MATHEMATICS HIGH SCHOOL

Plz help with this problem

Answers

Answer 1

Answer:

To fond the midpoint add each term to each other and divide by 2.

3+2 = 5

5/2

In 2-i, i can also be written as 1i

So now 8+1 = 9

9/2

The midpoint would be 5/2 + 9/2i

Answer 2

Answer:

To fond the midpoint add each term to each other and divide by 2.

3+2 = 5

5/2

In 2-i, i can also be written as 1i

So now 8+1 = 9

9/2

The midpoint would be 5/2 + 9/2i

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What is the image of (-2, -5) after a reflection over the line y = x

Answers

Answer:

(-5, -2)

Step-by-step explanation:

Rule for reflection over y = x :

(x, y) -> (y, x)

Answer:

2, -5

Step-by-step explanation:

A parabola is defined by the equation (x − 5)2 = 12(y + 2). In which direction will the parabola open?

Answers

Since the equation is in the form:
(1/a)(y – k) = (x – h)2

Then, the parabola will open either upward or downward. To tell which direction will the parabola open, the coefficient of the term:
(y – k)
must be inspected.

The coefficient is 12 and it is a positive number, therefore, the parabola will open upward.

Salve by substitution

Answers

Solve 3x-8y=-26 for x

Add 8y to both sides

3x-8y+8y=-26+8y

3x = 8y-26

Divide both sides by

3x/3 = 8y-26/3

x = 8/3 y + -26/3

Substitute 8/3 y + -26/3 for x in -5x+6y = 14

-5x+6y = 14

-5(8/3 y + -26/3 ) +6y = 14

Simplify both sides of the equation

-22/3 y + 130/3 = 14

Add -130/3 to both sides

-22/3 y + 130/3 + -130/3 = 14 + -130/3

-22/3 y = -88/3

Divide both sides by -22/3

-22/3 y / -22/3 = -88/3 / -22/3

Substitute 4 for y in x= 8/3 y + -26/3

x= 8/3 y + -26/3

x = 8/3 (4) + - 26/3

Simplify both sides of the equation

x = 2

Answer : x = 2 and y = 4

I hope that's help my friend !

Please if you have any question just asking and I will do my best to help you understand it .

Pretty stuck on this paper,someone help out? an explanation would be appreciated as well!

Answers

I can help you with graphing quadratics in intercept form. Here's a step-by-step guide:

Step 1: Identify the intercepts

The intercepts are the points where the parabola crosses the x-axis and y-axis. In intercept form, the x-intercepts are given by the factors of the quadratic expression. For example, in the equation f(x) = 2(x+4)(x+6), the x-intercepts are -4 and -6. To find the y-intercept, set x = 0 and solve for y.

Step 2: Find the vertex

The vertex is the point where the parabola reaches its maximum or minimum value. The x-coordinate of the vertex is the average of the x-intercepts. In the equation f(x) = 2(x+4)(x+6), the x-intercepts are -4 and -6, so the x-coordinate of the vertex is (-4 + -6)/2 = -5. To find the y-coordinate of the vertex, substitute the x-coordinate into the equation and solve for y.

Step 3: Plot the intercepts and vertex

Mark the intercepts and vertex on the coordinate plane.

Step 4: Sketch the parabola

Draw a smooth curve that passes through the intercepts and vertex. The parabola should be symmetric about the vertical line passing through the vertex.

Example:

Let's graph the equation f(x) = 2(x+4)(x+6).

Step 1: Identify the intercepts

The x-intercepts are -4 and -6. To find the y-intercept, set x = 0 and solve for y:

f(0) = 2(0+4)(0+6) = 48

So the y-intercept is (0, 48).

Step 2: Find the vertex

The x-coordinate of the vertex is (-4 + -6)/2 = -5. To find the y-coordinate of the vertex, substitute x = -5 into the equation:

f(-5) = 2(-5+4)(-5+6) = 2

So the vertex is (-5, 2).

Step 3: Plot the intercepts and vertex

Plot the intercepts (-4, 0), (-6, 0), and (0, 48), and the vertex (-5, 2) on the coordinate plane.

Step 4: Sketch the parabola

Draw a smooth curve that passes through the intercepts and vertex. The parabola should be symmetric about the vertical line passing through the vertex.

The graph of the equation f(x) = 2(x+4)(x+6) is a parabola that opens upwards and has intercepts at (-4, 0), (-6, 0), and (0, 48). The vertex of the parabola is at (-5, 2).

Round it to nearest tenth 0.73913

Answers

Hi,
17/23 in decimal form is about 0.73913043478. So if you round it to the nearest thousandth, it will be 0.739.

Hope this helped,

Final answer:

Rounding the number 0.73913 to the nearest tenth gives us 0.7. This is determined by the digit in the hundredths place, which in this case is 1, telling us to leave the digit in the tenths place as it is.

Explanation:

To round the number 0.73913 to the nearest tenth, we look at the digit in the hundredths place, which in this case is 1. We can follow a simple rule: if the digit in the hundredths place is 5 or above, we round the digit in the tenths place up. However, if the digit in the hundredths place is 4 or below, we leave the digit in the tenths place as it is. In this case, the digit in the hundredths place is 1, which is less than 5, so we leave the digit in the tenths place as it is. Therefore, when rounded to the nearest tenth, 0.73913 becomes 0.7.