What is the angle Between two parallel lines? Hmm?ಠ_ಠ

Answer (assuming it is allowed to be in point-slope format):

[tex]y-4 = \frac{2}{3}(x-1)[/tex]

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, [tex]y = -\frac{3}{2} x-4[/tex]. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since [tex]-\frac{3}{2}[/tex] is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be [tex]\frac{2}{3}[/tex].  

2) Now, use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] to write the new equation with the given information. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]\frac{2}{3}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for [tex]x_1[/tex] and 4 for [tex]y_1[/tex]. This gives the following equation and answer:

[tex]y-4 = \frac{2}{3}(x-1)[/tex]

Answer:

$67.64

Step-by-step explanation:

[tex]57.32*1.18=67.6376\\[/tex]

Rounding it off to the nearest cent, we get $67.64.

Answer:

$3.65/$18.25

Step-by-step explanation:

$3.65/$18.25

=0.2=2%

This is the correct answer

4

Step-by-step explanation:

I do not know but maybe 1/4

Answer:

c=2

Step-by-step explanation:

Given function:

divide 6 by 3 to find c.

subtract to check:

Therefore, c=2.

Answer:

6:5

Step-by-step explanation:

Divide both sides by y . ⇒5xy=6y y. ⇒5xy=6. Divide both sides by 5 . ⇒5 x5 y=65. ⇒xy=65. ⇒x:y=6:5.

The ratio between x and y, when 5x = 6y, is 6:5.

Given is an equation 5x = 6y, we need to find the ratio between x and y,

To determine the ratio of x to y in the equation 5x = 6y, we need to isolate one of the variables and express it in terms of the other.

Let's isolate x:

5x = 6y

Divide both sides of the equation by 5:

x = (6y) / 5

Now we have an expression for x in terms of y. The ratio of x to y can be represented as:

x/y = (6y) / (5y)

The y terms cancel out:

x/y = 6/5

Therefore, the ratio of x to y is 6:5.

Learn more about ratio click;

https://brainly.com/question/32531170

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see topper. com

Step-by-step explanation:

uyhhghjggg

Answer:

1

Step-by-step explanation:

Anything divided by itself is always 1.

Answer:

the answer is 1

Step-by-step explanation:

Answer:

36°

Step-by-step explanation:

let x be the required angle then

x = [tex]\frac{2}{3}[/tex] ( 90 - x)  [ complementary angles sum to 90° ]

x = 60 - [tex]\frac{2}{3}[/tex] x ( add [tex]\frac{2}{3}[/tex] x to both sides )

[tex]\frac{5}{3}[/tex] x = 60 ( multiply both sides by [tex]\frac{3}{5}[/tex] )

x = 36°

note 36° is [tex]\frac{2}{3}[/tex] of 54°

Answer:

c+d = 5/3

Step-by-step explanation:

3(c+d) = 5

Divide each side by 3

3/3(c+d) = 5/3

c+d = 5/3

Answer:

3(1+d)=5

3×1=3

3×d=3d

:3+3d-5

3d-2

3d=2 (Devide both sides by 3)

d=2/3

Answer:

[tex]H_a > \mu = 24.5[/tex]

Step-by-step explanation:

Given

[tex]n = 28[/tex] --- sample size

[tex]\bar x = 25.3[/tex] --- Mean

[tex]x = 24.5[/tex] --- Average

Required

Determine the alternate hypothesis

From the question, we understand that it is safe to drink water at 24.5 ppb or less.

This implies that the null hypothesis is:

[tex]H_0 \le \mu = \bar x[/tex]

i.e.

[tex]H_0 \le \mu = 24.5[/tex]

The opposite of [tex]\le[/tex] is [tex]>[/tex]

So, the alternate hypothesis will be:

[tex]H_a > \mu = \bar x[/tex]

[tex]H_a > \mu = 24.5[/tex]

Hence: (c) is correct

Answer:

D.  18,535

Step-by-step explanation:

See attached picture

Answer:

    -400

Step-by-step explanation:

Answer:

Her loss was 400

Step-by-step explanation:

CP= 1200

SP= 800

L=?

Now,

L= CP - SP

= 1200 - 800

=400

Answer:

C. 344 square centimeters

Answer:

3.5 inches

Step-by-step explanation:

half of 7 is 3.5

Answer:

r = 4

Step-by-step explanation:

2r = 13 + -5

2r = 8

r = 4

Hope that helps!

Answer:

Step-by-step explanation:

Are you referring to the number line? Start at “0” and go left to “-2”

Answer:

76 cm cubed

Step-by-step explanation:

2 x 2 x 4 = 16 cm cubed

3 x 4 x 5 = 60 cm cubed

Answer:

ab = a(b)

Step-by-step explanation:

cuz u can just add parentheses

Answer:

What kind of graph?

Answer:

Answer is M.

Step-by-step explanation:

I hope it's helpful!

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount, and r is the decay rate.

The half-life of carbon-14 is about 5600 years.

This means that [tex]A(5600) = 0.5A(0)[/tex]. We use this to find r, or 1 - r, to replace in the equation. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{5600}[/tex]

[tex](1-r)^{5600} = 0.5[/tex]

[tex]\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}[/tex]

[tex]1 - r = (0.5)^{\frac{1}{5600}}[/tex]

[tex]1 - r = 0.9999[/tex]

So

[tex]A(t) = A(0)(0.9999)^t[/tex]

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which [tex]A(t) = 0.02A(0)[/tex]. So

[tex]A(t) = A(0)(0.9999)^t[/tex]

[tex]0.02A(0) = A(0)(0.9999)^t[/tex]

[tex](0.9999)^t = 0.02[/tex]

[tex]\log{(0.9999)^t} = \log{0.02}[/tex]

[tex]t\log{0.9999} = \log{0.02}[/tex]

[tex]t = \frac{\log{0.02}}{\log{0.9999}}[/tex]

[tex]t = 39118[/tex]

The estimated age of the skull is 39118 years.

Answer:

-4

Step-by-step explanation:

5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =

Simplify.

5 - [6 - 2 + 7 - 3 + 6] + 5 =

Subtract

5 - [4 + 7 - 3 + 6] + 5 =

Add

5 - (11 - 3 + 6) + 5

Subtract

5 - (8 + 6) + 5

Add

5 - 14 + 5

Simplify by adding and subtracting.

-4

good luck, i hope this helps :)

Answer:

[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5

=-4

I hope this help

Answer:

Step-by-step explanation:

Although you can start with 4x^2-2x-4=0, it's just slightly easier to reduce the coefficients.  4x^2-2x-4=0 becomes 2x^2 - x - 2 = 0.

The discriminant (part of the quadratic formula) is b^2 - 4ac.  Using b = -1. a = 1 and c = -2, we get (-1)^2 - 4(2)(-2), or 17.

                                                       -b ± √(b^2 - 4ac)

Then the quadratic formula   x = ---------------------------

                                                                 2a

                                         -(-1) ± √17           1 ± √17

takes on the values  x = -----------------  =  ---------------

                                                  4                      4

Answer:

I need help on this as well

Answer:

1.biking speed for the second practice ride

2.add

Step-by-step explanation:

This is right for plato bc i got it right:)

Answer:

(4.7) ⁴

(4.7)-⁴

Step-by-step explanation:

Mark brainliest please