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barxatty [35]
3 years ago
13

Prove: The square of a number that is two more than a multiple of 3 is one more than a multiple of 3.

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

<u>To prove:</u>

  • (3x + 2)² is  3y + 1

<u>Expand the square:</u>

  • 9x² + 6x + 4 = (9x² + 6x + 3) + 1 = 3(3x² + 2x + 1)  + 1 = 3y + 1
  • Proven
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one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units. are these two figures scaled versio
Amanda [17]

Answer: The both triangle are not scale version to each other.

Explanation:

It is given that the one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units.

The two shapes are scaled version of each other if their corresponding sides are in same proportion. In other words the if two shapes scaled version of each then the shapes are similar.

The sides or first rectangle are 2 and 7. The measures of second rectangle are 11 and 37.

The proportion of small side is,

\frac{2}{11}

The proportion of large side is,

\frac{7}{37}

So,

\frac{2}{11}\neq \frac{7}{37}

Since the proportion are not equal, therefore  both triangle are not scale version to each other.

6 0
3 years ago
If (x) = x^2 - 3x + 1 what is the value of f(-2)
KIM [24]

Answer:

11

Step-by-step explanation:

f(x) = x^2 - 3x + 1

f(-2) = (-2)^(2)-3(-2)+1

f(-2) = 4 + 6 + 1

f(-2) = 11

Just substiute -2 for x and sove.

8 0
3 years ago
Read 2 more answers
What is the equation of the following graph?
ser-zykov [4K]

Answer:

y=0.5x + 5

Step-by-step explanation:

The points are (0,5) and (-10,0)

to find the slope do

0-5/-10-0 = 5/10 = 1/2 = 0.5

next plug one of the points into point slope formula

y-y1=m(x-x1)

lets use the point (-10,0)

y1=0

x1= -10

m= 0.5

y-0=0.5(x- -10)

y = 0.5(x+10)

distribute the 0.5

y=0.5x+5

7 0
3 years ago
If 8 counters is the whole, how many counters make 1/4
Gala2k [10]
Answer: 2

each counter is 1/8, so two is 2/8 which is equivalent to 1/4
4 0
3 years ago
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What is the degree of 5x^3+3x^2-4x+1?<br> A.) 3<br> B.) 4<br> C.) 5<br> D.) 6
Aleks [24]
When you say degree, do you mean answer if so, there is no solution to this equation.
7 0
3 years ago
Read 2 more answers
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