MATHEMATICS HIGH SCHOOL

What is the midpoint of the segment shown below?

Answers

Answer 1

Answer:

Answer:

It is C (4,3). Hope it helps.

Answer 2

Answer:

Answer:

C. (4,3)

Step-by-step explanation:

To find the midpoint you must individually add the X's and the Y's and divide by 2. For example in this case, -2+10=8 divide by 2 and get 4. Then 3+3=6 divide by 2 is 3. It's that simple.

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Answers

Answer:

Step-by-step explanation:

I think the answer is b.

Find equations if the following lines: Line that is parallel to the graph of y = 3x – 2 and contains the point (-2,-5)

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Y3to triangle pyramid -2

What is the sin, cos, and tan of -495 degrees, and -20π/3 ??

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sin-495 = 0.98
cos-495 = 0.19
tan-495 = 4.95

sin-20π/3 = 0
cos-20π/3 = 0.3
tan-20π/3 = 0

Which of the following correctly completes the square for the equation below x2+2x=19A: (x+1)^2=23
B:(x+2)^2=20
C:(x+1)^2=20
D:(x+2)^2=23

Answers

answer is C:(x+1)^2=20

x2 + 2x = 19
x2 + 2x + 1 = 19 + 1
(x + 1)^2 = 20

A rectangular painting measures 15 inches by 18 inches and contains a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting and its frame is 90 inches. Determine the width of the frame.

Answers

Answer:

3 inches

Step-by-step explanation:

Lenght = 18 inches

Width =15 inches

Perimeter of the rectangular painting and frame = 90 inches

Let X be the width of the frame

The width of the framed picture = 15 + 2x

The length of the framed picture = 18 + 2x

Perimeter = 2 (L + W)

90 = 2(15 + 2x + 18+ 2x)

90 = 2(33 + 4x)

90 = 66 + 8x

8x = 90 - 66

8x = 24

x = 24/8

x = 3 inches

the width of the frame is 3 inches

Final answer:

To determine the width of the frame, subtract twice the frame width from the length and width of the outer rectangle and set up an equation based on the perimeter.

Explanation:

To determine the width of the frame, we need to first find the dimensions of the inner rectangle formed by the painting. If we subtract twice the frame width from the length and width of the outer rectangle, we get the length and width of the inner rectangle. Let's call the width of the frame 'x'.

The length of the inner rectangle is 15 inches - 2 inches, and the width of the inner rectangle is 18 inches - 2 inches. The perimeter of the inner rectangle is the sum of its four sides, which can be calculated using the

formula P = 2l + 2w. We know that the perimeter of the inner rectangle is 90 inches, so we can set up the equation:

90 = 2(15 - 2x) + 2(18 - 2x)

Solving this equation will give us the value of 'x', which represents the width of the frame.

Learn more about the Dimensions of a rectangular frame here:

brainly.com/question/32613996

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What is the slope of a line parallel to the line whose equation is y - x = 5?-1
1
5

Answers

$the \ slope \ intercept \ form \ is : \n \n y= mx +b\n\ny - x = 5 \n \ny=x+5 \n \n m=1$

Using linear function concepts, it is found that the slope of a line parallel to the line whose equation is y - x = 5 is of 1.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope.

In this problem, we want a parallel line to y - x = 5. In slope-intercept format, the equation is:

y = x + 5.

The slope is of m = 1, hence the parallel line also has slope of 1.

More can be learned about linear function concepts at brainly.com/question/24808124

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