write a point-slope equation for the line that passes through the point (1,6) and is parallel to the line given by y=5x+25 do not use parenthesis on the y side

Answers

Answer 1

Answer:

[tex]y-6=5(x-1)[/tex]

Step-by-step explanation:

To make the line parallel, it has to have the same slope as the other. Because it is in slope-intercept form, we can see that the slope of the line is 5.

Now we have all of the numbers we need for point-slope form. The point-slope form looks like this:

[tex]y-y_{1}=m(x-x_{1})[/tex]

So when we input our values for the variables, the equation is:

[tex]y-6=5(x-1)[/tex]


Answer 2

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (relevant later)


Point-slope form:

y - y₁ = m(x - x₁)        "m" is the slope


For lines to be parallel, their slopes have to be the SAME


The given line's slope is 5, so the parallel line's slope is also 5.


So you know:

m = 5

(x₁ , y₁) = (1 , 6)

Now you can plug this in:


y - y₁ = m(x - x₁)  

y - 6 = 5(x - 1)


Related Questions



The linear inequality y ≤ 3/2x + 3/2
is graphed. Determine a solution for the inequality.
A) (0, 2)
B) (1, 3)
C) (-2, 0)
D) (-3, 1)

Answers

Answer:

it's (B)

Step-by-step explanation:


Final answer:

To find a solution for the linear inequality y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. The correct solution for the inequality is (-2, 0).

Explanation:

To determine a solution for the linear inequality, y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. This inequality represents a line with a slope of 3/2 and a y-intercept of 3/2. Starting from the y-intercept, we can draw a line that goes up 3 units vertically and 2 units horizontally, and another line that goes down 3 units vertically and 2 units horizontally. Shade the region below the line to include the points that satisfy the inequality. The correct solution for the inequality is (C) (-2, 0).

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Ryan made a cd of his favorite songs. There are 42 minutes of time on Cd. He records 14 songs. What is the average length of each song?

Answers

The average song length is 3 minutes (divide 42 and 14)
The average length of each song is 3 minutes . The steps to do that is 42 minutes divided to 14 songs and you have the answer is 3 .

Which point is on the graph of f(x)=5^x?

Answers

Answer:

B. (0 , 0)

Step-by-step explanation:

Plug in the coordinate into the equation given.

Note that:

x = x

f(x) = y

Also note that in B, x = 0, y = 0

Plug in the corresponding number with the corresponding variable

0 = 5^(0)

Simplify

5^0 = 0

0 = 0 (True)

B. (0 , 0) is your answer

~

Answer:

(1,5)

Step-by-step explanation:

This is the correct answer.

Find the absolute value of |-15|

Answers

Answer:

15   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Absolute value is always positive.

Answer:


Step-by-step explanation: Absolute value of -15 is 15. Absolute value is the distance of a number on the number line from 0. Even though it is a negative, it is a positive because it is a number of units from number line. Hope it helps!!☺☻ Please give Brainliest!


Convert 5.4 ⋅ 103 to standard form. 0.0054 0.00054 5,400 54,000

Answers

Assuming you meant 5.4 × 10³, then it is 5400. Just move the decimal place 3 times, resulting in 5400. To put it better next time, put it like 5.4×10^3 to avoid confusion.

Answer:

The correct option is C. 5,400

Step-by-step explanation:

Consider the provided number.

[tex]5.4\cdot 10^3[/tex]

If the exponent of 10 is a positive number then you need to move the decimal point right as much as the exponent value.

If the exponent of 10 is a negative number then you need to move the decimal point left as much as the exponent value.

Now consider the provided number.

[tex]5.4\cdot 10^3[/tex]

Here the power of 10 is positive, so move the decimal point right as shown.

[tex]5400[/tex]

Hence, the correct option is C. 5,400

Please help, ASAP:
A candy mixture is made from 6 pounds of sugar sticks of $10 per pound and 14 pounds of jelly beans of $8 per pound. Find the price of the candy mixture per pound.

Answers

Ok so the price is 172 dollars for 20 pounds. To find price per pound you divide the price by the total number of pounds, so 172 divided by 20 is $8.60 per pound.

How many solutions does this system have!

y = 3x + 5
y = -x + 4

a. one
b. two
c. infinite number
d. no solution

Answers

Answer:x=-14y=174


y=3x+5,y=-x+4


3x+5=-x+4



There are infinite number of solutions!





Move all terms containing

x

x to the left side of the equation.

Tap for more steps...

4

x

+

5

=

4

4x+5=4

y

=

x

+

4

y=-x+4

Move all terms not containing

x

x to the right side of the equation.

Tap for more steps...

4

x

=

1

4x=-1

y

=

x

+

4

y=-x+4

Divide each term by

4

4 and simplify.

Tap for more steps...

x

=

1

4

x=-14

y

=

x

+

4

y=-x+4

Replace all occurrences of

x

x with the solution found by solving the last equation for

x

x. In this case, the value substituted is

1

4

-14.

x

=

1

4

x=-14

y

=

(

1

4

)

+

4

y=-(-14)+4

Simplify the right side.

Tap for more steps...

x

=

1

4

x=-14

y

=

17

4

y=174

The solution can be shown in both point and equation forms.

Point Form:

(

1

4

,

17

4

)

(-14,174)

Equation Form:

x

=

1

4

y

=

17

4

x=-14y=174

Write an absolute value inequality that describes the acceptable weights, w, of a 20-ounce bottle of sports drink.

Answers

Answer: [tex]0\leq w\leq 20[/tex]

Step-by-step explanation:

Since, Here w represents the weight of the bottle.

And, According to the question, he acceptable weights, w, of a 20-ounce bottle of sports drink.

That is, weight of the bottle can not be higher than 20 or the it can be atleast 20.

Therefore,  [tex]w\leq 20[/tex]

And, the weight can not be negative.

Therefore, [tex]0\leq w[/tex]

Thus, the required inequality is,

 [tex]0\leq w\leq 20[/tex]


PLEASE ANSWER I WILL GIVE YOU BRAINLIEST

Simplify.

What is the value of the expression? 1/5 (-22.38 - 10.12)

Enter your answers, as a decimal to tenths

Answers

Answer:

The answer is 7 if you round 6.5

Step-by-step explanation:

1/5(-22.38 - 10.12)

1/5 (-32.5)

= -6.5

The area of a rectangular dog pen is 8 1/2 square feet. If the width is 3 2/5 feet, what is the length ,in feet ?

Answers

Answer:

2 1/2 ft

Step-by-step explanation:

Area is given by the formula

A = l*w

We know the area is 8 1/2  

Changing this to an improper fraction  8 1/2 = (2*8 +1)/2 = 17/2

The width is 3 2/5  as an improper fraction  = (5*3+2)/5 = 17/5

A = l*w

17/2 = l* 17/5

Multiply each side by 5/17

17/2 * 5/17 = l* 17/5 * 5/17

5/2 = l

2 1/2 = l


Since area is length times width, you can divide 8 1/2 by 3 2/5 to get the length. 8.5/3.2=2.65625 feet

witch multiples of 24 are not factors of 24

Answers

Answer:

A factor of 24 is a number that can be multilied by another number (normally whole (not fraction or decimal) numbers) so a factor must be less than the number any multiple of 2 greater than 24 will work so just any even number greater than 24 exg 26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60, and so on.

Step-by-step explanation:


Final answer:

Not all multiples of a number are its factors. In the case of the number 24, only the multiples that can divide evenly into 24, which include 1, 2, 3, 4, 6, 8, 12, and 24, can be considered its factors. Higher multiples like 48, 72 or 96 are not factors as they do not divide into 24.

Explanation:

In mathematics, the multiples of a number are obtained by multiplying that number by any integer. The factors of a number, on the other hand, are the numbers that you can evenly divide into that number. Therefore, for the number 24, its multiples include 24, 48, 72, 96, and so on.

However, not all multiples of 24 are factors of 24. A factor must divide into 24 with no remainder, which isn't the case with greater multiples of 24. For instance, 48, 72, 96 etc. are multiples of 24, but they are not factors of 24 because they cannot divide evenly into 24.

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What is the slope-intercept equation for the line below? (0, 4) (4, 1)

Answers

Answer:

The equation of the line would be y = 5/4x - 4

Step-by-step explanation:

To find the equation of any line, start by finding the slope using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(0 - 4)

m = -5/-4

m = 5/4

Now that we have the slope, use that and either point to get the equation of the line

y - y1 = m(x - x1)

y + 4 = 5/4(x - 0)

y + 4 = 5/4x

y = 5/4x - 4

The equation of the line would be y = (5/4) x - 4. Hence, option B is correct.

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

To find the equation of any line, start by finding the slope using the slope formula.

m(slope) = (y₂ - y₁)/(x₂ - x₁)

m = (-4 - 1)/(0 - 4)

m = -5/-4

m = 5/4

Now that we have the slope, use that and either point to get the equation of the line.

y - y₁ = m(x - x1)

y + 4 = 5/4(x - 0)

y + 4 = 5/4x

y = 5/4x - 4

Hence, option B is correct.

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f(x) = x − 3 and g(x) = 2x + 8 Which ordered pair is a solution for the system?

Answers

I put it into Desmos and got (-11, -14)

Sade found that 75% of 60 is the same as 30% of another number,n.What is the value of n?

Answers

the value of n would be 150.

given abc with a(-4 -2), b(4,4), and c(18,-8). write the equation of the line that contains the altitude that passes through b in standard form

Answers

check the picture below.

so red line of BD is perpendicular to AC, hmmmm let's firstly find the slope of AC, bearing in mind that perpendicular lines have negative reciprocal slopes.


[tex]\bf A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{18}~,~\stackrel{y_2}{-8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-(-2)}{18-(-4)}\implies \cfrac{-8+2}{18+4} \\\\\\ \cfrac{-6}{22}\implies -\cfrac{3}{11} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{11}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{11}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{11}{3}}}\impliedby \textit{BD's slope}[/tex]


so we're really looking  for the equation of a line whose slope is 11/3 and runs through B(4,4).  Keeping in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient


[tex]\bf B(\stackrel{x_1}{4}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies \cfrac{11}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=\cfrac{11}{3}(x-4)[/tex]


[tex]\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}\textit{ to do away with the denominators}}{3(y-4)=3\left( \cfrac{11}{3}(x-4) \right)\implies 3y-12=11(x-4)} \\\\\\ 3y-12=11x-44\implies 3y=11x-32 \\\\\\ -11x+3y=-32\implies \blacktriangleright 11x - 3y= 32\blacktriangleleft[/tex]

Final answer:

The equation for the altitude passing through point B(4,4) is in standard form as 11x - 3y = 32. This was found by calculating the slope of AC, finding the perpendicular slope, and then applying it with point B to find the equation of the line.

Explanation:

To find the equation of the altitude that passes through point B(4,4) of the triangle ABC with vertices A(-4,-2), B(4,4), and C(18,-8), we need to determine the slope of line AC and then find the perpendicular slope that passes through B.

Firstly, we calculate the slope of AC:


Slope of AC = (y2 - y1) / (x2 - x1)
= (-8 - (-2)) / (18 - (-4))
= (-8 + 2) / (18 + 4)
= -6 / 22 = -3 / 11

The slope of the altitude will be the negative reciprocal of the slope of AC because the altitude is perpendicular to AC. Hence,


Perpendicular slope = 11/3

Now we use the point-slope form of the equation of a line using point B:


y - y1 = m(x - x1)
y - 4 = (11/3)(x - 4)

Rewriting in standard form (Ax + By = C), we get:


3(y - 4) = 11(x - 4)
3y - 12 = 11x - 44
11x - 3y = 32

So, the standard form of the equation of the altitude passing through point B is 11x - 3y = 32.

A water yank holds 18,000 gallons. How long will it take for the water level to reach 6,000 gallons if the water is used at an average rate of 450 gallons per day?

Answers

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

18,000 - 6000 = 12,000

12,000 ÷ 450 = 26.66 = 26 days 16 hours

felix bought 5/6 pound of peanuts. He ate 3/4 pounds of peanuts. How much did felix hace left

Answers

Felix are 1/12 pounds



What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?

10, 5, 0, -5, -10, ...
A) -5n
B) -5n + 15
C) -3n + 15
D) 5n

Answers

Answer:

B

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

where d is the common difference and [tex]a_{1}[/tex] the first term

here d = - 10 - (- 5) = - 5 - 0 = 0 - 5 = - 5 and [tex]a_{1}[/tex] = 10, hence

[tex]a_{n}[/tex] = 10 - 5(n - 1) = 10 - 5n + 5 = 15 - 5n → B



what is
[tex]2x + 4 \geqslant 24[/tex]
please help!!!

Answers

[tex]2x+4\geq24\qquad\text{subtract 4 from both sides}\\\\2x\geq20\qquad\text{divide both sides by 2}\\\\\boxed{x\geq10\to x\in[10;\ \infty)}[/tex]

Three hens can lay 3 eggs in 3 days.In how many days can 7 hens lay 7 eggs?

Answers

Answer: 3 days


Step-by-step explanation: It would take 3 days for seven hens to 7 lay eggs because each hen lays an egg each day.

1 hen/1 egg = 3 days

7 hens/7 days = 14 eggs

7 hens/3 days = 7 eggs

Answer:

3 days

Step-by-step explanation:

Three hens lay 3 eggs in 3 days

We have to find the days in which 7 hens lay 7 eggs

Hen/egg=[tex]\frac{3}{3}[/tex]

Hen/egg=1

Using unitary method

1 hen lays 1 egg in 3 days

1 hen lays in 1 day =[tex]\frac{1}{3}[/tex]eggs

7 hens lay 7/3 eggs in 1 day

7 hens lay 1 egg=[tex]\frac{3}{7}[/tex]days

7 hens lay 7 eggs=[tex]\frac{3}{7}\times 7[/tex]

7 hens lay 7 eggs=3 days

Hence, 7 hens lay 7 eggs in 3 days

Please help ASAP!!!
A six-sided number cube is rolled. What is the probability of getting a 3 and then a 4, given that the first number rolled was a 3?

1. 1/3
2. 1/6
3. 1/36
4. 1/2

Answers

The answer is 3. 1/6 because there are 6 sides in the cube. So the probability of getting a certain number is 1/6.

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube is 1/36.

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube:

Probability of rolling a 3 on the first roll: 1/6

Since each roll is independent, the probability of rolling a 4 after rolling a 3: 1/6

Therefore, the overall probability of getting a 3 and then a 4: 1/6 × 1/6 = 1/36

Simplify (m+13)-(p+25)

Answers

Final Answer:

The simplified expression for (m+13)-(p+25) is m - p - 12.

Explanation:

To simplify the expression (m+13)-(p+25), we can distribute the negative sign to both terms inside the parentheses:

[tex]\[m + 13 - p - 25.\][/tex]

Next, combine like terms by grouping the variables (m and -p) and the constants (13 and -25):

[tex]\[m - p + 13 - 25.\][/tex]

Now, simplify the constants:

[tex]\[m - p - 12.\][/tex]

So, the final answer is m - p - 12. This expression represents the simplified form of the given algebraic expression.

In the original expression, (m+13)-(p+25), we subtracted the entire quantity (p+25) from (m+13). Distributing the negative sign, we subtracted p and 25 individually. Combining like terms involved combining the variables (m - p) and constants (13 - 25). The final result is m - p - 12, where m and p are coefficients of the respective variables, and 12 is the simplified constant term.

In summary, the expression (m+13)-(p+25) simplifies to m - p - 12 by applying the principles of combining like terms and distributing the negative sign. This simplified form is a more concise representation of the original expression.

What are the first 4 terms of the arithmetic sequence in the graph?


Answers

Look at the picture.

[tex]a_1=4\\\\a_2=6\\\\a_3=8\\\\a_4=10[/tex]

Answer:

Start from bottom to top. They are asking for the y-intercept of the dot. The order is as follows: 4, 6, 8, 10.

Question: How many 1 8 lb packages of fudge can be sold from 7 pounds of fudge?

Answers

Let us assume that it is 1/8 lb packages of fudge.

So, the question is how many 1/8 lbs of fudge can be sold from 7 pounds of fudge

Answer:

Total amount of fudge = 7 pounds

Portions of division = 1/8 pounds

So, number of packages that can be made from 7 pounds are =

[tex]\frac{7}{\frac{1}{8}}[/tex]

= [tex]7\times8=56[/tex]

Hence, 56 packages of 1/8 lbs each can be made from 7 pounds fudge.

Which of the following is a correct interpretation of the expression 6-13?

Answers

Answer:

The answer is C

Step-by-step explanation:

Subtraction goes left on the number line

You always start with the first number on the number line


[tex] \frac{1}{2} \div \frac{1}{5} \times \frac{2}{5} [/tex]

Answers

Answer:

[tex]\frac{25}{4}[/tex]

Step-by-step explanation:

You have to use Order of Operations so you MUST multiply first  which gave me [tex]\frac{2}{25}[/tex] and in order to divide that you must make it a reciprocal and that's how I got the answer


Divide by a fraction means the same as multiply by its reciprocal.

[tex]\dfrac{1}{2}\div\dfrac{1}{5}\times\dfrac{2}{5}=\dfrac{1}{2}\times\dfrac{5}{1}\times\dfrac{2}{5}\\\\=\dfrac{1}{\not2_1}\times\dfrac{5}{1}\times\dfrac{\not2^1}{5}=\dfrac{1}{1}\times\dfrac{\not5^1}{1}\times\dfrac{1}{\not5_1}=1\times1\times1=1\\\\Answer:\ \boxed{\dfrac{1}{2}\div\dfrac{1}{5}\times\dfrac{2}{5}=1}[/tex]

Please help and show work

Answers

Greetings!

Answer:

The ratio is 1:3

Step-by-step explanation:

People can do this in different ways.

Firstly, set some variables for cydlinder A:

Diameter = 18

Height = 1

Radius = 18 ÷ 2 = 9

Area of a cylinder is [tex]\pi r^{2} h[/tex]

Plug values in:

[tex]\pi 9^{2} 1[/tex] = 81π


Cylinder B:

Diameter = 18 ÷ 3 = 6

Height = 1 * 3 = 3

Radius = 6 ÷ 2 = 3

[tex]\pi3^{2}3  = 27\pi[/tex]


Cylinder b is 3 times less than cylinder a:

81π ÷ 27π = 3

So that means three lots of cylinder b is equal to one of cylinder a.

Meaning the ration is 1:3


Hope this helps!

Please help me with NUMBER 7 !! Thank you so much! 20 points!! :))

Answers

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

I need help ASAP pleaseSolve for y Y+1.5=7.26

Answers

Answer:

5.76

Step-by-step explanation:

If you subtract 7.26 by 1.5 by puting the 1.5 under the 7.26 you would get that and put y=5.76.

Answer:

Y=1.05 = 7.26

Y = 7.26 - 1.05 - 6.21

Step-by-step explanation:


1. What is the value of x? Show your work to justify your answer.


2. What is the value of the exterior angle? Show your work to justify your answer.

Answers

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x


The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10.  Substitute x=72 into the equation.

2(72)+10

144+10

154


Answer: x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.y + 2x+10 =180Solve for y by subtracting 2x+10 from each side.y + 2x+10 - (2x+10) =180 - (2x+10)y = 180-2x-10y = 170-2xThe three angles of a triangle add to 180 degreesx+ y+ 82 = 180x+ (170-2x)+82 = 180Combine like terms-x +252=180Subtract 252 from each side-x+252-252 = 180-252-x = -72Multiply each side by -1-1*-x = -72*-1x=72The exterior angle is 2x+10.  Substitute x=72 into the equation.2(72)+10144+10154

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