14. The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole.

Answer:

y=1/2x-8

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-4))/(6-8)

m=(-5+4)/-2

m=-1/-2

m=1/2

y-y1=m(x-x1)

y-(-4)=1/2(x-8)

y+4=1/2(x-8)

y=1/2x-8/2-4

y=1/2x-4-4

y=1/2x-8

Answer:

[tex]18[/tex]

Step-by-step explanation:

Step 1:  Input the values and solve

[tex]b - 7a[/tex]

[tex](4) - 7(-2)[/tex]

[tex]4 - (-14)[/tex]

[tex]4 + 14[/tex]

[tex]18[/tex]

Answer:  [tex]18[/tex]

Answer:

(2, 1)

Step-by-step explanation:

-4 + 6 = 2

-1 + 2 = 1

X and Y become positive by going up and right

Answer:

(2, 1 )

Step-by-step explanation:

A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.

A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.

(- 4, - 1 ) → (- 4 + 6, - 1 + 2 ) → (2, 1 )

Answer:

416

Step-by-step explanation:

you take 520 times .80

Answer:

answer is in an image here

imageshare.best/image.php?id=JS9NDO

Explanation:

copy n paste in browser

not a bot btw

I think the y=ab^x goes with the first graph and the y=logbc goes with the second

Step-by-step explanation:

pictures

Answer:

It should be the last one, 10 - 4c.

Step-by-step explanation:

Because base on the problem it should be a subtraction problem. "C" is the pieces of candy so it would be 4c. Your finding the amount left, so 10 - 4c is the answer.

Answer: 10 - 4c

6/12, 1/2, 10/20, 5/10,

Answer:

Step-by-step explanation:

Answer:

30 to 75, 30/75, 30:75

Step-by-step explanation:

Please find the attached photograph for their positions.

Hope you could get an idea from here

Doubt clarification - use comment section.

Answer: x = 2, explanation below

area of rectangles and squares is l * h or h * l (h is height and l is length)

length of left rectangle/square is

4*(6x+6) and for the right quadrilateral, it is 4x*9

4x*9 is 36x

and we use the distributive property for 4*(6x+6)

4*6x+4*6

4*6x = 24x

4*6 = 24

24x+24

They have equal areas, so we can make an equation making their areas equal.

36x = 24x+24

Subtract 24x from both sides

12x=24

divide 12 by both sides

x = 2

Step-by-step explanation:

The length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet

Given:

Kit

Plane = 27 feet

wingspan = 18 feet

Model:

Plane = 13.5 inches

Wingspan = x feet

convert 13.5 inches to feet

1 feet = 12 inches

13.5 inches = 1.125 feet

So,

equate Ratio of plane to wingspan

27 : 18 = 1.125 : x

27/18 = 1.125 / x

cross product

27 × x = 18 × 1.125

27x = 20.25

x = 20.25/27

x = 0.75 feet

Therefore, the length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet

Learn more about ratio:

https://brainly.com/question/1781657

Answer:

485y to the power 2 + 5x to the power 2 - 6xy to the power 3 + 7

Step-by-step explanation:

I hope this helps. Also, there's this free app called Quick Math. If you need the steps, you should check there first, and maybe you should try that for other math problems as well.

Good luck and have a great rest of your day.

The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.

Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0and a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0

According to the question

The equation : [tex]2y = - 3x - 6[/tex]

The x intercept of the equation  :

as a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0 .

Therefore,

at y= 0

[tex]0 = -3x -6[/tex]

[tex]6 = -3x[/tex]

[tex]x = -2[/tex]

So,

x intercept of the equation is (-2,0)

The y intercept of the equation  :

As a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Therefore

at x= 0

[tex]2y = -3*0 - 6[/tex]

[tex]2y = -6 \\ y = -3[/tex]

y intercept of the equation is (0,-3)

Now, The slope intercept form of the equation [tex]2y = - 3x - 6[/tex]

As slope intercept form is given as

y = mx + b

We will convert equation to standard slope intercept form

i.e

Dividing equation by 2 both side

[tex]y = -1.5x -3[/tex]

So,

m = -1.5  

Hence, The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .

To know more about slope intercept form and intercepts here:

https://brainly.com/question/9682526

#SPJ2

Answer:

25922.963

Step-by-step explanation:

the square root of 42 is 6.48074069841

4000*6.48074069841 is 25922.9627936

=========================================================

Explanation:

Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.

Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.

We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.

Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle

(angleABF) + (angleFBD) + (angleDBC) = 180

(63) + (63) + (x) = 180

x+126 = 180

x = 180-126

x = 54

Angle DBC is 54 degrees.

-----------------------

The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.

B+C+D = 180

54 + 85 + D = 180

139 + D = 180

D = 180-139

D = 41

Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.

Therefore, angle E is 41 degrees.

The diagram is below showing all of the angles we found.

Answer:

2x²=6x-5= x=3+i/2

-x²-10x=34= x = -(5+3i)

Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers

Answer:

5 by 12 m

Step-by-step explanation:

The area for rectangle is LxW

The original area is 3*10, or 30 meters.

When both dimensions are increased, now the area is 60.

We can now inch up slowly to see what works:

3.5 and 10.5=36.75 X

4 and 11=40 X

5 and 12=60 YES!

The new dimensions of the garden are 5 m by 12 m, increased by 2, and the new area is 60 meters^2.

Answer:

Angle 8

Step-by-step explanation:

Refer to the attached picture

Answer:

y=-2x+4

Step-by-step explanation:

if y is 4..it means x intercept is 0

gradient is -2

and we know gradient is the change in y /change in X

so: we let the second intercepts to be (x,y)

so y-4/x-0=-2

multiply by x-0 both sides then collect like terms together

it will be y= -2x+4

Answer:

Step-by-step explanation:

If I am not mistaken the equation is [tex]S(t) = 2 + 31t - 16t^{2}[/tex]

Then in that case V(t) = S'(t) = 31 - 32t

V(t)=0 gives the time when the stone hits the ground.

31 - 32t = 0

32t = 31

t = 31/32 = 0.96875s

Answer:

Step-by-step explanation:

Yes, it's reasonable.

What you are doing is solving the question by rounding. You come up with an answer. Suppose you loose the decimal somewhere and you get 0.36? Is that reasonable? Do you just write the answer in the provided blank and move on. What now?

You get it wrong?!!

But your estimate should be about 9/3 = 3. Now you look at your calculator with great misgivings, because it made a mistake. Did it or did you? Well ultimately you did, but you have to blame something. So the calculator takes the heat.

Who  knows? Maybe the decimal doesn't work. It's stuck or something. In any event you should be aware that there's no way the answer could be 0.36 when you estimate it to be 3.

Answer: B. y= -2x+28

Steps:

In the equation, take,"y" as result of the distance of the motorboat from the shore.

Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4

After doing all the equations i m pretty sure you will that B. y=  -2x + 28

y= -2 * 12 + 28

y= -24+28

y= 4

Answer:

The answer is B

Step-by-step explanation:

Answer: $255.58

Step-by-step explanation:

$310.30*0.07= $21.721

$310.30-$21.72= $255.579

Round

$255.579 --> $255.58

Answer:

f = -9

Step-by-step explanation:

3(x)

3(-9)

-27

Answer:

what about the integrated project please

Find the amount of the markup by subtracting:

76-39 = $37

Divide the amount of the mark up by the purchase price:

37/39 = 0.948 x 100 = 94.8%

Answer: 94.8 %. Round the answer as needed.

Answer:

25 miles/hour

Step-by-step explanation:

If you were to divide 125 by 5, you would get 25 miles per each hour as your answer. Brainless if I am correct.

Wait this might be a trick. If Melanie ran ONCE A DAY how many days did she run. She trained for the week. 7 days in a week. There is a good chance I am wrong but I think 7 days.

Check the picture below.