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ladessa [460]
2 years ago
10

Use the three steps to solve the problem.

Mathematics
1 answer:
VladimirAG [237]2 years ago
3 0

Answer:

The answers in numerical order are 4, 9.

Step-by-step explanation:

i)Let the two required numbers be x, y .

ii) It is given that x = y + 5

iii) it is also given that x + y  = 3y - 3.

iv) substituting the value of x from ii) in equation iii) we get

   (y + 5) + y = 3y - 3    ⇒ 2y = 8    ∴ y = 4

v) Substituting the value of y from equation iv) in equation ii) we get

    x = 4 + 5 = 9

vi) The answers in numerical order are 4, 9.

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I need help on listing the four points that have a distance of 8 from B, thank you!
dolphi86 [110]

Answers:

  • (12, 3)
  • (-4, 3)
  • (4, 11)
  • (4, -5)

A diagram is shown below.

===========================================================

Explanation:

First we locate point B at (4,3). The '4' in the x position means we've gone 4 units to the right of the origin, and the 3 in the y coordinate means we've gone 3 units up.

Now we need to find four points that are 8 units away from this central location. We'll ignore point A.

What we can do is add 8 to the x coordinate of point B to get x+8 = 4+8 = 12. Keeping the y coordinate the same, the point (12, 3) is exactly 8 units away from (4,3). Think of drawing a number line through those two points. Then we can note there are 8 spaces between (4,3) and (12,3). Or we can say "there are 8 spaces between 4 and 12" since that '3' doesn't really play much of a role in this case.

So (12,3) is one answer.

---------------------------------

Move back to point B(4,3)

Instead of adding 8 to the x coordinate, let's subtract 8 from it

x-8 = 4-8 = -4

Again the y coordinate is kept the same.

The point (-4, 3) is 8 units away from (4,3). The number line distance from -4 to 4 is 8 units.

So (-4,3) is another answer.

----------------------------------

Move back to point B

From this starting point, we can move 8 units up. Doing this means we add 8 to the y coordinate, while the x coordinate is kept intact.

(4,3) turns into (4,11) after doing so.

(4,11) is another answer.

---------------------------------

Move back to point B

From this point, we can move down 8 units to arrive at (4,-5). note how y-8 = 3-8 = -5. The x coordinate is kept the same.

(4,-5) is another answer.

----------------------------------

The four points we found were:

  • (12, 3)
  • (-4, 3)
  • (4, 11)
  • (4, -5)

which are four possible answers

Those points are found by going 8 units right, 8 units left, 8 units up and 8 units down in that order. Each time we started at point B as our center of operation. The use of the word "center" is done because we can form a circle of radius 8, and the center of the circle is at B(4,3). Any point on the circle's edge is exactly 8 units away from the center point B.

Refer to the diagram below. The four answers are the red points P,Q,R,S. The point T is another point that could be an answer, but it's not as easy to find compared to the four other points.

3 0
3 years ago
A travel agency created a pamphlet for a city. They chose the high temperature for 10 random days during the year to calculate t
solong [7]
A. 68.4 degrees
Add all the temperatures together and divide by the number of days
6 0
2 years ago
The height h of a thrown object as a function of horizontal distance d that it has traveled is a quadratic function. An object i
omeli [17]

Answer:

  h(d) = (17/3249)(-d² +114d)

Step-by-step explanation:

For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...

  f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)

We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...

  f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)

Using the appropriate function name and variable, we have ...

  h(d) = (17/3249)(-d² +114d)

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3 years ago
Anyone know the answer?
FrozenT [24]
I legit can’t see it
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3 years ago
What fraction of a dollar is represented by one dime
VLD [36.1K]
10 over 100 is the answer

10/100
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