[/tex]

Therefore, the equation of line is [tex]y=-\dfrac{5}{6}x-2[/tex].

b = 0

To solve make b the subject so:

4b + 6 = 2 - b + 4

5b + 6 = 6

5b = 0

5 = 0/5

= 0

Answer:

The absolute value is 7.

Step-by-step explanation:

Because when a number has two lines between it you always make it positive.

Answer:

7

Step-by-step explanation:

|-7| means to switch it a positive and not a negative so |-7|=7

Answer:B

Step-by-step explanation:

The statement that best describes how muscles respond to weight training is:

Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.

Option D is the correct answer.

Weight training, also known as resistance training, involves performing exercises that place a load or resistance on the muscles.

This load creates small tears or damage to the muscle fibers, which the body then repairs and adapts to by making the muscle fibers larger and stronger.

We have,

Option A:

Weight training stretches the muscles' limits and makes the muscles longer, which is not an accurate description of how muscles respond to weight training.

While stretching exercises can increase muscle flexibility, weight training typically does not cause the muscles to become longer.

Option B

Weight training pushes the muscles' abilities, making the muscles gain endurance, which is partially true.

Weight training can increase muscle endurance by strengthening the muscles, but the primary response of the muscles to weight training is hypertrophy, not increased endurance.

Option C:

Weight training stimulates the muscles and causes the muscle fibers to sit closer together, which is not an accurate description of how muscles respond to weight training.

While weight training does stimulate the muscles, it does not cause the muscle fibers to sit closer together.

Thus,

Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.

Learn more about weight training here:

https://brainly.com/question/522620

#SPJ5

Answer:

25

Step-by-step explanation:

40%x = 10

40/100 x=10

x=10* 100/40

x = 25

Answer:

part to part

Step-by-step explanation:

Answer:person abov me

Step-by-step explanation:

Answer:

The probability is  [tex]P( 0.2 < p < 0.3) = 0.89751[/tex]

Step-by-step explanation:

From the question  we are told that

   The population proportion is  p =  0.25

   The sample size is  n  =  200  

Generally given that the sample size is large the mean of this sampling distribution is mathematically represented as [tex]\mu_{x} = p = 0.25[/tex]

 Generally the standard deviation is mathematically represented as

        [tex]\sigma = \sqrt{ \frac{ p (1- p ) }{n} }[/tex]

=>     [tex]\sigma = \sqrt{ \frac{ 0.25(1- 0.25 ) }{200} }[/tex]

=>     [tex]\sigma = 0.03062[/tex]

Generally the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm is mathematically represented as  

      [tex]P( 0.2 < p < 0.3) = P(\frac{ 0.2 - 0.25}{ 0.03062 } < \frac{p- \mu_{x}}{\sigma } < \frac{ 0.2 - 0.25}{ 0.03062 } )[/tex]

[tex]\frac{p -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \  p )[/tex]

=>   [tex]P( 0.2 < p < 0.3) = P(-1.6329 < Z <1.6329 )[/tex]

=>   [tex]P( 0.2 < p < 0.3) = P( Z< 1.6329) - P( Z <- 1.6329 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.6329 and  -1.6329  is

    [tex]P( Z< 1.6329) = 0.94875[/tex]

and

    [tex]P( Z <- 1.6329 ) = 0.051245[/tex]

So

   [tex]P( 0.2 < p < 0.3) = 0.94875 - 0.051245[/tex]

=> [tex]P( 0.2 < p < 0.3) = 0.89751[/tex]

Answer:

50.50$

Step-by-step explanation:

8.5x+25

x is the hours

8.5(3)+25= 50.50

Answer:

Mr. Pharm will earn $108.50 in two years, having deposited $1,500 into an account earning 3.5% simple interest.

Step-by-step explanation:

1550 * 3.5% * 2 = $108.50

Answer:

m∠1 = 140°

m∠2 = 40°

m∠3 = 65°

m∠4 = 75°

m∠5 = 115°

Step-by-step explanation:

We will use a few different methods to find the angles:

A triangle's angles will always add up to 180°. With this information, we can find the last angle of the triangle on the left:

∠1+∠2+∠3=180°

60+80+∠3=180°

Let x represent the value of ∠3. Simplify addition:

[tex]140+x=180[/tex]

Subtract 140 from both sides:

[tex]140-140+x=180-140\\\\x=40[/tex]

The unknown angle is 40°. With this information, we can find the

m∠1:

m∠1 and the 40° we just found are supplementary angles, which means that their measures will add up to a total of 180°.

∠1+∠2=180°

Insert the value we know:

40°+∠2=180

Let x represent the value of ∠2. Subtract 40 from both sides:

[tex]40-40+x=180-40\\\\x=140[/tex]

There fore:

m∠1=140°

We can use this same rule to find the m∠2:

∠1+∠2=180°

or, we can use the vertical angles rule. The first angle we found (Which is 40°) is a vertical angle to m∠2, so they have the same value. Therefore:

m∠2=40°

To find m∠3, we need to find the other missing angle in the middle triangle. Use the supplementary angle rule, since the missing angle is supplementary to the angle that is 105°:

∠1+∠2=180°

Insert the known values, substituting x for the unknown angle:

[tex]x+105=180[/tex]

Subtract 105 from both sides:

[tex]x+105-105=180-105\\\\x=75[/tex]

The unknown angle is 75°. Now find m∠3, knowing that triangles add up to 180°:

m∠2+m∠3+75=180

Insert the m∠2, make m∠3 be x:

[tex]40+x+75=180[/tex]

Simplify addition:

[tex]115+x=180[/tex]

Subtract 115 from both sides:

[tex]115-115+x=180-115\\\\x=65[/tex]

Therefore:

m∠3=65°

To find m∠4, use the vertical angle rule.

Therefore:

m∠4=75°

To find m∠5, we could find all triangle measures of the least triangle, or we can use the following:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

The m∠5 is the exterior angle, and the opposite interior angles are 75° and 40°:

[tex]75+40=115[/tex]

Therefore:

m∠5=115°

:Done

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

Answer:

Step-by-step explanation:

A.

Given parameter:

  Side length  = 9cm

Unknown;

Area of the square  = ?

Solution:

The shape given is a square.

 Area of a square  = L²

 L is the side length

  Insert the parameters and solve;

     Area of the square  = 9²  = 81cm²

B.

Given parameters:

Area of the square = 9cm²

Unknown:

Side length  = ?

Solution:

The shape is a square;

  Area of a square  = L²

         9  = L²

          L = √9 = 3cm

Answer:

y= -5x + -7 is your answer

Answer:

680 oranges

15 levels

Step-by-step explanation:

Add 2, add 3, add 4, add 5.....

1+3+6+10+15+21+28+36+45+55+66+78+91+105+120=680

15 levels

He can’t add a 16th level, because it would have 136 oranges, which would put him over 800.

Answer:

15 levels, 680 oranges.

Step-by-step explanation:

Guess an check. The first 15 add to 680. The 16th is 136. 680+136=810, which is over 800.

Answer:

27/4

Step-by-step explanation:

To find the answer, all you would need to do is multiply the denominator by the whole number and add the numerator. And so if you multiply the denominator (4) by the whole number (6) , and add the numerator (3) , you will get the answer: 27/4

Answer:

27/4

Step-by-step explanation:

6*4=24

24+3=27

Answer:

probability of choosing a green candy is 1/4

Answer:

x = -0.5

Step-by-step explanation:

Answer:

This cannot be simplified any further. That is the simplest you'll get.

He will use as much paper that will work

Answer:

The probability is 31/35

Step-by-step explanation:

Answer:

i know a nice song it's called hi guy. you are cool and smart

Step-by-step explanation:

you should take a bath everyday

Answer: The answer will be (2,-3) it’s 2 to the right and 3 down.

Step-by-step explanation: yay

Answer:

Hence, option 'd' is correct.

Step-by-step explanation:

Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.

Therefore, we conclude that

Hence, option 'd' is correct.

Answer:

t = 4 or t = -16

Step-by-step explanation:

Let's solve your equation step-by-step.

2+|t+6|=12

|t+6|+2=12

Step 1: Add -2 to both sides.

|t+6|+2+−2=12+−2

|t+6|=10

Step 2: Solve Absolute Value.

|t+6|=10

We know eithert+6=10 or t+6=−10

t+6=10(Possibility 1)

t+6−6=10−6(Subtract 6 from both sides)

t=4

t+6=−10(Possibility 2)

t+6−6=−10−6(Subtract 6 from both sides)

t=−16

Answer:

17 grams

Step-by-step explanation:

Answer:

39 R 10

Step-by-step explanation:

18 goes into 586 evenly 32 times, but there is 10 left over, making that the remainder.