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
marishachu [46]
3 years ago
8

What figure can be made with exactly 420 squares?

Mathematics
1 answer:
Natali [406]3 years ago
4 0
5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.

_____
The Nth figure is made with n*(n+1) tiles. To answer question 8, you must solve
.. n(n +1) = 420
.. n^2 +n -420 = 0
.. (n +21)(n -20) = 0
.. n = 20 or -21 . . . . the negative solution is extraneous
You might be interested in
Find all x-intercepts and y-intercepts of the graph of the function.<br> F(x)=x³-4x² - 4x + 16
Lady bird [3.3K]

Answer: (0;16)  (4;0)  (2;0)  (-2;0).

Step-by-step explanation:

Y-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

x=0\\F(x)=0^3-4*0^2-4*0+16\\F(x)=16.\\Hence,\  (0;16).

X-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

F(x)=0\\0=x^3-4x^2-4x+16\\0=(x^3-4x^2)-(4x+16)\\0=x^2*(x-4)-4*(x-4)\\0=(x-4)*(x^2-4)\\0=(x-4)*(x^2-2^2)\\0=(x-4)*(x-2)*(x+2)\\x-4=0\\x_1=4.\\Hence,\ (4;0)\\x-2=0\\x_2=2.\\Hence,\ (2;0)\\x+2=0\\x_3=-2.\\Hence,\ (-2;0).

8 0
1 year ago
. Charlotte buys two biscuits and a carton of milk for $5.00.
ivolga24 [154]

Answer:

$0.50

Step-by-step explanation:

.

4 0
3 years ago
Read 2 more answers
P+12=17 what does p equal in this situation ​
victus00 [196]

Answer:

5

Step-by-step explanation:

5+12= 17

8 0
3 years ago
Read 2 more answers
Graph the solution on the number line |x-3| &lt;5
Anettt [7]

Answer:

-2<x<8

see below for graph

Step-by-step explanation:

First, we need to solve the inequality.

Inequality: |x-3|<5

Split into two equations:

x-3<5

x-3>-5 (notice how the sign is flipped when we make the number negative)

let's start with x-3<5

add 3 to both sides

x<8

now

x-3>-5

add 3 to both sides

x>-2

The graph is below

the intersection is the solution.

Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)

the equation is -2<x<8

Hope this helps!

8 0
3 years ago
8k - 6 = 10k + 6<br> dress<br> Rhfhdhfjfjff
SashulF [63]

Answer:

-6 I meant

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What does this equal <br> Y=6x<br> 4x+y=7
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%203%20%3D%200" id="TexFormula1" title=" {x}^{2} - 6x +
    9·2 answers
  • A jar contains n nickels and d dimes. There are 30 coins in the jar, and the total value of the coins is $2.20. How many nickels
    7·1 answer
  • A video game costs $29.35 at one store and $32.79 at another store. Generate two equivalent expressions and then find how much m
    12·1 answer
  • The length of a rectangular field is twice its breadth. If the perimeter of the field is 150m . Find the dimensions of the recta
    8·1 answer
  • A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10−16 kilometer. How many times la
    12·2 answers
  • What is 347,200,000 in scientific notation
    10·2 answers
  • Jade’s weekly paycheck is $306.25. She makes $8.75 per hour. Divide to find the number of hours per week Jade works.
    11·2 answers
  • How is it possible that the sum of two quadratic trinomials is a linear​ binomial?
    14·1 answer
  • James earn 5$ an hour babysitting. Determine whether the amount of money james earns babysitting is proportional to the number o
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!