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3 years ago

13

the product of a numer, k, and four is seven more than the quotient of the number and two thirds. write an equation to represent

this situation

1 answer:

pav-90 [236]3 years ago

6 0

I attached a picture with equation because it is easier than attempting to type it out.

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Which graph is the solution to this system y-4x=-1y+x=4

natali 33 [55]

First, let's find the x and y intercepts

In the first equation

y - 4x = -1

Put x =0

y= - 1

(0, -1)

Put y=0 and the n solve for x

0 - 4x = -1

-4x = -1

x=0.25

(0.25 , 0)

The points for the first equation is (0, -1 ) and (0.25, 0)

Next is to find the intercts for the second equation

y + x = 4

put x=0

y = 4

(0, 4)

Put y =0

0 + x = 4

x = 4

( 4, 0)

The points for the second equation are;

(0, 4) and (4, 0)

Below is the graph

4 0

1 year ago

In the coordinate plane, the point X (3, 1) is translated to the point X'(4, -1). Under the same translation, the points Y(-1, -

torisob [31]

<h3>Answer:y and z</h3>

Step-by-step explanation:

<h2>bc y and z is in the alphabet </h2>

7 0

3 years ago

What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

vfiekz [6]

Answer:

$y=\frac{1}{2}x-5$

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Parallel lines always have the same slope and different y-intercepts

<u>1) Determine the slope (m)</u>

$x-2y=6$

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

$x-2y-x=6-x\\-2y=-x+6$

Divide both sides by -2

$y=\frac{1}{2} x-3$

Now, we can identify clearly that the slope of the given line is $\frac{1}{2}$ since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of $\frac{1}{2}$ as well. Plug this into $y=mx+b$ :

$y=\frac{1}{2}x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{1}{2}x+b$

Plug in the given point (-6,-8)

$-8=\frac{1}{2}(-6)+b\\-8=-3+b$

Add 3 to both sides to isolate b

$-8+3=-3+b+3\\-5=b$

Therefore, the y-intercept is -5. Plug this back into $y=\frac{1}{2}x+b$ :

$y=\frac{1}{2}x-5$

I hope this helps!

7 0

3 years ago

Give the equation of the circle centered at the origin and passing through the point (0,5)

Julli [10]

Answer:

$x^{2} +y^{2}=25$

Step-by-step explanation

The standard equation of a circle centered at origin is $x^{2} +y^{2} =r^{2}$

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius $r=\sqrt{(0-0)^{2}+(5-0)^{2} }$

$r=\sqrt{0+25}$

$r=\sqrt{25}$

$r^{2}=25$

∴ The equation of the circle is

$x^{2} +y^{2} = 25$

5 0

3 years ago

Yakvenalex [24]

Answer:

7 -if rounded to the nearest tenth would be 10

Step-by-step explanation:

The median is the number in the middle so

6-6-7-7-10-12-14

There are 7 numbers here so the middle number is 4 because there are 3 numbers before 4 and 3 numbers after 3 to get to 7 (that’s really hard to explain sorry but it’s a simple concept) my trick is to write it down then use two fingers to point at the first and last number and keep doing that moving in til I get to the middle number, which is 7. :)

6 0

3 years ago