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3 years ago

Why it is not possible for two lines to be parallel and perpendicular?

1 answer:

max2010maxim [7]3 years ago

7 0

Parallel lines have the same slope. for example, the two lines y = 6x + 3 and
y = 6x - 5 are parallel because they have the same slope, 6x.

the slopes of perpendicular lines are opposite reciprocals, which means that you would flip the numbers of the fraction and make it negative. for example, the opposite reciprocal of -3x is 1/3x.

also, parallel lines never intersect, whereas perpendicular lines intersect at a 90 degree angle.

therefore, it isnt possible for two lines to be both parallel and perpendicular.

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What is y=-4/3x +6. y=2

Mekhanik [1.2K]

The given equation is:
[/tex]y=-\frac{4}{3}x+6 [/tex] and we need to evaluate this for y=2.
So, first step is to plug in 2 for y in the above equation. Therefore,

$2=-\frac{4}{3} x+6$
$2*3=-\frac{4}{3} x*3+6*3$ Multiply each sides by common denominator 3
$6=-4x+18$
6-18= -4x Subtract 18 from each sides.
-12=-4x
$-\frac{12}{-4} =-\frac{4x}{-4}$
So, x=3

5 0

3 years ago

Find the equation of the line using the point-slope forumla. Write the final equation using the slope-intercept form. parallel t

Greeley [361]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 3x - 2 is in this form with slope m = 3

• Parallel lines have equal slopes

Hence the slope of the parallel line = 3

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 3, - 14), hence

y + 14 = 3(x + 3) ← in point- slope form

Distribute and simplify

y + 14 = 3x + 9 ( subtract 14 from both sides )

y = 3x - 5 ← in slope- intercept form

6 0

3 years ago

The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

AleksAgata [21]

Answer:

$\large \boxed{2}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

$\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}$

Check:

$\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}$

It checks.

7 0

3 years ago

tiffany has breakfast at a restaurant and the cost of her meal is $27.00.because of the service.she wants to leave a 10% tip.wha

Bess [88]

27*.1= 2.70

27+2.70= 29.70 Total bill

3 0

3 years ago

baseball card come in packs of a dozen 12 cards matt has 132 baseballcards.how many packs of baseball cards did he buy i need he

Hunter-Best [27]

Well let's see first we have to divide
132 divided by 12 is 11
Now to check and prove your answer we should use the multiplication.
11 times 12 is 132.
So now you have a solid answer with proof behind it.
If u need a sentence you might want it to go something like this;
Matt brought 11 packs of baseball cards since 132 divided by 12 is 11. 12 times 11 is 132 cards.
Hope I helped!

5 0

3 years ago

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