All categories

3 years ago

Y=-3x - 4 y= 2x + 1

1 answer:

4 0

$\left \{ {{y=-3x-4} \atop {y=2x+1}} \right. \\\\ substitution\ method\\\\
-3x-4=2x+1\ \ \ | subtract\ 2x\\\\
-5x-4=1\ \ \ | add\ 4\\\\
-5x=5\ \ \ | divide\ by\ -5\\\\
x=-1\\\\
y=2x+1=2*(-1)+1=-2+1=-1\\\\
Solution:\\ \left \{ {{y=-1} \atop {x=-1}} \right.$

You might be interested in

If the rate of change is the same on the entire graph we say it has a ____ rate of change.

Vika [28.1K]

Answer:

Constant

Step-by-step explanation:

For a straight line for example,

Take any two points from the line and find the slope,

it will be the same value for any 2 points chosen

So throughout the graph, the slope/rate of change is not changing

That is

Throughout the graph rate of change/slope is constant

6 0

3 years ago

An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side

irina1246 [14]

Answer: $3\times \dfrac{P}{3}=P$

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

$\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}$

i.e.

$\Rightarrow 3\times \dfrac{P}{3}=P$

3 0

3 years ago

How are <8 and <4 related

Tasya [4]

Answer:

8 divided by 2 is 4

Step-by-step explanation:

U divide 8 from 2

3 0

3 years ago

For the figure shown x=145 and y=60 what is w

Misha Larkins [42]

There’s no figure shown.

8 0

4 years ago

What is the area of the shaded region?

Mekhanik [1.2K]

9514 1404 393

Answer:

434 -49π ≈ 280.1 cm²

Step-by-step explanation:

The shaded area is the difference between the enclosing rectangle area and the circle area.

The rectangle is 14 cm high and 31 cm wide, so has an area of ...

A = WH

A = (31 cm)(14 cm) = 434 cm²

The circle area is given by ...

A = πr²

A = π(7 cm)² = 49π cm²

The shaded area is the difference of these, so is ...

shaded area = rectangle - circle

= (434 - 49π) cm² ≈ 280.1 cm²

4 0

3 years ago