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yaroslaw [1]
3 years ago
10

3. Write an equation of a line that is perpendicular to the line x – 2y = 8.

Mathematics
1 answer:
xenn [34]3 years ago
7 0

Answer:

y=0.5x+40

Step-by-step explanation:

Copy the  equation.

x-2y=8

Subtract x from both sides.

-2y=-x-8

Divide both sides by -2.

y=0.5x+4

Now we know the slope is 0.5.

Any line with a slope of 0.5 will be perpendiculr to the original line.

One that you can use is y=0.5x+40.

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Question 5
navik [9.2K]

Answer:

A. Similar using SAS; ∆ABC ~ ∆DFE

Step-by-step explanation:

m<B of ∆ABC = m<F of ∆DFE

AB corresponds to DF

AB/DF = 12/8 = 3/2

BC corresponds to FE

BC/FE = 24/16 = 3/2

Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.

By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE

7 0
3 years ago
A circuit has a current of 1.2 a. if the voltage decreases to one-third of its original amount while the resistance remains cons
Alexeev081 [22]

Given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A

<h3>What is Ohm's Law?</h3>

Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.

It is expressed as;

V = IR

Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.

Given that;

Initially, A circuit has a current I = 1.2A

V = IR

R = V/I

R = V/1.2A ...... let this be equation 1

Next, voltage decreases to one-third of its original amount while the resistance remains constant.

Meaning Voltage = 1/3 of V = V/3

Hence;

V = IR

V/3 = IR

From equation 1 ( R = V/1.2A )

V/3 = I × V/1.2A

V/3 = IV/1.2A

We cross multiply

V1.2A = 3IV

I = V1.2A / 3V

I = 1.2A / 3

I = 0.4A

Therefore, given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A

Learn more about potential difference here: brainly.com/question/2364325

#SPJ4

8 0
2 years ago
Read 2 more answers
Solve this equation for A: A ÷ 2 = 4
Natali5045456 [20]
The answer to the equation is 8
5 0
4 years ago
Read 2 more answers
If five times a number plus two is 17 what is the number? A. 3 B. 2 C. 7 D. 5
VLD [36.1K]
5*3+2=17 it's A, 3 in this equation.
3 0
3 years ago
Read 2 more answers
Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition
Fiesta28 [93]

Answer: 2014

Step-by-step explanation:

LED: -25x + 6y = 20

CFL: 15x + 2y = 322

we need to find which year it was the same to know where LED lighting surpassed  CFL lighting

-25x + 6y = 20

15x + 2y = 322 (-3)

-25x + 6y = 20

<u>-45x - 6y = -966     </u>

-70x = -946

x = 13.51

The nearest year would be 14 which is 2014

8 0
3 years ago
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