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3 years ago

3×-3y=6find the slope and y-intercept for each line

2 answers:

8 0

The y intercept would be -2 and the slope is 1. The formula is y=mx+b. So you would subtract 3x to the other side. Then you would divide -3 from y to both -3x and 6. Your y=mx+b would be y=x-2

Rufina [12.5K]3 years ago

7 0

The slope of this line is 1 and the y-intercept is -2.

In order to find this, you need to put it in slope intercept form. This is done below for you.

3x - 3y = 6 -----> Subtract 3x from both sides

-3y = -3x + 6 -----> Divide by -3

y = x - 2

Now that you have this, you can find the slope by looking for the coefficient of x. In this case it is 1. You can find the intercept as the constant at the end, which is -2.

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Find the sum of the infinite geometric sequence:<br>8, 4, 2, 1, .......

tatyana61 [14]

Answer:

<h3>Therefore the sum if the series is 15.98!</h3>

The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.

8⋅1/2=4

4⋅1/2=2

2⋅1/2=1 etc ...

because the absolute value of r is less than 1 we can use the following formula.

a/1−r where a is the first term and r is the common ratio

In our problem

a=8 and r=0.5

Substitute

8/1−0.5=8/0.5=16

The sum of this infinite geometric series is 16.

Also, another formula you can use that is guaranteed to work every time, no matter what, is:

Sn=a(r^n−1/r−1)

All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:

S10=8(0.5^10−1/0.5−1)

S10=15.984375

Therefore the sum if the series is 15.98!

Step-by-step explanation:

<h2>Hope it is helpful....</h2>

7 0

3 years ago

Solve the missing tables part 2.

Nimfa-mama [501]

Hopefully this helps

3 0

3 years ago

Find the area of triangle DEF with vertices D(-1,2), E(3,-2) and F(-2,-2).*

Veronika [31]

Answer:

<em>The area of the triangle DEF is 10.</em>

Step-by-step explanation:

<u>Area of a Triangle:</u>

A triangle of base B and height H (both must be perpendicular) has an area of:

$\displaystyle A=\frac{BH}{2}$

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.

This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:

B=3-(-2)=3+2=5

Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.

H=2-(-2)=4

With these two values, we calculate the area:

$\displaystyle A=\frac{5*4}{2}=10$