1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scoundrel [369]
3 years ago
9

Carlos uses a vertical number line to graph the points −4, −2, 3, and 4. He notices that −4 is closer to zero than −2. He is not

sure about his diagram. Use what you know about a vertical number line to determine if Carlos made a mistake or not. Support your explanation with a number line diagram.
Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Step-by-step explanation:

The number line is a line with marks, where each mark represents a real number.

In the vertical number line zero is in the center. The numbers above zero are considered positive and the numbers below zero are considered negative.

4

3

2

1

0

-1

-2

-3

-4

The numbers after zero start from 0, 1, 2 ...... and 0, -1, -2.....

Hence, Carlos is wrong and -4 is further to zero than -2

You might be interested in
If b=a, where one the number line will b appear
Mashcka [7]
Right on top of 'a'. They'll look like one single point on the number line.
7 0
3 years ago
Can someone please help me?
kozerog [31]

Answer:

c

Step-by-step explanation:

8yfdggdufugfugyxcugxfyyrx

7 0
3 years ago
Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f
Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0
3 years ago
Helppppppppp please:)
OlgaM077 [116]

Step-by-step explanation:

Thr triangles are similar if any two sides are proportional.

In this, we cannot see any proportional sides, like

DU should be proportional to UT, it is not.

SU should be equal to UE ,it is not.

So, The triangles are not similar.

Hope it helps :)

3 0
3 years ago
Which of the is the same as2.3×10^3
dalvyx [7]
2300 you mover the decimal over 3 spaces
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of RSL?
    5·1 answer
  • What’s the correct answer for this question?
    14·1 answer
  • 16.50 and pays 20.00 in cash the change due is
    15·2 answers
  • Help with this I don't know how to solve
    14·1 answer
  • Find arc length CDE geometry ​
    8·1 answer
  • Three students sit in the first row. In the second row, 3 students sit behind each of those students, and so on. Write an expres
    10·1 answer
  • Cole makes t-shirts. He charges a fix amount to create a t-shirt design. He than charges and addition amount for each t-shirt co
    11·1 answer
  • 7. Of 101 randomly selected adults
    6·1 answer
  • Angle A and B are supplementary angles. Angle A measures 45 degrees. What is the measurement of angle B?
    13·1 answer
  • Write a paragraph where you experienced an inequality/ies in your life situation. how does it feel?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!