What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +

Answers

Answer 1

Answer:

What is the equation of the line parallel to the given line with an x-intercept of 4?

y = 4 x +  -16

Step-by-step explanation:

Answer 2

The resulting equation is y = x - 4.

Firstly, a line that is parallel to another line has the same slope. Since the given line is in the form y = mx + b, we need the slope (m) from this equation. Let's assume it is y = x + c, then the slope (m) is 1 since no explicit value is provided for c.

Next, we need the equation of a new line that has the same slope (which is 1) and an x-intercept of 4. An x-intercept of 4 means the line passes through the point (4, 0).

Start with the general form of the line's equation: y = mx + b.Substitute the slope (m = 1): y = 1x + b or y = x + b.Use the point (4, 0) to find b: 0 = 4 + b. Solving for b, we get b = -4.

Therefore, the equation of the line parallel to the given one with an x-intercept of 4 is y = x - 4.


Related Questions

Select the three expressions that give the area of the figure in square units

Answers

Answer:

the top middle and two at the bottom

which values are solutions to the inequality below? check all that apply.

x^2 > 121

A) -12
B) 3
C) 13
D) 10​

Answers

take square root of 121, which is 11

so -12, 3, 10,

The values that satisfy the inequality x² > 121 are -12 and 13, as their squares are greater than 121.

The question asks which values satisfy the inequality x² > 121. To find the solutions, we need to consider when x² is greater than the square of 11, since 121 is 11². There are two cases:

Case 1: x is greater than 11.

Case 2: x is less than -11.

Now, evaluating the provided options:

A) -12: (-12)² = 144 which is greater than 121. Hence, -12 is a solution.

B) 3: (3)² = 9 which is not greater than 121. Therefore, 3 is not a solution.

C) 13: (13)² = 169 which is greater than 121. Thus, 13 is a solution.

D) 10: (10)² = 100 which is not greater than 121. So, 10 is not a solution.

Therefore, the correct answers that satisfy the given inequality are -12 and 13.

Which dose not appear in an algebraic expression

Answers

An equal sign.

If there was an equal sign kt would turn into an algebraic equation imstead of an expression.

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

what is the axis of symetry given f(x)=x^2+4x-19

Answers

Answer:

x = -2

Step-by-step explanation:

The formula for the axis of symmetry is;

x = -b/2a

In this case;

b = 4 , a = 1

Therefore;

x = -4/2(1)

  = -2

Thus; the axis of symmetry is x = -2

Answer:

x = -2 is the axis of symmetry.

Step-by-step explanation:

We have given the function:

f(x)=x²+4x-19

We have to find the axis of symmetry.

We know that the formula for axis of symmetry is:

x = -b /2a

In this equation, b = 4 , a = 1

Putting these values we get,

x = -4/2(1)

x = -4/2

x = -2

x = -2 is the axis of symmetry of this function.

Is the sequence geometric ? -48,96,-192,384...

Answers

Answer:

yes

Step-by-step explanation:

If the sequence is geometric then the common ratio r between consecutive terms will be equal.

[tex]\frac{96}{-48}[/tex] = - 2

[tex]\frac{-192}{96}[/tex] = - 2

[tex]\frac{384}{-192}[/tex] = - 2

The common ratio between terms = - 2

Hence the sequence is geometric

Find the area of the figure
A)75in^2
B)70in^2
C)65in^2
D)80in^2

Answers

Answer: B, 70 inches.

Step-by-step explanation:

Let's start slow and go shape by shape.

Based on the information we have, we know that the length for the rectangle is 8 inches by 7 inches. 8*7 = 56, so we have one of the answers.

Next, we do the triangle. Based on the information we have, we know that the triangle is 4 inches by 7 inches divided by 2. 4*7 = 28 [tex]\frac {28}{2} = 14[/tex]

Adding 14 and 56, we got the answer to be B, 70 inches.

PLEASE HELP QUICK!

AABC has vertices at (-4,4), (0,0) and (-5,-2). find the coordinates of points A, B and C after a reflection across the y- axis.

Point A’: ____
Point B’: ____
Point C’: ____

Answers

The Y axis, would be when y = 0.

Point B is located on the Y -axis, so the coordinates would be the same.

For A and C the Y coordinate would remain the same and the X coordinate would be  the opposite ( from negative to positive).

A (-4,4) would become (4,4)

B (0,0) would stay the same so would be (0,0)

C (-5,-2) would become (5,-2)

The coordinates after reflection across the y-axis are:

- Point [tex]\( A' \): \((4, 4)\)[/tex]

- Point [tex]\( B' \): \((0, 0)\)[/tex]

- Point [tex]\( C' \): \((5, -2)\)[/tex]

Step 1: Identify the original coordinates of the points.

- Point [tex]\( A \)[/tex] is at [tex]\((-4, 4)\).[/tex]

- Point [tex]\( B \)[/tex] is at [tex]\((0, 0)\).[/tex]

- Point [tex]\( C \)[/tex] is at [tex]\((-5, -2)\).[/tex]

Step 2: Apply the reflection across the y-axis.

- Reflecting a point across the y-axis changes the sign of the x-coordinate, while the y-coordinate remains unchanged.

Step 3: Calculate the new coordinates.

For Point [tex]\( A \):[/tex]

- Original coordinates: [tex]\((-4, 4)\)[/tex]

- Reflected coordinates: [tex]\((4, 4)\)[/tex]

 - Negate the x-coordinate: [tex]\(-(-4) = 4\)[/tex]

 - Keep the y-coordinate the same: [tex]\(4\)[/tex]

For Point [tex]\( B \):[/tex]

- Original coordinates: [tex]\((0, 0)\)[/tex]

- Reflected coordinates: [tex]\((0, 0)\)[/tex]

 - Negate the x-coordinate: [tex]\(-0 = 0\)[/tex]

 - Keep the y-coordinate the same: [tex]\(0\)[/tex]

For Point [tex]\( C \):[/tex]

- Original coordinates: [tex]\((-5, -2)\)[/tex]

- Reflected coordinates: [tex]\((5, -2)\)[/tex]

 - Negate the x-coordinate: [tex]\(-(-5) = 5\)[/tex]

 - Keep the y-coordinate the same: [tex]\(-2\)[/tex]

Step 4: Write the coordinates of the reflected points.

- Point [tex]\( A' \): \((4, 4)\)[/tex]

- Point [tex]\( B' \): \((0, 0)\)[/tex]

- Point [tex]\( C' \): \((5, -2)\)[/tex]

So, the coordinates after reflection across the y-axis are:

- Point [tex]\( A' \): \((4, 4)\)[/tex]

- Point [tex]\( B' \): \((0, 0)\)[/tex]

- Point [tex]\( C' \): \((5, -2)\)[/tex]

PLEASE HELP! all you need to do is drag the things in the correct order....

Answers

Answer:

16*j+4

16+8*4

16+32

48

Step-by-step explanation:

The Johnson family drove 52 miles on 4 gallons of gasoline. Which of the following equations can be used to find how far they can travel on a full tank of 15 gallons?

Answers

Answer:

y = 13x

Step-by-step explanation:

First we need to take the number miles the Johnson family drove and divide it to the number of gallons of gasoline used to find how many miles per gallon

Miles per gallon = 52/4

Miles per gallon = 13

Now that we know how many miles per gallon, let's make an equation to find how much they can travel on a full tank of 15 gallons.

Let y = number of miles traveled

Let x = number of gallons

y = 13x

Now let's see how much they can travel in 15 gallons.

y = 13x

y = 13(15)

y = 195 miles

So the Johnson family can drive 195 miles on a full tank of 15 gallons of gasoline.

Graph the solution to y< = 1/5x+2

Answers

Answer:

FDFDD

Step-by-step explanation:

John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What is the cost pero hour of each activity?

Answers

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

"John paid $222 for four hours of skiing and two hours boating":

[tex]4x+2y=222[/tex]

"He paid $213 for two hours skiing and three hours boating":

[tex]2x+3y=213[/tex]

Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

[tex]2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51[/tex]

Hence, y = 51

Now, substituting this y value into the 1st equation and solving for x will give us the value of x.

[tex]First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30[/tex]

Hence, skiing costs $30 per hour and boating costs $51 per hour.

write 6 over 10 in simplest form

Answers

Answer:

[tex]\frac{6}{10} = \frac{3}{5}[/tex]

Step-by-step explanation:

You have to divide this by "2"

Answer: 3/5

Step-by-step explanation: 6/10 can be divided by 2 because they are both even numbers then when you can no longer divided them it is simplified

Brainliest ASAP.
Divide 30 by 1/2. Then add 10. What do you get?
A.70
B.200

Answers

Answer:

A

Step-by-step explanation:

30/.5 = 60

60 + 10 = 70

Answer:

hi there your answer is:  A) 70

Step-by-step explanation:

STEP 1 : 30 ÷ 1/2 = 60

Step 2:   60 + 10 = 70

i hope this you out

Have a great evening

FaithRawlins14

Which property is illustrated by the following statement? If zxy=fde

Answers

The correct answer is the Transitive property

Answer:transitive

Step-by-step explanation:a p e x

The lines graphed below are parallel the slope of the red line is 3 what is the slope of the green line

Answers

Answer:

[tex]\large\boxed{m=3}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\--------------------------\\\\\text{We have the slope of the red line}\ m_1=3.\\\\\text{Then the slope of the green line}\ m_2=3[/tex]

Stuart has 23.75. He wants to buy 2 tickets

Answers

Answer:

15.75 + 15.75= 31.50

31.50- 23.75= 7.75

so 7.75

Plz help !! Needed to graduate

Answers


[tex] \frac{ \sqrt{ - 12} }{ \sqrt{6} } = i \sqrt{2} [/tex]
the answer to the question

Answer:  c. i√2

Step-by-step explanation:

[tex]\dfrac{\sqrt{-12}}{\sqrt6}=\dfrac{\sqrt6\cdot \sqrt{-2}}{\sqrt6}=\sqrt{-2}=\boxed{i\sqrt2}[/tex]

factor 2x^2 + 7x+3
a: (2x+2)(x+1)
b:(2x+3)(x+1)
c:(2x+1)(x+3)

Answers

Split the second term in 2x^2 + 7x + 3 into two terms

2x^2 + 6x + x + 3

Factor out the common terms in the first two terms, then in the last two terms;

2x(x + 3) + (x + 3)

Factor out the common term x + 3

= c: (2x + 1)(x + 3)

A survey of 120 middle schools showed that 30% have a foreign language program. How many schools have a foreign language program?

Equation:

Solution:

Answers

Answer:

36

Step-by-step explanation:

Equation:  Schools with foreign language program = 0.30(120 middle schools).

Solution:      "                                                                = 36

36 of these 120 middle schools have a foreign language program.

Answer:

36 schools have a foreign language program

Step-by-step explanation:

Equation: 30/100 *120=x

Solution: 3600/100=x

               36=x

Find the distance of each data value in Exercisen1 from the mean. Then find the mean absolute deviation of the data.

Answers

Answer:

Sorry, I don't know the answer to the distance, but the MAD is 5.1666666666667, or just 5 rounded to the nearest one.

Step-by-step explanation:

28+87 divided by 3•2 to the third power

Answers

Answer: =86

Step-by-step explanation:

* Hopefully the picture helps:) Mark me the brainliest:)

∞ 234483279c20∞

After solving the expression, the value get will be equal to 38.33.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given data,

28+87 = 115

Then it is divided by 3

115/3 = 38.33

The value obtained is equal to 38.33.

To know more about arithmetic operation:

https://brainly.com/question/13585407

#SPJ2

Uno de los triángulos agudos de un triángulo rectángulo mide 18° más que el otro. ¿Cuánto mide cada ángulo del triángulo?

Answers

Do u want me to translate it or what???

180 grados Es la suma de los Mides de los angulos del triangulo

180 = 90 + x + (x +18)
180 = 2x +108
-108 -108
62 = 2x
31 = x

Los angulos miden 31, 49 (31+18), y 90

If 8a+7b+c=9 then what is -6c-48a-42b

Answers

Your answer would be 6

Heather has to solve this system of equations using elimination. What should be her first step? 3x+6y = 12 x+5y = 10

Answers

Final answer:

To solve the given system of equations using elimination, Heather's first step should be to manipulate the equations so that the coefficients of one of the variables (x or y) are the same in both equations. She can achieve this by multiplying the second equation by 3.

Explanation:

Heather has to solve the system of equations using elimination. The given equations are 3x+6y = 12 and x+5y = 10. The first step in solving these equations using the elimination method should be to manipulate the equations so that the coefficients of one variable are the same or additive inverses.

This allows one to eliminate that variable by adding or subtracting the equations. In this scenario, an efficient approach would be to multiply the second equation by 3, which makes the coefficients of x the same in both equations. Hence, the equations become 3x + 6y = 12 (unchanged) and 3(x + 5y) = 3(10), which simplifies to 3x + 15y = 30. This prepares the equations for the next step in the elimination process, which involves subtracting one equation from the other to eliminate the x variable.

I need help. PLEASE HELP ME!!!!!!!

Answers

Answer:C.

Its C because 2/5+3/10=7/10.

Answer:

C

Step-by-step explanation:

CCCC!!

Please help me

Determine the value of base b if (152)b = 0x6A. Please show all steps.

Answers

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

[tex](152)_b = 0x6A[/tex]               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

[tex](6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106[/tex]

⇒[tex]0x6A=106[/tex](decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, [tex](152)_8[/tex]

Substitute this in [1] we have;

[tex](152)_b = (152)_8[/tex]

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

An architect is using software to design the interior of a rectangular room. On the floor plan, the coordinates of two consecutive corners of the room are (3, 15) and (18, 2). The architect wants to place a window in the center of the wall containing these two points. What will be the coordinates of the center of the window on the floor plan?

A.) (17, 21)
B.) (10.5, 8.5)
C.) (21, 17)
D.) (8.5, 10.5)

Answers

Answer:

The answer is B.

Step-by-step explanation:

The architect wants to place a window in the center of the wall containing these two points: (3, 15) and (18, 2).

The coordinates of the center of the window are those of the mid-point betwween the two points: ( (3+18)/2, (15+2)/2 ) = (10.5, 8.5)

The answer is B.

Answer:

Step-by-step explanation:

ignore the text n focus on the coordinates (3, 15) and (18, 2) and that "the architect wants to place a window in the center of the wall containing these two points."

so the window will be right in the middle of (3, 15) and (18, 2).

take the average of the coordinates: (3+18)/2=10.5 n (15+2)/2=8.5

ans is B. (10.5,8.5)

The sum of 6 consecutive integers is 519.

Answers

One way to do this is to consider what the average of these integers is. It would be 519/6, or 86.5. This means the six integers are "centered" around 86.5: they would be 84, 85, 86, 87, 88, and 89 (there are three numbers greater than 86.5 and three less than 86.5 in this list).

What is the solution set to this inequality, where x is a real number: -4x (less than or equal to ) 36

Answers

Answer:

The answer is negative nine

Step-by-step explanation:

When it comes to x = ?, divide the ANSWER by the mulitplicand. Example, -4x = 36 can be translated to 36 = -4 TIMES X, which here you have to use your head. Negatives cancel each other and the answer is positive, therefore -4 * -9 = 36.

Since it’s an inequality you will NOT be looking for what X equals.

Starting with -4x<36 (just assume it’s the less than equal to sign)
Divide both sides by -4 (because the 4 is negative you will also flip the sign)
Now you have
X (greater than or equal to) -9
This is your final answer

x (> or =) -9

I need help with this problem for math. 15 points!

Answers

I think it's 75 if wanting to add up to 180

Since the figure is supplementary angle it adds has to add up to 180 so u would simple do 180-105 and get 75
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