For the graph x = 78 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences.

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

For more questions Pythagorean theorem:

https://brainly.com/question/343682

#SPJ8

Answer:

X. f(x)

0 -10

3 -4

5 0

6 2

then now polt the following points on

graph

(0,-10),(3,-4),(5,0),(6,2)

Step-by-step explanation:

hi by hi by hi bye hi by hi bye bye

Answer:d

Step-by-step explanation:

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Answer:

72

Step-by-step explanation:

angles in a triangle add up to 180 degrees so 36+36= 72

180-72=108.

interior angle (mSRT) is 108

interior + exterior = 180 sooooo

180-108=72

there for exterior angle (mSRX) is 72

Answer:nth term=a1 - 27n + 27

Step-by-step explanation:

first term =a1

common difference=d=-1-21

d=-27

Using the formula

Tn=a1 + d x (n-1)

nth term=a1 + (-27)(n-1)

nth term=a1 - 27n + 27

Answer:

\(r=\frac{21}{20}\)

Step-by-step explanation:

Given the following question:

\(\frac{1}{4} =r-\frac{4}{5}\)
Add 4/5s on both sides:
\(-\frac{4}{5} +\frac{4}{5} =0\)
\(\frac{1}{4} +\frac{4}{5}\)
Find the LCM:
\(\frac{5}{20}+\frac{16}{20}\)
\(\frac{5+16}{20}\)
\(\frac{21}{20}\)
\(r=\frac{21}{20}\)

Hope this helps.

let's firstly convert the mixed fraction to improper fraction, now keeping in mind that the LCD of the denominators 4 and 5 is 20, let's use that LCD to do away with the denominators.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{9}{4}=r-\cfrac{4}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( -\cfrac{9}{4} \right)=20\left( r-\cfrac{4}{5} \right)}\implies -45=20r-16 \\\\\\ -29=20r\implies -\cfrac{29}{20}=r\implies -1\frac{9}{20}=r\)

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

Therefore, the solutions for θ in the interval 0° ≤ θ ≤ 360° are approximately 131.81° and 228.19°.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right triangles. It is used to study and analyze various phenomena that involve periodic functions, such as waves, oscillations, and sound. Trigonometry also has practical applications in fields such as physics, engineering, navigation, and surveying. It involves the use of trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent to calculate the sides and angles of triangles and other geometric figures.

Here,

Let's solve for θ:

First, let's substitute u = cos(θ), so we have:

3u² - 5u - 4 = 0

Now we can use the quadratic formula:

u = [ -(-5) ± √((-5)² - 4(3)(-4))] / (2*3)

u = [ 5 ± √(49) ] / 6

u1 = (5 + 7) / 6 = 2

u2 = (5 - 7) / 6 = -2/3

Since the cosine function has a range of -1 ≤ cos(θ) ≤ 1, we can discard the solution u1 = 2.

Now we can solve for θ:

cos(θ) = u2 = -2/3

θ = cos⁻¹(-2/3) ≈ 131.81°  

θ = 360° - cos⁻¹(-2/3) ≈ 228.19°

To know more about trigonometry,

https://brainly.com/question/26719838

#SPJ1

Answer:

A

Step-by-step explanation:

20/20 X 100 = 100%

have a good day

Answer:

$5.86

Step-by-step explanation:

The total was $36.31

We were given the price of 1, which was $1.15

$36.31-$1.15 = $35.16 remaining

Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6

$35.16/6 = $5.86

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

Learn more about distance here:

https://brainly.com/question/26046491

#SPJ1

A number y multiplied by −3 is less than −1/2. Write this word sentence as an inequality:

Answer:

19

Step-by-step explanation:

We are given the following two functions of s

\(p(s) = s^3 + 10s\\f(s) = 6s - 3\\\\\text{To find p(2) substitute 2 for s in p(s)}\\p(2) = (2)^3 + 10(2) = 8 + 20 = 28\\\\\)

\(\text{To find f(2) substitute 2 for s in f(s)}\\f(2) = 6(2) - 3= 12 - 3= 9\\\)

\(p(2) - f(2) = 28 - 9 = 19\)

The missing side length of the figure is given as follows:

6 cm.

The segment addition postulate is a geometry axiom that states that a segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.

For this problem, we have that:

Hence the missing side length of the figure is obtained as follows:

16 - 10 = 6 cm.

More can be learned about the segment addition postulate at https://brainly.com/question/2134445

#SPJ1

Let's begin by listing out the given information:

The figure of the question is attached below

This is a right triangle. As such, we will solve using Trigonometric Ratio (SOHCAHTOA). In this case, we will use SOH

Answer:

B

Step-by-step explanation:

He makes 50 by the pens, and the pencils, but he loses 20 because he loses 2 each time he sells a pencil

Answer:

B. 9+b

Step-by-step explanation:

if b represents the number of buttons more than 9, then you just have to add 9 to that and you get your equation.

This explanation made better sense in my head...

1. The point on the plane where the lines intersect represents the complex number (CLICK IMAGE)

2. The absolute value of the complex number 12-9i is 15.

1. To plot the complex number 12-9i, we can visualize it on the complex plane. The real part (12) corresponds to the x-axis, and the imaginary part (-9) corresponds to the y-axis.

Plotting the complex number:

On the complex plane, we move 12 units to the right along the x-axis and 9 units downward along the y-axis to represent the complex number 12-9i.

2. Finding the absolute value:

The absolute value (or modulus) of a complex number is calculated using the formula:

|a + bi| = √(a^2 + b^2)

For the complex number 12-9i, the absolute value is:

|12-9i| = √(12^2 + (-9)^2)

= √(144 + 81)

= √225

= 15

For more question on complex number click on

https://brainly.com/question/29747482

#SPJ11

Answer:

22'00 the answer is 22'00 because u add it together

Answer:

Step-by-step explanation:

\(\frac{3x^4}{(\frac{1}{x^2})^2} \\= 3x^8\)

Answer:

\(3x^{8}\)

Step-by-step explanation:

\((x^{-2})^{2}\) is equal to \(x^{-4}\). Whenever an x has a negative exponent, it means that you can put it to the other side, whether it be from denominator to numerator or numerator to denominator. In this case, because it is in the bottom it goes from denominator to numerator. You will end up with something like \(3x^{4} x^{4}\) but you can add the X's and end up with the answer.

Answer:

1. true - dilating figures does not change their angle measure

2. true - dilating figures does not change the orientation, so AD would still be on a horizontal line parallel to its current position

Answer:

(0, -6) is the y-intercept.

Answer:

The range is 34!

Step-by-step explanation:

87-53=34

Answer:

34

Step-by-step explanation:

Hope this helps.

Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.  

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

y-(-9) = -6(x-(-4)), y = -6x-33

Answer:

gohdsyuufdyiikkjhfddyiooufddtuiokhfd

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)