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bulgar [2K]
4 years ago
15

How can x2 = 2x + 4 be set up as a system of equations?

Mathematics
2 answers:
melomori [17]4 years ago
6 0

Answer:

Thus, our system of equation becomes,

x^2-y=0  and  y-2x=4

Step-by-step explanation:

Given equation : x^2=2x+4

We have to set up the given equation as a system of equations.

We can set an equation as a system of equations by placing its both side equal to a single variable term.

Consider the given equation x^2=2x+4.

since, the  given equation x^2=2x+4 has two sides right side and left side , let put them equal to a same variable y ,

then we get,

x^2=y and 2x+4=y

Thus, our system of equation becomes,

x^2-y=0  and  y-2x=4

mezya [45]4 years ago
3 0
\bf x^2=2x+4\implies 
\begin{cases}
y=x^2
\\\\
y=2x+4
\end{cases}\implies  y=y
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Use the two point (0,9) and (8,5) to write the equation in slope-intercept form.
Monica [59]

Answer:

y = -1/2x + 9

Step-by-step explanation:

(0, 9) and (8, 5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(5 - 9) / (8 - 0)

Simplify the parentheses.

= (-4) / (8)

Simplify the fraction.

-4/8

= -1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.

5 = -1/2(8) + b

To find b, multiply the slope and the input of x(8)

5 = -4 + b

Now, add 4 to both sides to isolate b.

9 = b

Plug this into your standard equation.

y = -1/2x + 9

This is your equation.

Check this by plugging in the other point you have not checked yet (0, 9).

y = -1/2x + 9

9 = -1/2(0) + 9

9 = 0 + 9

9 = 9

Your equation is correct.

Hope this helps!

6 0
3 years ago
3.0
Alex73 [517]

Answer:

Solution given:

AD=1.8

AC=3.0

we have

∆ADC is a right angled triangle

Cos A=b/h

<A=cos-¹ (1.8/3)

<A=53.13°

again

∆ABC is a right angled triangle

Tan A=p/b=BC/AC

Tan 53.13×3=BC

BC=4

NOW

Area of triangle =½(AC*BC)=½(4×3)=6 <u>square </u><u>units</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>area</u><u>.</u>

3 0
3 years ago
The blue portion of the American flag is known as the union. Using the measurements in the diagram, determine if the rectangle e
Nonamiya [84]

They are not similar.

The dimensions of the Union are 3'x5'.

The dimensions of the overall flag are 9-1/2'x5'.

Hope this helps ^^

5 0
3 years ago
Final height of the rectangle picture of pharmacy area is 391 ft2.
ozzi

Answer:The height of the pharmacy area is 17 feet

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The pharmacy area is rectangular. The height of the pharmacy area becomes the width of the rectangle.

The area of the pharmacy area is given as 391 ft^2

The length of the pharmacy area is given 23 feet

Therefore

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6 0
3 years ago
What is 30000 divided by 40
Artyom0805 [142]
The answer to that is 750
7 0
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