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3 years ago

How many solutions to y=2x-3 y=-x+3

Mathematics

2 answers:

Ivan3 years ago

8 0

Answer:

y = 1

Step-by-step explanation:

I dunno what you need but that's the answer to y...

frosja888 [35]3 years ago

6 0

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1

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A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Gnesinka [82]

Answer:

Step-by-step explanation:

If a square has 4 sides and the perimeter is 12x + 52, you have to divide 12x + 52 by 4 to get the length of a single side

12x / 4 = 3x

52 / 4 = 13

3x + 13

8 0

3 years ago

F(1) =-3 f(1)=−3 f(n)=2⋅f(n−1)+1 f(2)=

bogdanovich [222]

Answer:

Step-by-step explanation:

f(1)=−3

f(n)=2⋅f(n−1)+1

f(2)= 2×1(2-1)+1

= 2×1+1

= 2+1

= 3

7 0

2 years ago

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Jace is making a water play table from a triangular table top. He sketched a dotted line to show where he wants to add a circula

Svet_ta [14]

Answer:

B-He should bisect each of the angles at the vertices of the triangular table top.

Step-by-step explanation:

6 0

2 years ago

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The diagram shows a solid shape.

Stolb23 [73]

Answer:

$756\pi$

Solution,

Volume of cone=270 pi cm^3

$\frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm$

Volume of semisphere:

$\frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi$

Total:

$270\pi + 486\pi \\ = 756\pi$

hope this helps...

Good luck on your assignment..

6 0

2 years ago

Find the vertex and zeros of the following function f(x)=x^2-6x-7

elena-s [515]

Try this solution:

Step-by-step explanation:

1) for zeros of the function: x²-6x-7=0; ⇒ x₁=7; x₂= -1.

2) for the vertex of the function: x₀= -b/2a, where a;b;c - numbers from ax²+bx+c=0 (from x²-6x-7=0).

x₀=6/2=3;

y₀= (4ac-b²)/4a; ⇒ y₀= -16.

It means, the coordinates of the vertex are (3;-16).

6 0

2 years ago