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2 years ago

10

Nicholas read a total of 20 books over 4 months. If Nicholas has read 45 books so far, how many months has he been with his book

club? Assume the relationship is directly proportional.

2 answers:

Alborosie2 years ago

4 0

Answer:

5 months

Step-by-step explanation:

ayeeee

rodikova [14]2 years ago

3 0

Answer:

5 months

Step-by-step explanation:

45-20=25

25/5=5

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Which series of transformations will not map figure H onto itself

7nadin3 [17]

Answer:

D

Step-by-step explanation:

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2).

Consider option A.

1st transformation $(x+0,y-2)$ will map vertices of the square into points

$(2,1)\rightarrow (2,-1);$
$(1,2)\rightarrow (1,0);$
$(2,3)\rightarrow (2,1);$
$(3,2)\rightarrow (3,0).$

2nd transformation = reflection over y = 1 has the rule (x,2-y). So,

$(2,-1)\rightarrow (2,3);$
$(1,0)\rightarrow (1,2);$
$(2,1)\rightarrow (2,1);$
$(3,0)\rightarrow (3,2)$

These points are exactly the vertices of the initial square.

Consider option B.

1st transformation $(x+2,y-0)$ will map vertices of the square into points

$(2,1)\rightarrow (4,1);$
$(1,2)\rightarrow (3,2);$
$(2,3)\rightarrow (4,3);$
$(3,2)\rightarrow (5,2).$

2nd transformation = reflection over x = 3 has the rule (6-x,y). So,

$(4,1)\rightarrow (2,1);$
$(3,2)\rightarrow (3,2);$
$(4,3)\rightarrow (2,3);$
$(5,2)\rightarrow (1,2)$

These points are exactly the vertices of the initial square.

Consider option C.

1st transformation $(x+3,y+3)$ will map vertices of the square into points

$(2,1)\rightarrow (5,4);$
$(1,2)\rightarrow (4,5);$
$(2,3)\rightarrow (5,6);$
$(3,2)\rightarrow (6,5).$

2nd transformation = reflection over y = -x + 7 will map vertices into points

$(5,4)\rightarrow (3,2);$
$(4,5)\rightarrow (2,3);$
$(5,6)\rightarrow (1,2);$
$(6,5)\rightarrow (2,1)$

These points are exactly the vertices of the initial square.

Consider option D.

1st transformation $(x-3,y-3)$ will map vertices of the square into points

$(2,1)\rightarrow (-1,-2);$
$(1,2)\rightarrow (-2,-1);$
$(2,3)\rightarrow (-1,0);$
$(3,2)\rightarrow (0,-1).$

2nd transformation = reflection over y = -x + 2 will map vertices into points

$(-1,-2)\rightarrow (4,3);$
$(-2,-1)\rightarrow (3,4);$
$(-1,0)\rightarrow (2,3);$
$(0,-1)\rightarrow (3,2)$

These points are not the vertices of the initial square.

5 0

3 years ago

F(-2)when f(x) = 2x^2 - 3x + 28? <br><br> ^ = squared

horsena [70]

The answer of f(-2) is 42

6 0

2 years ago

Read 2 more answers

The explicit rule for a sequence is given.

tamaranim1 [39]

$a_{1}=3$

$a_{n}=16a_{n-1}$

just use the standart recursive for geometric sequence

6 0

2 years ago

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Jason Runs 100 yards in 15 seconds How Many feet can jason run in 15 seconds

SpyIntel [72]

Answer:

He can run 20 ft in 15 seconds

Step-by-step explanation:

we need to change yards to ft

3ft = 1yd

100 yds * 3ft/1yd = 300 ft

distance = rate * time

300 ft = rate * 15 seconds

divide by 15 seconds on both sides

300 ft/15 seconds = rate

20 ft/sec

He can run 20 ft in 15 seconds

3 0

3 years ago

Read 2 more answers

What’s the correct answer for this question?

Katena32 [7]

Answer:

C.

Step-by-step explanation:

It is the complement of the circle in the square

Okay,

Let the square be Universal set(U) and the circle be A

So

A complement = A' = U-A So

The shaded area is the complement of the circle

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2 years ago