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3 years ago

Solve this system of equations by graphing. First graph the equations, and then type the solution.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer:

The answer is below

Step-by-step explanation:

Solve this system of equations by graphing. First graph the equations, and then type the solution. y=2x+2 y=x–2

Solution:

The equation of a straight line is in the form y = mx + b, where m is the slope of the graph and b is the y intercept (value of y when x = 0). To graph the line, online geogebra graphing calculator was used for plotting the two graphs by writing the equation of the graphs.

After plotting the two graphs, the intersection of the two lines should be traced to get the x coordinate and y coordinate of the point. This point is the solution of the two graph equations, hence:

The solution = (-4, -6)

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The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates

ICE Princess25 [194]

Using the mid-point concept, it is found that the coordinates of B are (-2, -1).

The mid-point of two points is the mean of the coordinates of each point.

In this problem:

The points are: A(2, -5) and B(x,y).

The mid-point is (0, -3).

Applying the concept for both the x and y-coordinates, we have that:

$\frac{x + 2}{2} = 0$

$x + 2 = 0$

$x = -2$

$\frac{-5 + y}{2} = -3$

$-5 + y = -6$

$y = -1$

The coordinates of B are (-2, -1).

To learn more about the mid-point concept, you can take a look at brainly.com/question/10956693

5 0

2 years ago

Combine and simplify the following radical expression ASAP ASAP ASAP ASAP

Montano1993 [528]

Answer:

$\sqrt[3]{3}$

Step-by-step explanation:

Our expression is: $\frac{1}{3} \sqrt[3]{81}$ .

Let's focus on the cube root of 81 first. What's the prime factorisation of 81? It's simply: 3 * 3 * 3 * 3, or $3^3*3$ . Put this in for 81:

$\sqrt[3]{81} =\sqrt[3]{3^3*3}=\sqrt[3]{3^3} *\sqrt[3]{3}$

We know that the cube root of 3 cubed will cancel out to become 3, but the cube root of 3 cannot be further simplified, so we keep that. Our outcome is then:

$\sqrt[3]{3^3} *\sqrt[3]{3}=3\sqrt[3]{3}$

Now, let's multiply this by 1/3, as shown in the original problem:

$\frac{1}{3}* 3\sqrt[3]{3}=\sqrt[3]{3}$

Thus, the answer is $\sqrt[3]{3}$ .

~ an aesthetics lover

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3 years ago

Sin4u=2sin 2u cos 2u

yKpoI14uk [10]

Answer:

If you've learnt sin(A+B) = sinAcosB + cosAsinB,

sin(4u)

= sin(2u+2u)

= sin(2u)cos(2u) + cos(2u)sin(2u)

= 2 sin(2u) cos(2u).

4 0

2 years ago

Solve for these letters X Y Z

tester [92]

Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360

7 0

3 years ago

X+103=180 Enter the measurement of the exterior angle of the triangle.

Zigmanuir [339]

Answer: x° = 77°

Step-by-step explanation:

x + 103 = 180

x = 180 - 103

x = 77°

also by properties:

x° = 42° + 35° = 77°

3 0

3 years ago

Read 2 more answers