Write the equation of a line that goes through the point (2, 4) that is parallel to the
line y = 3x - 6.

Answer: D

Step-by-step explanation: i did this

Answer:

Step-by-step explanation:

The line parallel to the x-axis has same coordinate for any value of x. The slope is zero.

This line has the form:

The only option with similar form is C

Answer:

(13,-6)

Step-by-step explanation:

If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.

Apply this translation T to (4,7) and you get (13,-6).

Answer:

(13,  -6)

Step-by-step explanation:

Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:

[tex](x2 - x1, y2 - y1)[/tex]

Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:

[tex](6 - (-3), -8 - 5)\\(9, -13)[/tex]

So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.

To calculate the new translation of the new point, add the translation onto the given coordinates:

[tex]( 4 + 9, 7 + (-13) )\\(13, -6)[/tex]

So the new point is (13,  -6).

Hope this helps!

Answer:

  $37,141

Step-by-step explanation:

The applicable line of the tax table is ...

  $28,765+24% of the amount over $168,400

If A represents the amount of taxable income, this simplifies to ...

  $28,765 +0.24(A - 168,400) = $28,765 +0.24A -40416 = 0.24A -$11,651

For their income of 203,300, Sally and Ahmed owe ...

  0.24×203300 -11651 = 48792 -11651 = 37141

They owe $37,141.

Answer:

[tex]y = - \frac{1}{5} x - 7[/tex]

Step-by-step explanation:

let's rewrite the equation

[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]

Now let's use the given point and substitute it to find the y-intercept

[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]

The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The point is  (-5,-6) and is parallel to the line x+5y=25.

According to given question we have

By use of slope we get

x+5y=25

5y=25-x

Divide both sides 5 we get,

y=-1/5x+5

Where m= -1/5

Now you can find the equation of the parallel line using

[tex](y-y_{0} )=m(x-x_{0})[/tex]

Put the given point as (-5,-6) we have,

[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]

Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

Learn more details about slope here:

https://brainly.com/question/3605446

#SPJ2

9514 1404 393

Answer:

  (a)  f(3) < g(3)

Step-by-step explanation:

Put the number where the variable is and do the arithmetic.

  f(3) = 4·3³ = 4·27 = 108

  g(3) = 3·4³ = 3·64 = 192

  108 < 192

  f(3) < g(3)

Answer:

students=315 adults=135

Step-by-step explanation:

3s=7a

s+a=450

s=450-a

3(450-a)=7a

1350-3a=7a

1350=7a+3a

1350=10a

a is 135

a is adult

s=450-a

s=450-135

s=315

branlist please

Graph 1 - no

Graph 2 - no

Graph 3 - yes

Graph 4 - no

Graph 5 - no

Graph 6 - yes

Good luck !!

Answer:

D) [0, ~)

Step-by-step explanation:

Domain of a Function:

the domain of a function is the set of values of x, the independent variable, that are responsible for the graph of the function.

For Example:

suppose, we have a function:

f(x) = 3x - 1

and it's domain is {1, 2, 3}

that means, the corresponding value of f(x) to these 3 values of x will be DEFINED, I.e., they exist and can be plotted on a graph.

The given function:

Therefore, for the given function, it's domain will be those values of x(the ones plotted on the horizontal line), that give some value to the function ,i.e., for which we can draw it's graph.

and since the graph starts from x = 0 and continues towards infiinity

(the arrow on the curve shows that the graph continues and hasn't yet come to a stop.)

So, that way we got [0, ~). ^^

9514 1404 393

Answer:

  0.9114

Step-by-step explanation:

That multiplier would be ...

  (1 -2%)×(1 -7%)

  = (1 -0.02)(1 -0.07)

  = 0.98×0.93 = 0.9114

Answer:

a. 19

Step-by-step explanation:

5/6x-1/5x=19

5/6(30)-1/5(30)=19

25-6=19

19=19

?/30(30)=19

19/30(30)=19

19=19

I'm not sure if this is exactly what you're looking for, but 19=19 if you plug in 19 for the box (and x=30 because of the first section, I'm guessing)

Answer:

8 hours

Step-by-step explanation:

Number of pages read in 1hour = 403 / 13 = 31 pages

Time taken to read 248 page book = 31 x 8 = 248

It takes 8 hours to read 248 pages book

Answer:

They both go to equivalent

Step-by-step explanation:

Answer:

The answer is 9

Step-by-step explanation:

[tex]21*\frac{3}{7} \\ \frac{21}{1}*\frac{3}{7} = \frac{63}{7} = 9 \\[/tex]

Answer:

Not here.

Step-by-step explanation:

F. The converse of the conditional.

The converse would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is winter in the United States, then it is January" (Converse).

It is not true, as it can be December, January, or February during the winter season.

G. The inverse of the conditional.

The inverse would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is not January, then it is not winter in the United States" (Inverse).

Again, as the above states, the winter season encompasses more than just the month of January.

H. The contrapositive of the conditional.

The contrapositive would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is not January, then it is not winter in the United States" (Contrapositive).

Again, there is more than just January in the winter season.

~

Answer:

Not a complete question... Sorry

Answer:

45 girls

Step-by-step explanation:

There is 4 more boys than girls in each ratio.

60 boys / 4 = 15 groups where there is more boys

3 (girls) x 15 groups = 45 girls in total

Answer:

13

Step-by-step explanation:

Answer:

x = 32.5

Step-by-step explanation:

If ABC is congruent and equal to DEC then angle CDE = angle CBA since AB || DE

thus ABC = 2x = 65 where x = 65/2 = 32.5

Answer:

The vertex is the maximum or minimum point of the quadratic function. It can be used to solve real world problems optimization problems that can be modeled with quadratic functions

Step-by-step explanation:

hope this helps^^

brainliest maybe??<3

Answer:

y = 9/2x - 4

Step-by-step explanation:

Slope: 9/2

Point: (2,5)

b = 5 - (9/2)(2)

= 5 - 9 = -4

b = - 4

Answer:

$1.80

Step-by-step explanation:

You need to divide the amount he paid for the 12 packs by 12 and you get 1.80

Answer:

6

56

this is answer

Step-by-step explanation:

Here we will show you how to calculate 6/7 divided by 8. We will give you the answer in fraction form and in decimal form.

Here is 6/7 divided by 8 displayed mathematically in colors:

6

7

÷

8

The numbers in 6/7 divided by 8 are labeled below:

6 = numerator

7 = denominator

8 = whole number

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

6

7 x 8

=

6

56

Thus, the answer to 6/7 divided by 8 in fraction form is:

6

56

Answer: Choice C

4/(3*sqrt(3))

which is the same as writing [tex]\frac{4}{3\sqrt{3}}[/tex]

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

Explanation:

We have the line [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] in which points B and C are on this line. In other words, all of segment BC is on that line.

Point A is somewhere off that line as the diagram below indicates. We need to find the line through A that is perpendicular to the given line.

Recall that for any line of the standard form [tex]Px+Qy+R = 0\\\\[/tex], any perpendicular line will look like this: [tex]Qx-Py+S = 0\\\\[/tex]. Note the swap and sign change for the P,Q coefficients.

So anything perpendicular to [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] will be of the form [tex]x-\left(\sqrt{2}\right)y+S = 0[/tex]. The sub-goal here is to find what S is equal to.

If you plugged in the origin point (x,y) = (0,0), then you should find that S = 0.

Therefore, the equation [tex]x-\left(\sqrt{2}\right)y = 0[/tex] is perpendicular to the given line and it passes through point A(0,0).

---------------------------

The reason why we computed that perpendicular line is to help determine the point D as shown in the diagram below. This point is at the intersection of the green perpendicular lines. This is at the base of the triangle such that BC is the base.

To find the location of point D, you need to solve this system of equations

[tex]\begin{cases}\left(\sqrt{2}\right)x+y +2 = 0\\\\x-\left(\sqrt{2}\right)y = 0\end{cases}[/tex]

Let's isolate x in the second equation

[tex]x-\left(\sqrt{2}\right)y = 0\\\\x=\left(\sqrt{2}\right)y\\\\[/tex]

Then substitute that into the other equation. Solve for y.

[tex]\left(\sqrt{2}\right)x+y +2 = 0\\\\\left(\sqrt{2}\right)*\left(\sqrt{2}\right)y+y +2 = 0\\\\2y+y +2 = 0\\\\3y +2 = 0\\\\3y = -2\\\\y = -2/3\\\\[/tex]

Now we can find x like so

[tex]x=\left(\sqrt{2}\right)y\\\\x=\left(\sqrt{2}\right)*(-2/3)\\\\x=\frac{-2\sqrt{2}}{3}\\\\[/tex]

The point D is located at the exact coordinates of

[tex]D=(x,y) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\[/tex]

---------------------------

Next, we use the distance formula to compute the distance between point A and point D.

I'll use lowercase d to represent distance.

[tex]A = (x_1,y_1) = (0,0)\\\\D = (x_2,y_2) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{\left(0-\left(\frac{-2\sqrt{2}}{3}\right)\right)^2 + \left(0-\left(\frac{-2}{3}\right)\right)^2}\\\\d = \sqrt{\left(\frac{2\sqrt{2}}{3}\right)^2 + \left(\frac{2}{3}\right)^2}\\\\d = \sqrt{\frac{8}{9} + \frac{4}{9}}\\\\d = \sqrt{\frac{12}{9}}\\\\d = \sqrt{\frac{4}{3}}\\\\d = \frac{\sqrt{4}}{\sqrt{3}}\\\\d = \frac{2}{\sqrt{3}}\\\\[/tex]

This represents the exact length of segment AD.

---------------------------

Since triangle ABC is equilateral, this means triangles ADB and ADC are identical mirrored copies of each other. Those two smaller triangles are equal in area and combine to form triangle ABC back again. Furthermore, they are right triangles. This last fact mentioned will allow us to use the pythagorean theorem like so

[tex]a^2+b^2 = c^2\\\\\left(\text{AD}\right)^2+\left(\text{DC}\right)^2=\left(\text{AC}\right)^2\\\\\left(\frac{2}{\sqrt{3}}\right)^2+\left(\frac{x}{2}\right)^2=\left(x\right)^2\\\\[/tex]

where x represents the lengths of AB, BC and AC.

After skipping a bit of steps, solving that said equation should lead to these two solutions

[tex]x = -\frac{4}{3}, \ x = \frac{4}{3}[/tex]

Because x is a side length, we ignore the negative solution.

---------------------------

We can now compute the area of triangle ABC

[tex]\text{area of triangle} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{area of triangle ABC} = \frac{1}{2}*\text{BC}*\text{AD}\\\\\text{area of triangle ABC} = \frac{1}{2}*\frac{4}{3}*\frac{2}{\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{1*4*2}{2*3*\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{8}{6\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{4}{3\sqrt{3}}\\\\[/tex]

which points us to choice C as the final answer.

When writing this on a keyboard, we would write "4/(3*sqrt(3))" without quotes. The use of parenthesis is needed to ensure we divide by all of 3*sqrt(3). Otherwise, the computer might mistake it for [tex]\frac{4}{3}\sqrt{3}[/tex] which is entirely different.

Answer is

2, 4, 6, 8

Answer:

y = 18

Step-by-step explanation:

Without a picture or more information, this question is actually unsolveable. The answer could be multiple things, because there are multiple way to get from 8 to 14. But I will just assume that the equation for solving is:

x + 6 = y

So plug in 12 for x and you get y = 18.

Answer:

A.

Step-by-step explanation:

The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is         N-8=22.

Have a great day!