A line is graphed on the coordinate plane shown below. What is the equation of the line? ​

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the length of the diagonal, Usinng Pythagoras:

d² = 22² + 22²

d = 31 feet

Using trigonometric identity:

sin(45) = 22/d

d = 31 feet

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

arc UH = 67°

Step-by-step explanation:

the measure of a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , then

[tex]\frac{1}{2}[/tex] ( BE + UH ) = ∠ BKE , that is

[tex]\frac{1}{2}[/tex] (119 + UH ) = 93° ( multiply both sides by 2 to clear the fraction )

119° + UH = 186° ( subtract 119° from both sides )

UH = 67°

Answer:

Step-by-step explanation:

∠HKU = ∠BKE   {Vertically opposite angles}

∠HKU = 93°

Angles fromed by insecting chords equals half the sum of intercepting arcs.

      [tex]\sf \angle HKU =\dfrac{1}{2}(arc \ HU + arc \ BE) \\\\ 93^ \circ = \dfrac{1}{2}(arc \ HU + 119)[/tex]

   93 *2 = arc HU + 119

   186    = arc HU + 119

186 - 119 = arc HU

arc HU = 67°

Answer:

x=9.167

Step-by-step explanation:

12x+240=350

350-240 because you are getting rid of 240 to get 12x by itself so you must do it on the other side.

12x=110, then you do 12x/12 and 110/12

x=9.167

Answer: Approimately $9.16

Step-by-step explanation:

In this problem, you have to solve for x variable.

1. Distribute the 12 to the x + 20 which is 12x + 240

2. Subtract 240 from both sides so 350 - 240 is 110.

3.  Now your equation is 110 = 12x

4. Divide 12 on both sides. But 12 doesn't go into 110 perfectly.

5. 110 divided by 12 is approximately 9.16.

The x represent how much the student has earn extra to get $350 in 12 months. The student has to earn 9.16 dollars every month on top of the 20 dollars.

Answer:

5%

Step-by-step explanation:

1/20 of 100% is 5%. So that means 5%

Answer:

378 in^2

Step-by-step explanation:

This is the sum of the area of the 6 rectangles

That is:

8*15 + 3*15 + 3*8 + 8*15 + 3*8 + 3*15

= 378 in^2

Answer: (3)

Step-by-step explanation:

Angles 1 and 4 are supplementary, and their measures thus add to 180 degrees.

Answer:

Step-by-step explanation:

m∠2 + m∠3 = 180°

Answer:

8 pi cm

Step-by-step explanation:

90 degrees is 1/4 of the entire circle (360 degrees)

 2 pi * 4 = 8 pi  cm

Answer:

The volume of the cylinder is greater than the volume of the prism.

Step-by-step explanation:

The Volume of a cylinder is given as:

= πr²h

Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:

= πr²h
=3.14 × 3² × 12

=339.12

The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:

= Length × Width × Height

Based on the calculation, the volume of the cylinder is greater than the volume of the prism.

Answer:

B: The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation:

In order to find the volume of the cylinder, we would use to formula [tex]\pi r^{2} h[/tex]. Substitute the given measures of the cylinder to get [tex]\pi[/tex]·3²·12. The simplified and calculated form would be 108 units cubed.

Now, we find the volume of the rectangular prism, which is [tex]l[/tex]·[tex]w[/tex]·[tex]h[/tex], or 16*16*9. This means the volume is 2304 units cubed.

Therefore, since 2304 un³>108 un³, answer choice b would be correct.

Answer:

m = -1

the line goes down in a straight line from the starting point

Answer: -1

Step-by-step explanation:

Slope formula y2-y1/x2-x1. -9-(-4)/3-(-2). -5/5= -1

Step-by-step explanation:

what is the problem for you ?

to solve an equation ?

or to deal with fractions and how to relate them to whole numbers (e.g. how to convert whole numbers into fractions) ?

if you need any additional information, please let me know.

I am just solving the equation now :

2/3 + x = 4

x = 4 - 2/3 = 12/3 - 2/3 = 10/3 = 3 1/3

Answer:

Step-by-step explanation:

x = 4 - 2/3

x = 3 3/3 - 2/3

x = 3 1/3

Answer:

I don't have a good knowledge of means but I know it isn't B or D.

Step-by-step explanation:

Answer:

4+n=12

Step-by-step explanation

yesterday= 4

today= unknown

4+n=12

Answer:

The equation that you would use would be, 4+n=12

`

Step-by-step explanation:

I hope this helps you :)

Pls mark brainliest :P

`

`

`

W/ <3...

Tori

Answer:

C is your correct answer : y = 2x + 3

Step-by-step explanation:

Your answer choices are all in slope-intercept form.

Slope-Intercept Form: y=mx+b

First, you need to find the y-intercept.

Coordinate Point: (0,3) is your y-intercept.

Now, you need to find the slope.

This slope is positive.

There's another point (1,5).

This point is important because you can start at your y-intercept and rise and run to get to (1,5).

You have to rise up 2 and go over to the right 1.

2/1 is your slope but simplified is 2.

Your formula: y = 2x + 3

C is your correct answer

Answer:

I believe the answer would be B) x^2 - 16x + 64 = -21 + 64

Step-by-step explanation:

When you're completing the square you take the "middle" term (in this case it's -16) and you divide it by two, then square it. By doing that for this problem you get 64 (16/2 = 8 - 8^2 = 64; signs don't matter in this case because you multiply 2 negatives). You have to add that 64 to BOTH sides so that the equation evens out.

Ultimately, with it factored, the answer will be (x-8)^2

Answer:
The answer is C. [tex]y = \frac{1}{12}(x+2)^{2}+2[/tex]

Answer:

General form of an exponential equation: [tex]y=ab^x[/tex]

where:

Let x = years

Let y = investment value

Use (2, 692) and (4, 952) to find a and b of the exponential equation:

[tex]ab^2=692[/tex]

[tex]ab^4=952[/tex]

[tex]\implies \dfrac{ab^4}{ab^2}=\dfrac{952}{692}[/tex]

[tex]\implies b^2=\dfrac{238}{173}[/tex]

[tex]\implies b=\sqrt{\dfrac{238}{173}}=1.17\:\textsf{(nearest hundredth)}[/tex]

[tex]\implies ab^2=a\left(\dfrac{238}{173}\right)=692[/tex]

[tex]\implies a=\left(\dfrac{59858}{119}\right)=503.01\:\textsf{(nearest hundredth)}[/tex]

Therefore, the exponential equation is:

[tex]y=503.01(1.17)^x[/tex]

18 years after the initial investment is when [tex]x=18[/tex]:

[tex]\implies 503.01(1.17)^{18}=8490[/tex]

Therefore, the amount closest to the value of the investment 18 years after the initial investment is $8490

(If you use the exact values for a and b rather than the rounded values, the amount is $8879)

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

Answer:

the first one will be B) x^2-4x+4

the sencond one will be A) x^2-16

the third one will be C) x^2+x-2

the fourth one will be D) -2x^3+4x^2+16x

Step-by-step explanation:

hope this helps now i gotta really go :)

Answer:

Go right 4 blocks. Then go down 3 blocks.

Step-by-step explanation:

From Brianna's house at (1,6), move 4 blocks to the right and you will be at (5,6). Next, move 3 blocks down and you will be at Jordan's house at (5,3).

Answer:

16.4 feet

Step-by-step explanation:

Area of a rectangle: length * width = area

12*w=196.8

w=196.8/12

w=16.4 feet

          1134.11m²

______----------________

Answer:

1134.11

Step-by-step explanation:

The problem with this equation is pi is an angle in radians. It has a never ending number of digits.

The area of a circle is basically a square r x r rotated through 180 degrees around the squares centre.

So the area can be written as 180 x 19 x 19 = 64980 degrees meters square.

This is a finite number. The area of a circle does not change. Pi r squared has an ever increasing result.

pi is a conversion factor between the finite areas of circles and the area in square units which can never have a result that is finite as squares cannot fill a circle, no matter how small.

To convert the round finite area to m squared you divide the area by 180/pi = 57.295779513 degrees per radian.

Area in degrees meters Squared 64980/ 57.295779513.

= 1134.1149479 radian meters squared.

Answer: 9, 9x, 18x

Step-by-step explanation:

Hope it helps :D

The value of the quadratic equation x has a value of 0.8968 and a negative value of 2.23.

It is a method for dividing a polynomial into parts, each of which will be multiplied. At this time, the polynomial's value will be zero.

The equation for the expression is given below.

3x² + 4x = 6

3x² + 4x - 6 = 0

we know that the formula

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Then we have

[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

A

Step-by-step explanation:

A is the only one with (4,0) (1,-1) (0,0) and (-2,5)

Answer:

Step-by-step explanation:

multiply the equation base times height times width and you get 12000 for height and base you get 5600 and then for the heith you get 567

Using proportions, it is found that she will need 12 pints of ice cream.

A proportion is a fraction of a total amount.

Each cup is equivalent to 0.5 pints. There are 24 students, and each student needs a cup, hence 24 cups are needed.

In pints, the equivalent amount is given by:

P = 24 x 0.5 = 12.

She will need 12 pints of ice cream.

More can be learned about proportions at https://brainly.com/question/24372153

[tex]\csc(90^{\circ}-\theta)\\\\=\sec \theta \\\\=\sqrt{10}[/tex]