D(n) = 6 - 4(n - 1)d(n)=6−4(n−1)

VARVARA [1.3K]

Perpendicular line has slope that multiplies to -1
paralel line has same slope

y=mx+b
slope=-7/4
perpendicular
4/7
(-7,-2)
-2=4/7(-7)+b
-2=-4+b
add 4 both sides
2=b
y=4/7x+2

paralel
y=-7/4x+b
-2=-7/4(-7)+b
-2=49/4+b
minus 49/4 from both sides (-2=-8/4)
-57/4=b
y=-7/4x-14.25

perpendicular
y=4/7x+2
paralel
y=-7/4x-14.25

8 0

2 years ago

Solve the system using the substitution method<br> 6x - 2y = -4<br> y= 3x + 2

Anit [1.1K]

Answer:

Step-by-step explanation:

6x - 2y = -4

y= 3x + 2

We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.

6x - 2(3x +2) = -4

Now usually we'd we simply solve for X.

6x - 6x -4 = -4

This clearly does not work as we cannot get rid of X

Therefore, this system of equations has no solution we can find through substitution

3 0

3 years ago

Read 2 more answers

=

svet-max [94.6K]

Answer:

The polygon has 9 sides

Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

step 1

Find the measure of the interior angle

Remember that

The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

so

$x+40^o=180^o$

solve for x

$x=180^o-40^o=140^o$

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

$x=\frac{(n-2)180^o}{n}$

where

n is the number of sides of the polygon

substitute the given values

$140^o=\frac{(n-2)180^o}{n}$

solve for n

$140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides$

therefore

The polygon has 9 sides

8 0

2 years ago

A state's license plates consist of four letters followed by three numerals, and 242 letter arrangements are not allowed. How ma

PolarNik [594]

Answer: There are 456975758 plates that the state can issue.

Step-by-step explanation:

Since we have given that

Number of letters = 4

Number of numerals = 3

And 242 letter arrangements are not allowed.

As we have 26 letters i.e A-Z

and numerals i.e, 0-9

So, the number of plates would be

$(26^4)\times 10^3=456976000$

So, the restricted letters deducting would be

$456976000-242=456975758$

Hence, there are 456975758 plates that the state can issue.

6 0

2 years ago

3. Solve the system using

anzhelika [568]

Answer:

D. Infinite solutions.

Step-by-step explanation:

Since they give us the equation for (y) we just implement that equation in place of (y) in the second equation

15x+3y=27 now becomes

15x+3(-5x+9)=27

Distribute the 3

15x-15x+27=27

15x and -15x cancel out

27=27

Infinite solutions since both sides are exactly equal.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

3 0

2 years ago