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3 years ago

Solve for X. x+5=2x-11

1 answer:

7 0

First you need to subtract "x" from the left side on both sides, then you have 5=x-11. then you add eleven to each side. this gives you 16=c

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A line passes through the point (–6, –3) and has a slope of 2/3 . Which point is on the same line?

navik [9.2K]

Answer:

The point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

The point (-6, -3)

The slope m = 2/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

m = 2/3

(x₁, y₁) = (-6, -3)

substituting the values m = 2/3 and the point (-6, -3) in the point-slope form

$y-y_1=m\left(x-x_1\right)$

$y-\left(-3\right)=\frac{2}{3}\left(x-\left(-6\right)\right)$

$y+3=\frac{2}{3}\left(x+6\right)$

Subtract 3 from both sides

$y+3-3=\frac{2}{3}\left(x+6\right)-3$

$y=\frac{2}{3}x+4-3$

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

comparing with the slope-intercept form y=mx+b

Here the slope = m = 2/3

Y-intercept b = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Given the line

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

at x = 0, y = 1

Thus, the point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

5 0

3 years ago

My brother is currently three times as old as me, but in five years, my brother

wolverine [178]

Answer: Your brother is 15 years old right now.

Step-by-step explanation:

Let be "m" your currently age and "b" your brother's currently age.

Knowing that right now he is three times (this indicates multiplication) as old as you, you can write the following equation:

$b=3m$

In five years your age will be:

$m+5$

And your brother's age will be:

$b+5$

Then, if in five years, your brother will be twice as old as you, you can set up the second equation:

$b+5=2(m+5)$

Then, the System of equations is:

$\left \{ {{b=3m} \atop {b+5=2(m+5)}} \right.$

Apply the Substitution method and substitute the first equation into the second one and solve for "m":

$3m+5=2(m+5)\\\\3m+5=2m+10\\\\m=10-5\\\\m=5$

Substitute the value of "m" into the first equation and evaluate in order to find "b":

$b=3(5)\\\\b=15$

4 0

3 years ago

How many types of progression in mathematics?<br><br>

barxatty [35]

There are three different type

Explain

In math , there are three different type , they are arithmetic progression ( Ap) , Geometric progression and Harmonic

Arithmetic Progression - When a fix constant is added to each number except the first number.

For example : 2,4,6,8,10..... Here 2 is added each time to get the next number.

2. Geometric Progression - When a fix constant is multiplied to each number except the first number.

For example : 2,6,18,54.... Here 3 is multiplies each time to get first number.

3. Harmonic - a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression.

For example : 1/2 , 1/4 , 1/6, 1/8 ....

3 0

3 years ago

What is the quotient of 396 divided by 12?

adelina 88 [10]

Here you go. Hope you get this.