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
Len [333]
2 years ago
12

Which expression is equivalent to 16^2 − 36? (Explain)

Mathematics
1 answer:
seropon [69]2 years ago
6 0

Answer:

4(2x-3)(2x + 3)

Step-by-step explanation:

Here, we want to simplify the given expression

we can have;

16x^2-36

= 4(4x^2 -9)

we can use the difference of two squares

where;

a^2 - b^2 = (a-b)(a + b)

= 4(2x-3)(2x+ 3)

You might be interested in
A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
3 years ago
What is the value of x in the proportion ​
siniylev [52]

Answer:

  5 2/5

Step-by-step explanation:

Multiply by (3 3/5)x/(1 1/2):

  x = (2 1/4)(3 3/5)/(1 1/2) = (9/4)(18/5)(2/3) =27/5

  x = 5 2/5

4 0
2 years ago
What is the volume of this aquarium?
geniusboy [140]

Answer:

2,973 in^3

Step-by-step explanation:

3000- large section

27- smaller center cut-out

6 0
3 years ago
Read 2 more answers
Which ordered pair is a solution to the inequality 3x - 4y &lt; 16 ?
fgiga [73]

Answer:

C.

Step-by-step explanation:

You are given 3x-4y<16 and we want to see which of the ordered pairs is a solution.

These ordered pairs are assumed to be in the form (x,y).

A. (0,-4) ?

3x-4y<16 with (x=0,y=-4)

3(0)-4(-4)<16

0+16<16

16<16 is not true so (0,-4) is not a solution of the given inequality.

B. (4,-1)?

3x-4y<16 with (x=4,y=-1)

3(4)-4(-1)<16

12+4<16

16<16 is not true so (4,-1) is not a solution of the given inequality.

C. (-3,-3)?

3x-4y<16 with (x=-3,y=-3)

3(-3)-4(-3)<16

-9+12<16

   3<16 is true so (-3,-3) is a solution to the given inequality.

D. (2,-3)?

3x-4y<16 with (x=2,y=-3)

3(2)-4(-3)<16

6+12<16

18<16 is false so (2,-3) is not a solution to the given inequality.

4 0
3 years ago
In the scalene triangles shown, 2P = 2).
Black_prince [1.1K]

Answer:

I guess (c) is your answer. thanks!!

8 0
3 years ago
Other questions:
  • Foil pattern (7k+8)(5k+6)
    7·1 answer
  • Is 1 a probability?
    13·1 answer
  • What is the area of this figure ?
    9·2 answers
  • Construct an x chart.
    7·1 answer
  • Pendiente 6 y puntos (5, -2)
    14·1 answer
  • A pair of belted pulleys have diameters of 18 in. and 12 in. If the smaller pulley turns at 750 rpm, how fast will the larger pu
    7·1 answer
  • If f(x) is a third degree polynomial function, how many distinct complex roots are possible?
    8·2 answers
  • A set of triplets weighted 4lb 3oz , 3 lb 9oz and 4 lb 5 oz . What is the total weight of all three babies ?
    15·1 answer
  • Can someone help me Plz
    7·1 answer
  • Find the percent change from the first value to the second.<br><br> 60; 90
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!