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NeTakaya
3 years ago
10

System of equations, special case infinitely many solutions?????

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0

One possible system is

1x + 3y = 4

2x + 6y = 8

Note how 2 is twice as large as 1, 6 is twice as large as 3, and 8 is twice as large as 4.

In other words, the second equation is the result of multiplying both sides of the first equation by 2.

1x+3y = 4

2*(1x+3y) = 2*4

2x+6y = 8

Effectively the two equations in bold are the same which produces the same line. The two lines overlap perfectly to intersect infinitely many times. An intersection is a solution.

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What is the area of this face?
andrey2020 [161]

200 Ft

Step-by-step explanation:

you should know this!

4 0
3 years ago
I need help with this question in my math homework
Yakvenalex [24]

Answer:

  • ∠CDE ↔ 50°
  • ∠FEG ↔ 75°
  • ∠ACB ↔ 55°

Step-by-step explanation:

To solve angle problems like this, you make use of three relations:

  • linear angles have a sum of 180°
  • angles in a triangle have a sum of 180°
  • vertical angles have the same measure

The attached diagram shows the measures of all of the angles of interest in the figure. The ones shown in blue are the ones that have the measures and names on the list of answer choices.

__

A good place to start is with the linear angle pair at A. Since the sum of the two angles is 180°, the angle at A that is inside the triangle will be ...

  180° -130° = 50°

Then the missing angle in that triangle at C will have the measure that makes the sum of triangle angles be 180°:

  ∠ACB = 180° -50° -75° = 55° . . . . . this is one of the angles on your list

Similarly, the angle at E inside triangle FEG will have a measure that makes those angles have a sum of 180°:

  ∠FEG = 180° -60° -45° = 75° . . . . . this is one of the angles on your list

__

The two angles whose measures we just found are vertical angles with the base angles in triangle CDE, so that triangle's angle D will have a measure that makes the total be 180°.

  ∠CDE = 180° -55° -75° = 50° . . . . . this is one of the angles on your list

4 0
3 years ago
What is the value of the 4 in the number,5,679.04
Gala2k [10]
4 hundredths ok hi done finished easy
3 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu.
Hatshy [7]

Answer:

the difference in latitude is 91.22°

the difference in longitude is 147.95°

Step-by-step explanation:

For Liverpool, London. The latitude is 53.41°, longitude is -2.99°

For  Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°

The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).

The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)

the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°

4 0
3 years ago
PLS HELP! If f(x) = 3x2 – 2x – 11, what is the value of f(-3)?
natita [175]

9514 1404 393

Answer:

  22

Step-by-step explanation:

Put -3 where x is and do the arithmetic.

  f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11

  f(-3) = 22

_____

<em>Additional comment</em>

Sometimes evaluation is easier if you rewrite the polynomial in Horner form:

  f(x) = (3x -2)x -11

  f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22

8 0
3 years ago
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