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lakkis [162]
3 years ago
5

Which system of equations has exactly one solution?

Mathematics
1 answer:
tester [92]3 years ago
8 0

Answer: Most of them cross each other once so I am not sure which one is the answer (sorry)

Step-by-step explanation:

x+y=7 is parallel to 3x+3y=3 and -6x-6y=3

3x+y=-1 and 6x+2y=-2 have infinite solutions togther (both are on top of each other)

The rest of the ways cross each other once

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The difference of two numbers is equal to 0.6. Their quotient is also 0.6. What are the numbers? There are 4
Makovka662 [10]
Let the two numbers be represented by x and y. The problem statement gives rise to two sets of equations.
  x - y = 0.6
  y/x = 0.6 . . . . . . . assuming x is the larger of the two numbers
or
  x/y = 0.6 . . . . . . . assuming y has the larger magnitude

The solution of the first pair of equations is
  (x, y) = (1.5, 0.9)

The solution of the first and last equations is
  (x, y) = (-0.9, -1.5)

The pairs of numbers could be {0.9, 1.5} or {-1.5, -0.9}.
8 0
3 years ago
A bag contains 77 apples and 55 oranges. if you select 66 pieces of fruit without​ looking, how many ways can you get 66 ​apples
yuradex [85]
77C55*55 = (77! X 66!/ 2) = 139,755

6 0
3 years ago
A CD case measures four-fifths inches by five and three-fifths inches. What is the decimal form of the measurements
Westkost [7]
4.5 and 3.5 it is the same but 4 and 3 are different you get it ?
8 0
3 years ago
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Find the diagonal of a square whose sides measure 3 square root 2
mrs_skeptik [129]

The Pythagorean theorem can be used to find the length of the diagonal (d) of a square.

d² = (3√2)² + (3√2)² = 18 + 18 = 36

d = √36 = 6

The measure of the diagonal is 6.

8 0
3 years ago
What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?
Brums [2.3K]

Answer:

The area of a rectangle is 42 units ².

Step-by-step explanation:

As the diagram is given below.

Distance Formula

Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).

Take A (4, 3) to B(11, 3)

AB = \sqrt{(11-4)^{2}+(3-3)^{2}}

AB = \sqrt{(7)^{2}+(0)^{2}}

AB = \sqrt{49}

\sqrt{49} =7

AB = 7 units

As take B(11, 3) to C (11, 9).

BC = \sqrt{(11-11)^{2}+(9-3)^{2}}

BC = \sqrt{(0)^{2}+(6)^{2}}

BC = \sqrt{36}

\sqrt{36} =6

BC = 6 units

As take C (11, 9) toD (4, 9).

CD = \sqrt{(4-11)^{2}+(9- 9)^{2}}

CD = \sqrt{(7)^{2}+(0)^{2}}

CD = \sqrt{49}

\sqrt{49} =7

CD =  7 units

As take  D (4, 9) to  A (4, 3)

DA = \sqrt{(4-4)^{2}+(3-9)^{2}}

DA = \sqrt{(0)^{2}+(-6)^{2}}

DA = \sqrt{36}

\sqrt{36} =6

DA =  6 units

Thus

AB = DC= 7 units

AD = BC = 6 units

Formula

Area of rectangle = Length × Breadth

Length = 7 units

Breadth = 6 units

Put value  in the above

Area of rectangle =  7 × 6  

                             = 42 units ²

Therefore the area of a rectangle is 42 units ².

6 0
3 years ago
Read 2 more answers
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