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3 years ago

What is the solution to the system of equations? y = x + 1 y = x - 1

Mathematics

1 answer:

kaheart [24]3 years ago

3 0

Answer:

No solution I believe

Step-by-step explanation:

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Brady made a scale drawing of a rectangular swimming pool on a coordinate grid. The points (-20, 25), (30, 25), (30, -10) and (-

djverab [1.8K]

Answer:

Length = 50 units

width = 35 units

Step-by-step explanation:

Let A, B, C and D be the corner of the pools.

Given:

The points of the corners are.

$A(x_{1}, y_{1}})=(-20, 25)$

$B(x_{2}, y_{2}})=(30, 25)$

$C(x_{3}, y_{3}})=(30, -10)$

$D(x_{4}, y_{4}})=(-20, -10)$

We need to find the dimension of the pools.

Solution:

Using distance formula of the two points.

$d(A,B)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ ----------(1)

For point AB

Substitute points A(30, 25) and B(30, 25) in above equation.

$AB=\sqrt{(30-(-20))^{2}+(25-25)^{2}}$

$AB=\sqrt{(30+20)^{2}}$

$AB=\sqrt{(50)^{2}$

AB = 50 units

Similarly for point BC

Substitute points B(-20, 25) and C(30, -10) in equation 1.

$d(B,C)=\sqrt{(x_{3}-x_{2})^{2}+(y_{3}-y_{2})^{2}}$

$BC=\sqrt{(30-30)^{2}+((-10)-25)^{2}}$

$BC=\sqrt{(-35)^{2}}$

BC = 35 units

Similarly for point DC

Substitute points D(-20, -10) and C(30, -10) in equation 1.

$d(D,C)=\sqrt{(x_{3}-x_{4})^{2}+(y_{3}-y_{4})^{2}}$

$DC=\sqrt{(30-(-20))^{2}+(-10-(-10))^{2}}$

$DC=\sqrt{(30+20)^{2}}$

$DC=\sqrt{(50)^{2}}$

DC = 50 units

Similarly for segment AD

Substitute points A(-20, 25) and D(-20, -10) in equation 1.

$d(A,D)=\sqrt{(x_{4}-x_{1})^{2}+(y_{4}-y_{1})^{2}}$

$AD=\sqrt{(-20-(-20))^{2}+(-10-25)^{2}}$

$AD=\sqrt{(-20+20)^{2}+(-35)^{2}}$

$AD=\sqrt{(-35)^{2}}$

AD = 35 units

Therefore, the dimension of the rectangular swimming pool are.

Length = 50 units

width = 35 units

7 0

3 years ago

A bag contains 7 blue marbles and 7 green marbles. Which shows the likelihood of choosing a blue marble?

satela [25.4K]

Not 100 % but I would think as likely as not because you have the same amount of both. 1/2 the chance

8 0

3 years ago

Read 2 more answers

Idk what this problem is

MaRussiya [10]

7 multiplied by 1/4.

3 0

3 years ago

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Solve 5x + 3x - 6 = 42

xxMikexx [17]

Answer:

The answer to your question is x = 6

Step-by-step explanation:

Equation 5x + 3x - 6 = 42

Process

Step 1. Add 6 units in both sides

5x + 3x - 6 + 6 = 42 + 6

Step 2. Simplify

5x + 3x = 48

Step 3. Simplify like terms

8x = 48

Step 4. Divide by 8 both sides

8x/8 = 48/8

Step 5. Simplify

x = 6

8 0

3 years ago

A store has 7 red shirts, 15 black shirts, 13

AleksAgata [21]

Answer:First you have to add all of the shirts together, which gives you: 40

Since 15 of those are black, then you need to put those 15 over the total number of 40, making it 15/40.

Then you must simplify by the highest number that will go into both, and since that number is 5, it will then go into 15 three times and it will go into 40 eight times.

That leaves you with the answer of: 3/8

6 0

3 years ago