The slope of the line below is -2. Use the coordinates of the labeled point to
find a point-slope equation of the line.

4
-6)

Answers

Answer 1

Answer: y= -2x+2

Step-by-step explanation: y-y₁=m(x-x₁)

y-(-6)= -2(x-4)

y+6=-2x+8

y=-2x+8-6

y= -2x+2

Answer 2

Answer:

y + 6 = -2(x - 4)

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the slope m = -2 and the point (4, -6). Substitute:

[tex]y-(-6)=-2(x-4)\\\\y+6=-2(x-4)[/tex]


Related Questions

Write 0.0002507 in scientific notation.

Answers

Answer:

2.507* 10^-4

Step-by-step explanation:

0.0002507

We need to have one number to the left of the decimal

We move the decimal 4 places to the right

Since we moved the decimal to the right, the exponent on the power of 10 is negative

2.507* 10^-4

If 75 is 25% of a value, what is the value?

Answers

75/25 = x/100
x = 300
ANSWER: 300

CHECK ANSWER: 300 x .25 = 75

Since 25% of something is also 1/4 of something, multiply 25% by 4 to get the full value.

Since 75 is 25 percent, multiply 75 by 4.

75*4=300

The value is 300.

Hope this helps!

HOW do you solve this?

What could be the side lengths of a right triangle?
A. 27, 35, 43
B. 26, 34, 42
C. 25, 33, 41
D 24, 32, 40

Answers

Answer:

you just need memorize some of the side lengths of right triangle, or you can use this formula to calculate: a^2 + b^2 = c^2

For example, you need memoreize this group of side lengths of right triangle: 3 , 4 , 5

and in your options, there is a group is same as 3, 4 , 5 but it's 8 times bigger.

The answer is:

D. 24, 32, 40

Answer:

D.

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides will equal the square of the longest side.

The law to observe here is the Pythagorean theorem where;

[tex]a^2+b^2=c^2\\[/tex]

where a and b are the two shorter sides where as c is the longest side/hypothenuse

In this question the last option is correct.How?

Lets take a=24 and b=32, what is c?

You apply;

[tex]a^2+b^2=c^2\\\\24^2+32^2=c^2\\\\\\576+1024=1600\\\\c^2=1600\\\\c=\sqrt{1600} =40[/tex]

Hence option D is correct where ;

[tex]24^2+32^2=40^2[/tex]

a coin is tossed two times find the probability of getting (1 . exactly one head (2.at least one head (3. at most one head​

Answers

[tex]|\Omega|=2^2=4[/tex]

1.

[tex]|A|=2\\P(A)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

2.

[tex]|A|=3\\P(A)=\dfrac{3}{4}[/tex]

3.

[tex]|A|=3\\P(A)=\dfrac{3}{4}[/tex]

4x + 8y = 16
4x-8y = 0

Answers

Answer:

[2, 1]

Step-by-step explanation:

By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.

Please help. The survey data, and question is in the picture provided.

Answers

Answer:

[tex]\frac{83}{186}[/tex]

Step-by-step explanation:

In probability, "OR" means "+" and "AND" means "*".

The total amount of people is:

32 + 54 + 78 + 112 + 96 = 372

Number of diabetic patients are 54

Number of eye patients are 112

Since we want "OR", we will add the two probabilities:

P(diabetic or eye problem) = 54/372 + 112/372 = 83/186

How do I find the inverse function of this equation

Answers

Answer:

y=ln(x/(1-x))

Step-by-step explanation:

y=e^x/(1+e^x)

Cross multiply

y(1+e^x)=e^x

Distribute

y+ye^x=e^x

Put anything with x on with side and everything without x on opposing side:

y=e^x-ye^x

Factor right hand side

y=(1-y)e^x

Divide both sides by (1-y)

y/(1-y)=e^x

Use natural log.

ln(y/(1-y))=x

The inverse is

y=ln(x/(1-x))

If DH = 4x - 2 and FH = x + 28, find the value of x for which DEFG must be a parallelogram.

6

10

7

8

Answers

Answer:

The answer for this question is B (10) I have shown a step by step explaination for you to understand how I got this answer

Step-by-step explanation:

4x-2=x+28

-x -x

3x-2=28

+2 +2

3x=30

3x/3 = 30/3

x=10

The value of x for which DEFG must be a parallelogram is Option(B) 10 .

What is a parallelogram ?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

How to find the value of x for which the figure is a parallelogram ?

As we know that for a parallelogram, the opposite adjacent sides are always parallel and equal in length.

Therefore, for DEFG to be a parallelogram, the sides DH and FH must be equal in length.

We have,  DH = FH

⇒ 4x - 2 = x + 28

⇒ 3x = 30

∴  x = 10

Thus, the value of x for which DEFG must be a parallelogram is Option(B) 10 .

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(x-1)(x+20)
May I know the work to this

Answers

[tex](x-1)(x+20)=x^2+20x-x-20=x^2+19x-20[/tex]

This is how to work out the answer

15p!!what is the percent of change from 134 to 106? round to the nearest percent!

Answers

Answer:

The answer is 21%.

Step-by-step explanation:

1) divide 134 by 106

106/134 is about 0.79

2) Multiply by 100 to find the percentage

0.79(100)= 79%

3) Subtract 79% from 100% to find the percentage difference

100%-79%= 21%

Therefore, the percent of change between 134 and 106 is 21%.

Hope this helps!

Which shows how to solve the equation 3/4x=6 for x in one step?

Answers

Well going off what I know (you don't have the equations up)

You have to isolate x

3/4x = 6

(4) 3/4x = 6 *multiplying by 4 cancels the fraction.

3x = 24

Divide by 3

X = 6

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Let multiply each side by 4/3:

[tex]\frac{4}{3}\cdot \frac{3}{4} \cdot x = 6\cdot \frac{4}{3}[/tex]

[tex]x = 8[/tex]

6. Chris can buy an online magazine
subscription for $5.99 per month or
$65 per year. How much will he save
by paying for the whole year at once
rather than one month at a time?

Answers

Answer:

$6.88

Step-by-step explanation:

We are trying to compare two options: Buying a magazine for 12 months or for just 1 year.

To solve this, we can multiply the monthly rate by 12 because there are 12 months in a year.

5.99 x 12 = 71.88

The other option is to just pay $65 dollars for a whole year (12 months).

Comparing the two options, we see paying for the whole year is cheaper than paying for each month individually. Because of this, we can subtract $65, the cheaper option, from $71.88 to get $6.88

Chris will save $6.88 by paying for the whole year instead of purchasing for each month.

Answer this by using system of equations. Say y=total money spent and x=number of years. y=5.99x and y=65
now set these equations equal to each other
5.99x=65
x=10.851419

625 kids play sports. If there are 125 kids on each team, how many sports are there?

Answers

Answer:

5 sports

Step-by-step explanation:

To find the number of sports, take the total number of kids and divide by the number of teams

625/125 = 5

There are 5 sports

[tex]\text{Hey there!}[/tex]

[tex]\text{In order for you to find the number of sports were there, we have to divide!}[/tex]

[tex]\bullet\ \text{625 kids play sports}[/tex]

[tex]\bullet\ \text{125 kids on each team}[/tex]

[tex]\text{625 will be our numerator (or front number)}[/tex]

[tex]\text{125 will be our denominator (or back number)}[/tex]

[tex]\dfrac{625}{125}=625\div125=5[/tex]

[tex]\boxed{\boxed{\bf{Your\ answer:5}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below

Answers

Plug values in function.

f(3) = 0.01(2)(3)

f(3) = 0.06

f(5) = 0.01(2)(5)

f(5) = 0.10

Average rate of change formula: f(b) - f(a) / b - a

Plug in.

0.10 - 0.06 / 5 - 3 = 0.04 / 2 = 0.02

Average rate of change: 0.02

Answer:

The Average rate of change: 0.02

Step-by-step explanation:

Great Question, First to be able to figure out the average rate of change for the function we need to plug each value for x given into the function and get an output value

[tex]f(3) = 0.01(2)(3)[/tex]

[tex]f(3) = 0.06[/tex]

[tex]f(15) = 0.01(2)(15)[/tex]

[tex]f(15) = 0.3[/tex]

Now that we have both outputs for the values of x given to us in the question, we can use the rate of change formula from the picture below to find the Rate of Change of these two values of x.

[tex]\frac{0.3-0.06}{15-3} = r[/tex]

[tex]\frac{0.24}{12} = r[/tex]

[tex]0.02 = r[/tex]

So Now we see that The Average rate of change: 0.02

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Solve the equation for x
Cx-4=7

Answers

Answer:

( A )

Step-by-step explanation:

To solve this problem you must apply the procedure shown below:

1. You have the following equation given above:

2. The negative four will pass as a positive four to the right member.

3. Te sum of 7 and 4 will be divided by , as following:

Answer:

Step-by-step explanation:

The given equation is :

Cx-4=7.

To solve for x we isolate the x term .

Adding 4 both sides:

Cx=7+4

Cx=11

To x term C is multiplied ,performing  the opposite operation that is dividing both sides by C we have :

x=[tex]\frac{11}{C}[/tex]

Which of the following best describe the term definition

Answers

I would say it’s c.
D is wrong cause definitions are proven right all the time.
B is wrong because a definition is not an arrangement of deductions
A is wrong because it says that the statement is not defined when it is.

The most appropriate description ascribed to the meaning of definition from the options given is ; A precise statement of the qualities of an idea, object or process.

Definition refers to a description which is given to a word, idea or phenomenon such that it encompasses the actual characteristics and meaning of such phenomenon.

Logical meaning, assumptions or unofficial descriptions cannot be taken to be the definition of a phenomenon.

Therefore, since the definition ascribed to a process or phenomenon as to be original and precise, then the most appropriate statement is the option C.

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Please help... For what value of x would the quotient (2x2 +3x-4)/(x+ 4) not make sense?

Answers

Answer:

-4 or A

Step-by-step explanation:

If x was -4 then you would be dividing by zero and it would not be possible.

what is the slope of the graph shown below ?
A. 4/3
B. 1/4
C. -3
D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

[tex]\text{The slope}[/tex]

[tex]m=\dfrac{rise}{run}[/tex]

[tex]rise=-4\\\\run=-1[/tex]

[tex]m=\dfrac{-4}{-1}=4[/tex]

The required slope of the graph exists 4.

Slope of the graph

The graph exists in a straight line.

The line passes through the points (0, -3) and [tex]$\left(\frac{3}{4}, 0\right)$[/tex].

We know the slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]$m=\frac{d-b}{c-a} .$$[/tex]

Therefore, the slope of the given line is

[tex]$m=\frac{0-(-3)}{\frac{3}{4}-0}$$[/tex]

[tex]$&\Rightarrow m=\frac{3}{\frac{3}{4}} \\[/tex]

[tex]$&\Rightarrow m=3 \times \frac{4}{3}\end{aligned}$$[/tex]

[tex]$\Rightarrow m=4 \text {. }$$[/tex]

The required slope of the graph exists 4.

Therefore, the correct answer is option D. 4

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True or false? Many triangular shapes can be circumscribed about a given circle

Answers

Answer:

False.

Because Only one circle can be circumscribed about a given triangle.

Final answer:

The statement that many triangular shapes can be circumscribed about a given circle is true, as an infinite number of triangles can be formed by connecting any three distinct points on the circumference of the circle.

Explanation:

The statement "Many triangular shapes can be circumscribed about a given circle" is true. By definition, a circumscribed triangle is one that surrounds a circle, touching the circle exactly at its perimeter at three points.

Given a circle, you can indeed construct infinite triangles that circumscribe the circle, as for any set of three points on the circumference of the circle, a unique triangle can be formed.

In mathematical terms, three points determine one of these curves; that is, through any three points not in a straight line on a circle's circumference, we can draw a unique triangle which will circumscribe the circle.

Since there are an infinite number of points on a circle's circumference, we can choose an infinite number of triplets of points, each producing a different circumscribed triangle.

Part of the population of 7000 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 8 of them are infected. How many elk are likely to be infected

Answers

Answer:

1120

Step-by-step explanation:

8/50=x/7000

50x=56000

Divide 50 on both sides

1120

Answer:

1120

Step-by-step explanation:

8/50=x/7000

50x=56000

Divide 50 on both sides

1120

On Election Day, the temperature was 56°F in Durkeeville. Over in Tindertown, the temperature was 48°F. What was the difference in temperature between the two places?

Answers

Answer:

The difference is 8 F

Step-by-step explanation:

The difference means subtract

56-48 = 8

The difference is 8 F

How many solutions does the equation 4s + 8 = 3 + 5 + 4s have? (5 points) Two None One Infinitely many

Answers

Answer:

Infinitely many

8

Step-by-step explanation:

First, you subtract by 4s both sides of equation.

4s+8-4s=3+5+4s-4s

Then, simplify.

8=3+5

Same thing like order of operations.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Add the numbers from left to right.

3+5=8

8=8 is true

8 is the correct answer.

Infinitely many is the correct answer.

The given equation has no solution.

As the given equation is:

[tex]4s+8=3+5+4s\\[/tex]

So, if we simplify we get;

[tex]8=3+5+4s-4s[/tex] (subtracting 4s from both sides of the equation)

Now, on adding we get;

[tex]8=8[/tex]

So, LHS=RHS.

Therefore, there is no variable for which we can find the solution.

Hence option(b) none is the correct answer

What's an equation in math?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation. Many professionals use equations every day, including air traffic controllers, architects, computer programmers and carpenters.

What is an equation example?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

What is the best definition for equation?

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

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5.Find the roots of the parabola given by the following equation.
2x2+ 5x - 9 = 2x

6.Solve the inequality and graph the solution on a number line.
–3(5y – 4) ≥ 17

Answers

Answer:

Part 5) The roots are x=-3 and x=1.5

Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)

Step-by-step explanation:

Part 5) Find the roots of the parabola given by the following equation

[tex]2x^{2} +5x-9=2x[/tex]

we know that

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]2x^{2}+5x-2x-9=0[/tex]

[tex]2x^{2}+3x-9=0[/tex]

so

[tex]a=2\\b=3\\c=-9[/tex]

substitute in the formula

[tex]x=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-9)}} {2(2)}[/tex]

[tex]x=\frac{-3(+/-)\sqrt{81}} {4}[/tex]

[tex]x=\frac{-3(+/-)9} {4}[/tex]

[tex]x=\frac{-3(+)9} {4}=1.5[/tex]

[tex]x=\frac{-3(-)9} {4}=-3[/tex]

therefore

The roots are x=-3 and x=1.5

Part 6) Solve the inequality and graph the solution on a number line.

[tex]-3(5y-4)\geq 17[/tex]

Solve for y

[tex]-15y+12\geq 17[/tex]

Subtract 12 both sides

[tex]-15y\geq 17-12[/tex]

[tex]-15y\geq 5[/tex]

Multiply by -1 both sides

[tex]15y\leq -5[/tex]

Divide by 15 both sides

[tex]y\leq -1/3[/tex]

The solution is the interval -----> (-∞, -1/3]

All  real numbers less than or equal to negative one third

The solution on a number line is the shading area below of the line y=-1/3 (close circle)

The graph in the attached figure

If p(x) = x2 + 7x + 3 is divided by x + 4, the remainder is

Answers

-9

Use long division to solve. See attached

The number of lattes sold daily for two coffee shops is shown in the table:


Lattes
12
52
57
33
51
15
46
45


Based on the data, what is the difference between the median of the data, including the possible outlier(s) and excluding the possible outlier(s)?
48.5
23
8.4
3

Answers

Answer:

The Answer would be D) 3

X Y
2 6
5 15
8 24

What is the ratio of x to y? (Write it in simplest form)

Answers

Answer:

Step-by-step explanation:

Whether you divide by ⅓ [X ÷ ⅓] or multiply by ⅓ [Y × ⅓], the ratio is similar. It never varies.

1/3

Divide the 2 lowest values by each other.

6/2=1/3

Hope this helps!

Find 12% less than 60

Answers

Answer:

52.8

Step-by-step explanation:

First we need to find 12% of 60

12% * 60

.12 * 60

7.2

We want less than which means subtract

60-7.2

52.8

52.8 is the answer to the question

Whatis the value of the expression
4(x + y)
when x= 6 and y= 24?

Answers

Answer:

120

Step-by-step explanation:

Evaluate the expression by substituting the given values into it

4(6 + 24) = 4 × 30 = 120

If y+3y+5y=−18
y
+
3
y
+
5
y
=

18
, then what is the value of y
y
?

Answers

Answer:

y=-2

Step-by-step explanation:

y+3y+5y=−18

Combine like terms

9y = -18

Divide each side by 9

9y/9 = -18/9

y = -2

Final answer:

The equation y + 3y + 5y = -18 simplifies to 9y = -18; solving for y, we find y = -2.

Explanation:

The equation presented is y + 3y + 5y = −18. To find the value of y, we first need to simplify the left-hand side of the equation by adding the similar terms together. In this equation, all terms on the left-hand side are multiples of y. Thus, y + 3y + 5y simplifies to 9y.

Our equation then becomes 9y = -18. To solve for y, we divide both sides of the equation by 9, yielding y = -2.

So, the value of y in this equation is -2.

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Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?

Answers

[tex]\bf \begin{array}{ccll} grams&people\\ \cline{1-2} 480&4\\ x&14 \end{array}\implies \cfrac{480}{x}=\cfrac{4}{14}\implies \cfrac{480}{x}=\cfrac{2}{7}\implies 3360=2x \\\\\\ \cfrac{3360}{2}=x\implies 1680=x[/tex]

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