Subm
What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4, -6)?

Answers

Answer 1

Answer:

y + 6 = - 2(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y + b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 2 and (a, b) = (4, - 6) , thus

y - (- 6) = - 2(x - 4) , that is

y + 6 = - 2(x - 4)


Related Questions

Write the sentence as an equation.
292 decreased by p is the same as 27
Type a slash (/)if you want to use a division sign.

Answers

282-p=27

I’m not sure if this is what you meant

(06.06 MC) The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:

Step 1: 8 + 12x
Step 2: 4(2) + 4x(2)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x

In which step did the student first make an error and what is the correct step?

Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)

Step- by- step explanation

Answers

Answer:

step 2

Step-by-step explanation:

theres a one in front of the () meaning it should have look like this

4+4x+2

Answer:The correct option is 2.Step-by-step explanation:It is given that the area of a rectangle is 8+12x and width of the rectangle is 4.We need to find the dimensions of the rectangle.Area of a rectangle isIt means the factors of expression of area represent the dimensions.The correct steps are shown below:Step 1: 8 + 12xStep 2: 4(2) + 4(3x)Step 3: 4(2 + 3x) Step 4: Dimensions of the rectangle are 4 and 2 + 3x.Student made an error in step 2 and the correct step is 4(2) + 4(3x). Therefore the correct option is 2.

Brickey, your friend, makes minimum wage ($7.25 an hour) at his job. He uses 1 gallon of gas to get to and from work and pays $2.29 per gallon. What percent of an hours work is paid to fuel?

Answers

Answer:

ok so he makes 7.25 per hour and he waste 2.29 he is wasting the  31.5% of the salari

Step-by-step explanation:

you have to multiply 2.29 by 100 and divide it into the 7.25

2.29 X 100=229/7.25=31.5

Let $a \bowtie b = a+\sqrt{b+\sqrt{b+\sqrt{b+...}}}$. If $7\bowtie g = 9$, find the value of

Answers

Answer: g = 2

================================================

Work Shown:

[tex]a \bowtie b = a + \sqrt{b+\sqrt{b+\sqrt{b+...}}}\\\\7 \bowtie g = 7 + \sqrt{g+\sqrt{g+\sqrt{g+...}}} = 9\\\\\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 2[/tex]

After subtracting 7 from both sides.

Note how because we have an infinite sequence of nested radicals, we can let [tex]x = \sqrt{g+\sqrt{g+...}}[/tex] which means x is equal to 2 as well.

This lets us say

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}} = \sqrt{g+x} = x[/tex]

Solve the equation [tex]\sqrt{g+x}= x[/tex] for x to get

[tex]\sqrt{g+x} = x\\\\g+x = x^2\\\\x^2-x-g = 0\\\\x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-g)}}{2(1)}\\\\x = \frac{1\pm\sqrt{1+4g}}{2}\\\\x = \frac{1+\sqrt{1+4g}}{2} \ \text{ or } \ x = \frac{1-\sqrt{1+4g}}{2}[/tex]

Since x is positive, this means we only focus on the first equation in the last line above.

Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.

[tex]x = \frac{1+\sqrt{1+4g}}{2}\\\\2 = \frac{1+\sqrt{1+4g}}{2}\\\\4 = 1+\sqrt{1+4g}\\\\3 = \sqrt{1+4g}\\\\9 = 1+4g\\\\1+4g = 9\\\\4g = 8\\\\g = 2\\\\[/tex]

As a check, we can do the following

[tex]7 + \sqrt{2+\sqrt{2}} \approx 8.84775906502258\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2}}} \approx 8.96157056080647\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}} \approx 8.9903694533444\\\\[/tex]

we're slowly approaching 9

Answer: [tex]g = \boxed{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=2[/tex]

implies that

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=\sqrt{g+2}=2[/tex].

Squaring both sides of this new equality, we have [tex]g + 2 = 4 \implies g = \boxed{2}[/tex]

Choose the algebraic expression that represents the area of a triangle that has a base 8 inches less than 2 times wider than the hight.?

A. (1/2)(2b+8)(b)
B. (1/2)(2h-8)(h)
C. (1/2)(2h)(h-8)

I’m not sure if it’s either B or C

Answers

Answer:

B. (1/2)(2h-8)(h)

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Let

Height = h

Base = 8 inches less than 2 times wider than the hight

= 2h-8

Substituting the values of base and height into the formula

We have,

Area of a triangle = 1/2 × base × height

= 1/2 × (2h-8) × h

= (1/2)(2h-8)(h)

The correct answer is option

B. (1/2)(2h-8)(h)

Multiple choice algebra question

Answers

Answer:

Vertical translation of 4 units.

Step-by-step explanation:

If you add 4 to y, you would move up 4 because the y axis is vertical.

How is 0.02 the same and different from 0.002

Answers

Answer:

0.02 is different from 0.002 because 0.02 is greater than 0.002

0.02 and 0.002 are the same because they are both decimal numbers

Step-by-step explanation:

0.02 = 2 / 100

0.002 = 2 / 1000

0.02 < 0.002

0.02 is different from 0.002 because 0.02 is greater than 0.002

0.02 can also be written as 2 × 10^2

0.002 can also be written as 2 × 10^3

0.02 and 0.002 are the same because they are both decimal numbers

Two friends went fishing on a lake. One friend's lure went 23 feet below the lake's surface, while the other friend's lure sank to a depth of 81 feet below the surface. What was the difference in the depths of the lures?

Answers

Answer:

[tex]Distance = 58\ feet[/tex]

Step-by-step explanation:

Represent the lure's difference with A and B;

[tex]A = 23\ feet[/tex]

[tex]B = 81\ feet[/tex]

Required

Determine the difference in depth between the lure's depth

The distance is calculated as follows;

[tex]Distance = B - A[/tex]

Substitute 23 feet for A and 81 feet for B

[tex]Distance = 81\ feet - 23\ feet[/tex]

[tex]Distance = 58\ feet[/tex]

Hence, the distance between both lure's is 58 feet

The weight in pounds of a baby in the first six months of life can be modeled by the
function w = 1.5m +7, where x is the age of the baby in months. According to this model,
what is the weight, in pounds, of a baby at 5 months of age? Numerical answer only.

Answers

Answer:

14.5

Step-by-step explanation:

You would plug 5 into the equation for m and have w = 1.5 (5) + 7

Then you would multiply 1.5 and 5 and get 7.5 and then add 7 and get 14.5

The weight of the baby in pounds at 5 months of age is 14.5 pounds.

Given,

The weight in pounds of a baby in the first six months of life can be modeled by the function:

w = 1.5m +7, where x is the age of the baby in months.

According to this model, we need to find what is the weight, in pounds, of a baby at 5 months of age.

What is a function?

A function has an input and an output.

Example:

f(x) = x + 1

x = 1, f(1) = 1 + 1 = 2

Here,

x = 1 is the input and 2 is the output.

We have,

Function:

w = 1.5m + 7

We can consider that m = number of months.

This is why the question says this model can be used to find the weight of the baby in the first six months by putting m = 6.

w = 1.5m + 7

Here,

7 = the weight of the baby at birth

1.5m = baby weight increases by 1.5 per month.

Now,

The weight in pounds of the baby at 5 months of age is:

m = 5 months

w = 1.5 m + 7

w = 1.5 x 5 + 7

w = 7.5 + 7

w = 14.5 pounds.

Thus the weight of the baby in pounds at 5 months of age is 14.5 pounds.

Learn more about how to find weight in pounds of a given person here:

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ter 1: Interval Notation and Set Notation > Section Exercises 1.1 > Exercise 37
You are marking a rectangular paintball zone that must be 34 meters wide and have a perimeter of at least 140 meters but not more than 260 meters Find the interval for
the length 2 of the rectangular paintball zone. Write your answer in interval notation,
The interval for z is

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Width(w) of rectangular paintball must be = 34 meters

Perimeter of atleast 140m but not more than 260 meters

Perimeter of a rectangle (p) : 2 (l + w)

P = 140

Then ;

140 = 2(l + 34)

140 = 2l + 68

140 - 68 = 2l

72 = 2l

l = 72/ 2 = 36 meters

P = 260

260 = 2(l + 34)

260 = 2l + 68

260 - 68 = 2l

192 = 2l

l = 192/ 2 = 96 meters

Hence the length must be between 36 meters and 96 meters

The interval z, for the length :

36 ≤ z ≤ 96

I also need help with 1,000,000 in exponential form , 10x10 , and 10,000 x10 please

Answers

Answer:

1,000,000= 10^6

10 times 10 is 100 (10^2)

10,000 times 10 is 100,000 (10^5)

Write a proportion to solve this problem When planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 use their function room the guests they planned on inviting . They have since changed their plans and expect to invite 107 guests. How much should they plan to pay for the function room ?

Answers

Answer:

or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.

Step-by-step explanation:

Find the missing factor 8^3=(-2x)(A)

Answers

-256.

how? 8 times 8 times 8 is 512.

512/2 is 256. But two negatives make a positive. So, it's -256.

The answer would be -256

3x to the power of 2 +6x=0 what is the degree of this polynomial?

Answers

Answer:

[tex]\huge\boxed{2}[/tex]

Step-by-step explanation:

Given Polynomial is:

[tex]3x^2 + 6x = 0[/tex]

Degree of polynomial is the highest power on the variable.

Here 2 is the highest power on the variable, So, it is the degree of polynomial.

can you help me solve this​

Answers

Answer:

6 hours

Step-by-step explanation:

Subtract 553 from 265 to find the price without parts, we get 288

then divide 288 by 48. We get 6

This means 6 there was 6 hours of labor

What are the maximum and minimum values for the measurement 15 cm?

Answers

Answer: (14.5cm, 15.4cm)

Step-by-step explanation:

We have a measure of 15cm.

This may be a rounded up or rounded down number.

Now, when we want to round at a given digit, we need to see to the previous digit.

If the previous digit is larger than 5, then we round up.

If the previous digit is 5 or smaller, then we round down.

Then, the largest number such that we rounded down to 15cm, is:

15.4cm

The smallest number such that we rounded up to 15cm is:

14.5cm

Then the range of possible values is:

plz answer it, plz answer it, plz answer it.

Answers

Given that :-

x+y < 5

3 < x < 5

To Find :-

Value of y

Solution :-

The fist expression x + y < 5 states that sum of x and y could be any rational number less than 5 .

And the second expression 3 < x < 5 states that value of x could be any rational number between 3 and 5.

Let's check which option suits best.

Is it possible to have value of 8/3 by y ?

→ x + 8/3 < 5

→ x < 5 - 8/3

x = 7/3

7/3 is a rational number . So y as 8/3 is possible value.

7/3 = 2.33

But value of x should be greater than 3 .

So option A is wrong.

Is it possible to have value 2 by y ?

→ x +2 < 5

→ x < 5-2

→ x < 3 .

But value of X should be greater than 3.

So option B is also incorrect.

Is it possible to have value 0 by y?

→ x +0 <5

→ x < 5

It also fullfill 2nd expression that X should have value less than 5 and greater than 3.

So option C is valid .

Value of y is 0 .


Diagram 2 shows a piece of rectangular card in grey colour

The white region is a ribbon with width y cm. The area of the card which is not covered by the ribbon is 96 cm.

Form an equation, in terms of x and y, based on the statements above.

Answers

Solution:

we have given the length of the rectangular card-

[tex]x + 5 \: cm[/tex]

and, width-

[tex]7 \: cm[/tex]

now, the area of the card will be- length×width.

so, we have-

[tex](x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2} [/tex]

we also have given the length of ribbon-

[tex]7 \: cm[/tex]

and, width-

[tex]y \: cm[/tex]

so, area of the ribbon is-

length×width

[tex]7 \times y \: cm^{2} \\ 7y \: cm^{2} [/tex]

now the area of shaded gray region will be-

[tex]7x + 35 - 7y[/tex]

Hence, the required expression would the above expression.

What is x^-4/x^8??????

Answers

Answer:

1 / (x^12)

Step-by-step explanation:

x^-4 = 1/x^4

1 / (x^4)(x^8) = 1/ (x^12)

x^-4/x^8 = x^(-4-8) = x^-12

the sum of 2 positive integers is 3. the sum of their squares is 5. find the 2 numbers

Answers

Answer:

2 and 1

Step-by-step explanation:

1 + 2 = 3

(1*1) + (2*2) = 5

Answer:

2 and 1

Step-by-step explanation:

just simply subtract the sum of two numbers from one of the given numbers that is 3-2=1

now simpliy take the square of 1 and 2

1+4=5

Amy and Jed are among the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number of people in front of Amy plus the number of people behind Jed is 24. If there are 15 people behind Amy, including Jed, how many people are in front of Jed

Answers

Answer: 29

Step-by-step explanation:

Given : Total people in the line = 35

Number of people behind Amy = 15

Number of people in front of Amy   = Total people - (Amy and people behind Amy)

= 35-15-1

= 19

According to the question,

Number of people in front of Amy + Number of people behind Jed =24

⇒ 19 +  Number of people behind Jed =24

⇒  Number of people behind Jed =24 -19 = 5

Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)

= 35-(5+1)

= 35-6=29

Hence, there are 29 people are in front of Jed.

the sum of a number and 4 is 6 1/2

Answers

Answer:

X=2

Step-by-step explanation:

let say x is the variable that we want to found .

x + 4 =6 1/2

X + 4 = 6

X= 2

The number is [tex]2\frac{1}{2}[/tex].

What is a sum?

A summation, also called a sum, is the result of arithmetically adding numbers or quantities.

Given that, the sum of a number and 4 is [tex]6\frac{1}{2}[/tex]

Let the number be x

x + 4 = [tex]6\frac{1}{2}[/tex]

 x [tex]x= 6\frac{1}{2} - 4\\= 2\frac{1}{2}[/tex]

Hence,  the number is [tex]2\frac{1}{2}[/tex].

For more references on sum, click;

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A triangle is inscribed in a rectangle as shown below what is the area of the shaped region

Answers

The area of the shaded region is [tex]47.5cm^2[/tex].

Area of the shaded region.

The area of the shaded region is the area of the whole region minus the area of the unshaded region.

How to find the area of the shaded region?

The area of the whole region is equal to the area of the rectangle as a triangle is inscribed in a rectangle and the area of the unshaded region is equal to the area of the triangle.

Then the area of the shaded region will be the area of the rectangle minus the area of the triangle.

The area of the rectangle will be [tex]A_{1}=base\times height[/tex] where the base = 11 cm and height = 5cm.

Then we will get

[tex]A_{1}=11\times5\\A_{1}=55cm^2[/tex]

Now the area of the triangle is [tex]A_{2}=\dfrac{base\times height}{2}[/tex] where the base = 5cm and the height = 3cm.

Then we will get

[tex]A_{2}=\dfrac{5\times3}{2} \\A_{2}=\dfrac{15}{2}\\ A_{2}=7.5[/tex]

Then the area of the shaded region will be [tex]55-7.5=47.5cm^2[/tex].

So, the area of the shaded region is [tex]47.5cm^2[/tex]

Learn more about the area of a triangle here- https://brainly.com/question/11952845

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A scientist is conducting a study on the effect of eating chocolate and overall mood. They believe that gender is a significant factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to consume either chocolate or a placebo and then rate their mood for the day. This experiment will run for two weeks. Which type of experimental design does this situation describe?
A. Randomized Block Design.
B. Matched-Pair Design.
C. Case-Control Design.
D. Completely Randomized Design.

Answers

Answer:

The correct option is;

A. Randomized block design

Step-by-step explanation:

A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.

In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.

easy 10 points and brainliest :)

Answers

Answer:

y=0

Step-by-step explanation:

branliest

Answer:

2. Y=O

Step-by-step explanation:

I really don't have a good explanation but that's it

Write the slope intercept form of the equation for the line.

Answers

Answer:

y = 2x -1

Step-by-step explanation:

y = mx + b

On the y-axis which is the vertical line, it touches the line is on -1.

Therefore, -1 is the y-intercept which is b.

y = mx - 1

Now the slope since it goes up 2 and right one to reach a point again the slope is 2/1 which basically just 2.

Now y = 2x - 1

Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3} 3 1 ​ start fraction, 1, divided by, 3, end fraction of a sheet to each of the 454545 students at recess. She wants to give teachers 1\dfrac{1}{2}1 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction sheets each.

Answers

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Noor bought 21 sheets of stickers

She gave 1/3 sheets to each 45 students

She wants to give teachers 1/2 of sheets

The question should be: how many teachers will she give

Total sheets=21

Students gets= 1/3 × 45

=45/3

=15 sheets

Remaining sheet= total sheets - students sheets

=21-15

=6 sheets

There are 6 sheets remaining for teachers

She wants to give 1/2 to each teacher

Then,

The number of teachers that will get =Remaining sheets ÷ each teacher's share

=6 ÷1/2

=6 × 2/1

=12 teachers

12 teachers will get 1/2 sheets each

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Please help with questions 7-10! I have to turn it in soon and I’m so lost!

Answers

Answer:

7)c

8)d

9)b

10)a

Step-by-step explanation:

Is 5 a rationl or a irratinal

Answers

I hope this helps! :)

5 is a rational number!

Pls mark as BRAINLIEST

5 is a rational number because it can be written as a fraction; [tex]\frac{5}{1}[/tex]

♡ Hope this helps! ♡

❀ 0ranges ❀

please help to be marked brainliest number is 13

Answers

Answer:

C. 7500

Step-by-step explanation:

We must simply find out what 25% of 30,000 is.

Multiply .25 by 30,000 which equals 7,500

Answer:

7500

Step-by-step explanation:

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