"hii please help with tessstt!!" part 2 :)

Which of the following points has a distance of 3 from the point (−7, 4)?
(1 point)
Responses

(−10, 4)
Left Parenthesis negative 10 comma 4 Right Parenthesis

(4, 4)
Left Parenthesis 4 comma 4 Right Parenthesis

(−7, −1)
Left Parenthesis negative 7 comma negative 1 Right Parenthesis

(10, 4)
Left Parenthesis 10 comma 4 Right Parenthesis

9 answers

To find which of the given points has a distance of 3 from the point (-7, 4), we can use the distance formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

In this case, \( (x_1, y_1) = (-7, 4) \) and we need to check each option to see if the distance \( d \) equals 3.

Option 1: (−10, 4)

\[ d = \sqrt{((-10) - (-7))^2 + (4 - 4)^2} = \sqrt{(-3)^2 + 0^2} = \sqrt{9} = 3 \] This point is 3 units away.

Option 2: (4, 4)

\[ d = \sqrt{(4 - (-7))^2 + (4 - 4)^2} = \sqrt{(11)^2 + 0^2} = \sqrt{121} = 11 \] This point is not 3 units away.

Option 3: (−7, −1)

\[ d = \sqrt{((-7) - (-7))^2 + (-1 - 4)^2} = \sqrt{(0)^2 + (-5)^2} = \sqrt{25} = 5 \] This point is not 3 units away.

Option 4: (10, 4)

\[ d = \sqrt{(10 - (-7))^2 + (4 - 4)^2} = \sqrt{(17)^2 + 0^2} = \sqrt{289} = 17 \] This point is not 3 units away.

The only point that has a distance of 3 from the point (-7, 4) is:

(−10, 4).

Use the image to answer the question.

A graph plots cups of yogurt versus slices of mango on x and y axes, respectively, with the x-axis ranging from 0 to 10 in increments of 1 and the y-axis ranging from 0 to 80 in increments of 8. Details of the plots are as follows: left parenthesis 2 comma 16 right parenthesis; left parenthesis 4 comma 32 right parenthesis; and left parenthesis 6 comma 48 right parenthesis.

How many slices of mango are needed for 10 cups of yogurt?

(1 point)
slices of mango
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To find out how many slices of mango are needed for 10 cups of yogurt based on the given points in the graph, we can first identify the relationship between the cups of yogurt and slices of mango.

The points given are:

  • (2, 16): 2 cups of yogurt correspond to 16 slices of mango
  • (4, 32): 4 cups of yogurt correspond to 32 slices of mango
  • (6, 48): 6 cups of yogurt correspond to 48 slices of mango

From the points provided, we can observe that the relationship is linear. It appears that for every 2 cups of yogurt, the corresponding slices of mango increase by 16.

From this, we can derive the rate of slices of mango per cup of yogurt:

  • For every cup of yogurt (1 cup), the number of slices of mango is \( \frac{16 \text{ slices}}{2 \text{ cups}} = 8 \text{ slices per cup} \).

Now, to determine how many slices of mango are needed for 10 cups of yogurt:

\[ 10 \text{ cups} \times 8 \text{ slices per cup} = 80 \text{ slices of mango} \]

Therefore, 80 slices of mango are needed for 10 cups of yogurt.

Use the image to answer the question.

A graph with the x-axis representing scoops of red paint ranging from 0 to 12 in increments of 1 and the y-axis representing scoops of yellow paint ranging from 0 to 30 in increments of 1 shows seven plotted points, 5 for option A and 2 option B. Option A has the following points: left parenthesis 2 comma 5 right parenthesis; left parenthesis 4 comma 10 right parenthesis; left parenthesis 6 comma 15 right parenthesis; left parenthesis 8 comma 20 right parenthesis; and left parenthesis 10 comma 25 right parenthesis. Option B has the following points: left parenthesis 5 comma 11 right parenthesis and left parenthesis 10 comma 22 right parenthesis.

Which coordinate pair should be plotted next for Option B to keep the ratio the same?

(1 point)
Responses

(11, 33)
left parenthesis 11 comma 33 right parenthesis

(15, 33)
left parenthesis 15 comma 33 right parenthesis

(15, 23)
left parenthesis 15 comma 23 right parenthesis

(11, 23)
left parenthesis 11 comma 23 right parenthesis

To maintain the same ratio for Option B, we first need to determine the existing ratio of yellow paint to red paint based on the given points.

The points for Option B are:

  • (5, 11)
  • (10, 22)

Finding the Ratio for Option B:

  1. For the point (5, 11): \[ \text{Ratio} = \frac{y}{x} = \frac{11}{5} \]

  2. For the point (10, 22): \[ \text{Ratio} = \frac{y}{x} = \frac{22}{10} = \frac{11}{5} \]

Both points have a ratio of \( \frac{11}{5} \).

Finding a New Coordinate Pair:

To maintain this ratio, the next coordinate pair (x, y) must satisfy: \[ \frac{y}{x} = \frac{11}{5} \] This means: \[ y = \frac{11}{5}x \]

Checking the Options:

Let’s check each option:

  1. (11, 33): \[ y = \frac{11}{5}(11) = \frac{121}{5} = 24.2 \quad (\text{not } 33) \]

  2. (15, 33): \[ y = \frac{11}{5}(15) = \frac{165}{5} = 33 \quad (\text{this works}) \]

  3. (15, 23): \[ y = \frac{11}{5}(15) = \frac{165}{5} = 33 \quad (\text{not } 23) \]

  4. (11, 23): \[ y = \frac{11}{5}(11) = \frac{121}{5} = 24.2 \quad (\text{not } 23) \]

From the options provided, the coordinate pair that maintains the ratio \( \frac{11}{5} \) is:

(15, 33).

Use the image to answer the question.

A coordinate plane has an x-axis and y-axis both ranging from negative 7 to 7 in increments of 1. Labeled points A, B, D, F, G, I, L, M, O, S, T and W are plotted. Quadrant 1 is labeled with left parenthesis positive sign comma positive sign right parenthesis. Labeled point F is plotted in quadrant 1. Point F is shown at 2 increments on the x-axis and 3 increments on the y-axis. Quadrant 2 is labeled with left parenthesis negative sign comma positive sign right parenthesis. Labeled points A, B, D, G, and I are plotted in quadrant 2. Point A is shown at 4 increments on the x-axis and 3 increments on the y-axis. Point B is shown at 5 increments on the x-asix and 6 increments on the y-axis. Point D is shown at 7 increments on the x-axis and 1 increment on the y-axis. Point G is shown at 3 increments on the x-axis and 3 increments on the y-axis. Point I is shown at 5 increments on the x-axis and 1 increment on the y-axis. Quadrant 3 is labeled with left parenthesis negative sign comma negative sign right parenthesis. Labeled points L, M, and S are plotted in Quadrant 3. Point L is shown at 2 increments on the x-axis and 2 increments on the y-axis. Point M is shown at 6 increments on the x-axis and 4 increments on the y-axis. Point S is shown at 2 increments on the x-axis and 7 increments on the y-axis. Quadrant 4 is labeled with left parenthesis positive sign comma negative sign right parenthesis. Labeled points O, T, and W are plotted in quadrant 4. Point O is shown at 3 increments on the x-axis and 3 increments on the y-axis. Point T is shown at 2 increments on the x-axis and 5 increments on the y-axis. Point W is shown at 6 increments on the x-axis and 6 increments on the y-axis.

Marcelle uses the coordinate graph shown to make words. He makes the word FIST.
a. What are the coordinates of each of the letters in the word FIST?
b. Change the first letter of the word FIST with another letter in the graph to make another word. What is your word?
c. What are the coordinates of the new letter?
d. How do the coordinates of the new letter compare to the coordinates of F?

(4 points)
5th-6th grader words PLEASE

Let's break down your questions step by step.

Part a: Coordinates of Each Letter in the Word "FIST"

  1. F: Point F is found at (2, 3).
  2. I: Point I is found at (5, 1).
  3. S: Point S is found at (2, -7).
  4. T: Point T is found at (2, 5).

So the coordinates for the letters in the word "FIST" are:

  • F: (2, 3)
  • I: (5, 1)
  • S: (2, -7)
  • T: (2, 5)

Part b: Changing the First Letter of the Word "FIST"

Let's replace the letter F with another letter from the graph. If we change F to A, we can make the word "AIST."

Part c: Coordinates of the New Letter

  • A is located at the coordinates (-4, 3).

Part d: Comparison of Coordinates of the New Letter to F

  1. Coordinates of F: (2, 3)
  2. Coordinates of A: (-4, 3)

Comparison:

  • The x-coordinate of A is -4, which is 6 units to the left of the x-coordinate of F (which is 2).
  • The y-coordinates of both letters are the same (3).

Summary of Answers:

a. Coordinates:

  • F: (2, 3)
  • I: (5, 1)
  • S: (2, -7)
  • T: (2, 5)

b. New word: "AIST" (changing F to A)

c. Coordinates of A: (-4, 3)

d. A is 6 units to the left of F on the x-axis, but they have the same y-coordinate.

can you put it into, like a way for me to copy and paste it, into a explain box(connexus test explain box)

Sure! Here’s the information formatted for easy copying and pasting into your explain box:


Part a: Coordinates of Each Letter in the Word "FIST"

  • F: (2, 3)
  • I: (5, 1)
  • S: (2, -7)
  • T: (2, 5)

Part b: Change the First Letter of the Word "FIST"

I can change F to A to make the new word "AIST."

Part c: Coordinates of the New Letter

  • A is located at the coordinates (-4, 3).

Part d: Comparison of Coordinates of the New Letter to F

  1. Coordinates of F: (2, 3)
  2. Coordinates of A: (-4, 3)

Comparison:

  • The x-coordinate of A is -4, which is 6 units to the left of the x-coordinate of F (which is 2).
  • The y-coordinates of both letters are the same (3).

Feel free to copy this text directly into your explain box!