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ipn [44]
3 years ago
11

Solve the following system of equations graphically on the set of axes below.

Mathematics
1 answer:
Elza [17]3 years ago
3 0
The 1st line slopes up with y intercept = 5
the 2nd line slopes down with y intercept =-5

they intersect in quadrant II at (-6,4)

Here’s an example to go along with your problem, plug in your numbers!
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The area of a rectangle is 108 m2 and its diagonal is 15 m. Find
Andre45 [30]

Answer:

47.6m.

Step by step solution:

Perimeter of a triangle = base + 2 . length____(1)

Area of a triangle = 1/2 . base . diagonal

108 = 1/2 . base . 15

multiplying both sides by 2:

216 = 15 . base

dividing both sides by 15:

base = 14.4m

But the diagonal divides the triangle into two

right angle triangles each with the same length (hypotenuse),base and diagonal(height).

Taking one right angle triangle:

And using pythagoras theorem;

length² = base² + diagonal ²

length² = 7.2² + 15²

Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.

length² = 276.84

taking the square root of both sides:

length = 16.6m

Putting the values of the base and length into equation (1).

Perimeter of the triangle = 14.4 + 2 . 16.6

Note: We are dealing with the whole triangle

now hence the base is 14.4m.

Perimeter of the triangle = 14.4 + 33.2 = 47.6m.

6 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line having the given slope and y-intercept.
pychu [463]

Answer:

The answer to your question is   y = 4/6x - 4

Step-by-step explanation:

Data

m = 4/6

P (0, -4)

slope-intercept form = ?      y = mx + b    where m is the slope and

                                                                  b is the y-intercept

Formula

           y - y1 = m(x - x1)

Substitution

           y - (-4) = 4/6(x - 0)

Simplification

           y + 4 = 4/6x

Result

                 y = 4/6x - 4

slope = 4/6  y-intercept = -4

7 0
3 years ago
How do I work this problem out
daser333 [38]
What problem I don't see anything
5 0
3 years ago
Describe the graph that would be used to solve the equation –x2 + 4 = x + 2 using a system of equations. How will you use the gr
gayaneshka [121]

Answer:

The solutions are (-2 , 0) and (1 , 3)

Step-by-step explanation:

∵ -x² + 4 = x + 2

* y = -x² + 4 ⇒ is quadratic represented by parabola

 The parabola open downward because coefficient of x² is negative

 The x-coordinate of its vertex = -b/2a, where b is the

  coefficient of x and a is the coefficient of x²

∴ x = 0/2(-1) = 0

∴ The y-coordinate of the vertex = (0)² + 4 = 4

∴ The maximum point of the parabola is (0 , 4)

∵ -x² + 4 intersects x-axis at y = 0

∴ -x² + 4 = 0 ⇒ -x² = -4 ⇒ x² = 4

∵ x² = 4

∴ x = ±√4 = ± 2

∴ the parabola intersects x-axis at -2 , 2

∵ y = x + 2 represented by a line its slope = 1

  It intersects y-axis at 2

∵ x + 2 intersects x-axis at y = 0

∴ x + 2 = 0

∴ x = -2

∴ The parabola and the line intersect each other at

  x = -2 and y = 0

To find all the point of intersection between the 2 equations we will solve them as a system of equations

∵ y= -x² + 4  and y = x + 2

∴ -x² + 4 = x + 2

∴ -x² + 4 - x - 2 = 0

∴ -x² - x + 2 = 0 ⇒ × -1

∴ x² + x - 2 = 0 ⇒ factorize

∴ (x + 2)(x - 1) = 0

∴ x + 2 = 0 ⇒ x = -2

∴ x - 1 = 0 ⇒ x = 1

* when x = -2 ⇒ y = -2 + 2 = 0 ⇒ (-2 , 0)

* when x = 1 ⇒ y = 1 + 2 = 3 ⇒ (1 , 3)

The solution graphically

3 0
2 years ago
Read 2 more answers
EP-21 What is a requirement for fire extinguishers on a boat?
Reptile [31]

Answer:

Must be Coast Guard approved

Step-by-step explanation:

--The use Coast Guard has a fire extinguisher requirement based on the boat size.

-The fire extinguisher on board has to be approved by the US Coast guard for protection of the engine compartment.

3 0
3 years ago
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