A bridge being designed will cross the river at a right angle. The equation of the left bank of the river is j = 2x+8. The center of the bridge will pass through (0,2). What is the equation of the line representing the bridge?​

Answers

Answer 1
Answer:   y = (-1/2)x + 2

This is the same as y = -0.5x+2

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

Explanation:

Refer to the diagram below.

The blue line is the graph of y = 2x+8, which is the left bank of the river.

For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.

The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.

Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.

So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.

This is the same as y = -0.5x + 2 since -1/2 = -0.5

A Bridge Being Designed Will Cross The River At A Right Angle. The Equation Of The Left Bank Of The River

Related Questions

10. What is 4/5 x 3/7?

Answers

Answer:

12/35

Step-by-step explanation:

you have to just multiply across

[tex] \frac{4}{5} \times \frac{3}{7} = \frac{12}{35} [/tex]

The answer as a fraction is 12/35

The answer as a decimal is 0.343

17) HELP I have the answer I just need to show the work

Which trig ratio or formula should you use to find “c”?

Answer: B

Don’t give me the answer I already know it just show the work pls

Answers

Here

cos25°=BC/AB=8/c

c=8/cos25°

so cos function is helpful here

really a dum.beannie

Answer:

b) cos25

c = 7.248 or 7.2

Step-by-step explanation:

Cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]

Cos 25 = [tex]\frac{8}{c}[/tex]

Cos of 25 is 0.906

0.906 = [tex]\frac{8}{c}[/tex]

Multiply 8 on both sides:

0.906 x 8 = [tex]\frac{8}{c}[/tex] x 8

7.248 = c

How many triangles do you see?

Answers

Answer:

bajjaoasawwwssahwiwoa

16??

One of the legs of a right triangle measures 3 cm and it's hypotenuse measure 5 cm find the measure of the other leg if necessary round to the nearest tenth

Answers

Answer: c=4

Step-by-step explanation:

c^2+3^2=5^2

c^2+9=25

c^2=16

c=4

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

[tex]H^2=B^2+P^2[/tex]

Here given that,

One of the legs of a right triangle measures [tex]3[/tex] cm and it's hypotenuse measure [tex]5[/tex] cm

Let the base of triangle is [tex]x[/tex].

So,

[tex]H^2=B^2+P^2\\\\(5)^2=x^2+(3)^2\\\\25=x^2+9\\\\25-9=x^2\\\\16=x^2\\\\x=4[/tex]

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

To know more about the triangle

https://brainly.com/question/14712269

#SPJ5

The perimeter of the rectangle is 40 centimeters. Find the value of x.
There is a picture of a rectangle and it has an x on the left side and a 3x on the bottom.

a. 4
b. 5
c. 8
d. 10

Answers

b is the correct answer

Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia and her sisters reading rates, in pages per hour? A B. 8 C 24 30​

Answers

Answer:

6

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

      into...

Silvia: 1 page to __ minutes

Find Unit Rate : 5/2= 2.5

Unit Rate for Silvia is  2.5

Written out : 2 pages x 2.5 = 5 minutes

Example : 1 page to 2.5  minutes

What we found : ___ pages to 60 minutes(60 divided by 2.5) is  

24 pages to 60 minutes

Silvia's sister: 3 pages to 6 minutes

     into...

Silvia's sister: 1 pages to ___ minutes

Find Unit Rate : 6/3= 2

Unit Rate for Silvia is  2

Written out : 3 pages x 2 = 6 minutes

Example : 1 page to 2  minute

What we found : ___ pages to 60 minutes(60 divide by 2) is

30 pages to 60 minutes  

Final Step : 30 - 24 = 6

HELP ASAP
The factorization of a trinomial is modeled with algebra tiles. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled negative. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 12 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative. Which trinomial is factored?
x^2 + 3x – 6
x^2 + 5x – 6
x^2 + 3x – 2
x^2 + x – 6

Answers

2rd one I could be wrong tho

Answer:

its A or the first one ;)

Step-by-step explanation:

Help pls. I will give brainliest to whom ever gets the answer correct.

In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯. What is AE?

Answers

Answer:

your answer will be 18 in

Step-by-step explanation:

I hope this helps u ^_^

have a great day

Answer:

I guess a line segment.

Step-by-step explanation:

A line segment is part of a line that is bounded by two distinct end points; line with two endpoints.

I'm not too sure though.

I need help with please and thank you can yall help me with a thing

Answers

Answer:

2 will give you the larger value of 17

Step-by-step explanation:

Help me please ........

Answers

Answer:

Step-by-step explanation:

Emily earned $45.50 for 6 hours of work. Harrison
earned $24 for 3 hours of work. Carla earned $36
for 4 hours of work. Who earned the most money
PER HOUR?
:

Answers

Emily earned more

Step-by-step explanation:

45.50 x 6= 273

last question on my test! please show some sort of work so i know its correct :) thanks! - dusty.

Answers

Answer:

this was 3 minutes ago... you still need the answer?

Step-by-step explanation:

the difference between y and 20

Answers

Answer:

y + 20

Step-by-step explanation:

The other numbers are N

N - y = 20

N = y + 20

    OR

y - N = 20

N = y - 20

Find the inverse function in slope-intercept form
f(x)=4/5x-16

Answers

Y intercept slope - 5,0
X intercept slope - 0,-4

X^2-16/x^2-3x-4 simply

Answers

Answer:

x+4/x+1

Step-by-step explanation:

hope this can help you :)

Answer:

[tex]\frac{x+4}{x+1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-16}{x^2-3x-4}[/tex] ← factor numerator/ denominator

= [tex]\frac{(x-4)(x+4)}{(x-4)(x+1)}[/tex] ← cancel the factor (x - 4) on numerator/ denominator

= [tex]\frac{x+4}{x+1}[/tex]

i need help please asap its due

Answers

Answer:

D.) $4 per min.

Step-by-step explanation:

in the first increase we go up 5 minutes and up $20

this trend stays equal just with 10 minute and $40 increases

this means that there is $20 for every 5 minutes so to find the unit rate we divide $20 by 5 which gives us 4

hope this helps chu babe <3

help pls!!! im not sure on this

Answers

Answer:

10

Step-by-step explanation:

The answer is x=10 because you subtract both 80 and 40 from 180 using the triangle sum theorem with than remaining you should have 60. 60= 6x you divide that answer to get 10

Find the length of a side of a square if its area is:
0.49 square units

Answers

Answer:

Side = 0.7 units

Step-by-step explanation:

Area of a square = 0.49 sq. units

Side² = 0.49

side² = [tex]\frac{49}{100}\\\\[/tex]

[tex]side = \sqrt{\frac{49}{100}}=\sqrt{\frac{7*7}{10*10}}\\\\sides=\frac{7}{10}=0.7[/tex]

free feet pic clickbait if u answer w full explimation

Answers

yo yoooo. no need for the free pic

A scatter plot is shown:
what type of association does the graph show between x and y? (4 points)

Linear positive association

Nonlinear positive association

Linear negative association

Nonlinear negative association

Answers

Answer:

linear positive

Step-by-step explanation:

it's prolly too late but i need pts and someone to answer my ? so yea

Answer:

Step-by-step explanation:

Linear Postive

can you help me please​

Answers

Answer:

the first one

Step-by-step explanation:

because you would use Pythagorean theorem to find a missing side

the equation would be a^2+b^2= C^2

and ya

Evaluate the expression for the value given.
6a
4a; when a = 2

Answers

Answer:

20

Step-by-step explanation:

6(a)+4(a).

6(2)+4(2)=12+8=20

final answer is 20

the answers are
6a= 12
4a= 8

4. On a 3-hour trip, a car travels 156 miles.
What is the average speed of the car on this
trip?

Answers

Answer:

v = 52 mph

Step-by-step explanation:

Given that,

The distance travelled by the car, d = 156 miles

Time, t = 3 hour

We need to find the average speed of the car. The formula for the average speed is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{156}{3}\\\\v=52\ mph[/tex]

So, the average speed of the car is equal to 52 mph.

answer for a brainlist

Answers

Answer:

2) Gain

3) 0.39 (rounded)

Step-by-step explanation:

2)

12.16/64= 0.19

21/100= .21

12.24/72= 0.17

3)

9.25/24= .3854

if they tell you to round it, its .39, if not its .38

plz answer this question​

Answers

r=9.776 or 9.78 (second if needing to round)
c=123.307 or 123.31 (second if needing to round)

Find the value of x.

Answers

X=4 (Option B)
The “c” is equal to 4sq.root2. In the rules and the diagram attached, the “c” side has the root 2 attached to the a, so the answer is 4.

PLEASE HELP!! THIS IS REALLY SERIOUS!!

Answers

Answer:

A. y= - 1/2x + 20

B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)

C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline

hope this helps ;)

Someone help and plz make sure the answer is correct plz :)

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (16, 17) and (x₂, y₂ ) = (15, 16)

m = [tex]\frac{16-17}{15-16}[/tex] = [tex]\frac{-1}{-1}[/tex] = 1

Mary prepared sandwiches for the seminar participants. She bought 5 loaves of bread at 22.50 pesos each, 2 bottles of mayonnaise at 55.50 a bottle and 1.5 kilograms of ham at 240 pesos a kilogram. If she gave the saleslady 1 000, pesos, How much change did she receive?

1. What is asked?
2. What are given?
3. What is/are the hidden question?
4. What operations will you use to solve the problem?
5. What is number sentence?
6. What is the answer?

pasagot po tnx
I will mark you as brainliest if your answer is good :3​

Answers

Answer:

416.50 pesos

Step-by-step explanation:

Given

Represent the bread with b.

Mayonnaise with m

Ham with h

[tex]Amount\ Paid = 1000[/tex]

Required

Determine the change

From the question: a loaf costs 22.50

This is represented as:

[tex]b = 22.50[/tex]

5 loaves will be:

[tex]5*b = 22.50*5[/tex]

[tex]5b = 112.50[/tex]

A bottle of Mayonnaise costs 55.50

This is represented as:

[tex]m = 55.50[/tex]

2 bottles will be:

[tex]2*m = 55.50*2[/tex]

[tex]2m = 111[/tex]

Lastly,

1kg of ham costs 240

This is represented as:

[tex]h =240[/tex]

1.5kg will be:

[tex]1.5*h =240*1.5[/tex]

[tex]1.5h =360[/tex]

The cost of the items is:

[tex]Costs = 5b + 2m + 1.5h[/tex]

This gives:

[tex]Costs = 112.50 + 111 + 360[/tex]

[tex]Costs =583.50[/tex]

Her change is calculated as:

[tex]Change = Amount\ Paid- Cost[/tex]

[tex]Change = 1000 - 583.50[/tex]

[tex]Change = 416.50[/tex]

x + 2/3 = -4 one step equation

Answers

Answer:

-4.666666667

Step-by-step explanation:

x + 2/3 = -4

x = -4 - 2/3

x = -4.666666667

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