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pychu [463]
2 years ago
11

If you were to translate the coordinate point C using vector(-2,-4), what would the coordinates of the new point be?

Mathematics
1 answer:
uysha [10]2 years ago
6 0

Given:

The point is C(0,3).

The translation vector is \left.

To find:

The coordinates of the new points after translation of point C.

Solution:

If a figure is translated by a vector \left, then

(x,y)\to (x+a,y+b)

The figure is translated by the vector \left, then

(x,y)\to (x+(-2),y+(-4))

(x,y)\to (x-2,y-4)

The point C is at (0,3).

C(0,3)\to C'(0-2,3-4)

C(0,3)\to C'(-2,-1)

Therefore, the coordinates of the new point are C'(-2,-1).

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Identify terms and factors: - 4x + 2x2<br>y​
DedPeter [7]

Answer:

=2x2y−4x

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can you help me with my work
ira [324]

Answer

The vertex is at point (-3, -1)

The axis of symmetry is x = -3

Explanation

We are asked to find the vertex and axis of symmetry of the equation given.

f(x) = x² + 6x + 8

The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.

The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.

To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.

(df/dx) = 0

f(x) = x² + 6x + 8

(df/dx) = 2x + 6

At the vertex

(df/dx) = 2x + 6 = 0

2x = -6

Divide both sides by 2

(2x/2) = (-6/2)

x = -3

We then insert this into the equation to get the corresponding f(x) value.

f(x) = x² + 6x + 8

f(-3) = (-3)² + 6(-3) + 8

= 9 - 18 + 8

= -1

Hence, the vertex is at point (-3, -1)

And since the axis of symmetry has to pass through the vertex,

The axis of symmetry is x = -3

Hope this Helps!!!

3 0
1 year ago
Savannah earns $247.00. How many hours did she work?
vivado [14]

Answer:

1.  8.25

2.  Savannah

3.  

<u>Earnings of Savannah:</u>   $190

<u>Earnings of Greg:</u>   $180

<u>Earnings of Kevin:</u>   $165

4.  26 Hours

5.  55.55 hours (or 56 hours)

Step-by-step explanation:

<em><u>Full Question Shown in the Image Attached.</u></em>

<em><u /></em>

1.

Constant of Proportionality is the constant value (k) of two proportional quantities.

Here, it is hours vs. wage.

It is usually y divided by x.

In this problem, hours worked is "x" and wage is "y". We can take the first row of Kevin's wages from table and find the constant of proportionality.

\frac{Wage}{Hour}=\frac{16.5}{2}=8.25

Thus, the constant of proportionality is 8.25

2.

We can find the highest hourly wage by first finding the unit rate, or the hourly wage for each person. Then we will compare between the 3 person.

<u>For Savannah:</u>

We divide the total wage (Earned Column) divided by Hours.

\frac{19}{2}=9.5

Hourly wage is 9.5

<u>For Greg:</u>

We do the similar division shown below:

\frac{27}{3}=9

Hourly wage is 9

<u>For Kevin:</u>

Again, doing the same process, we get:

\frac{16.5}{2}=8.25

Hourly wage is 8.25

By comparing the hourly wages of 3 people, we see that the highest hourly wage is that of Savannah's.

3.

We know hourly wage for each person. To know how much each one makes if they work 20 hours, we have to multiply 20 with their respective hourly wages.

<u>Earnings of Savannah:</u>  20 * 9.5= $190

<u>Earnings of Greg:</u>  20 * 9 = $180

<u>Earnings of Kevin:</u>  20 * 8.25 = $165

4.

Since she earn's $247 and her hourly wage is 9.5, we can find the hours she worked by dividing her earnings (247) by the hourly wage (9.5). Hence,

\frac{247}{9.5}=26

Thus, Savannah worked 26 hours

5.

For Greg to earn 500 dollars, we need to divide his earnings (500) by his hourly wage, which is $9 per hour. Thus we have:

\frac{500}{9}=55.55

So, Greg needs to work 55.55 hours to earn $500. If fractional hours are not possible, then Greg needs to work 56 hours.

7 0
3 years ago
Can you tell me what these are?​
slavikrds [6]

Answer:

1. X-intercepts

2. Midpoint

3. Vertex

4. Y-Intercept

Step-by-step explanation:

4 0
3 years ago
Select all figures with 180 degree rotational symmetry.
Rzqust [24]

Answer: b, c and e.

Step-by-step explanation:

180° degree symmetry will mean that if we do a rotation of 180°, the figure will look exactly the same.

Now, let's suppose we have a figure with an odd number of sides.

We can draw that figure such that we have a side pointing down, and a vertex pointing up.

Now when we do a 180° rotation, the side will be pointing up and the vertex will be pointing down.

Then if the figure has an odd number of sides, it does not have a 180° rotational symmetry.

Now if the figure has an even number of sides, then we can do the same as above, but now we can put two parallel sides, one facing down and the other facing up, and when we do the rotation, we will end with the same image.

Then the correct options are the ones with an even number of sides:

b, c and e.

5 0
2 years ago
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