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AVprozaik [17]
3 years ago
10

The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x −4 The graph of g(x) is obtained by shifting down the g

raph of f(x) by ___ units.
A.) 13
B.) 9
Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0
Correct Answer:
Option A

Solution:

f(x) = 7x + 9
g(x) = 7x - 4

We can re-write g(x) as:

g(x) = 7x + 9 - 13

Since 7x+9 is equal to f(x), we can write:

g(x) = f(x) - 13

This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
You might be interested in
What is the third angle of a right triangle if one of the angles measures 51.
Elodia [21]

Answer:

39

Step-by-step explanation:

The short answer is 39.

Every triangle has 180 degrees. There are no exceptions to this rule.

Since a triangle has 3 angles, all three together must add up to 180o

A right angle = 90 degrees always.

You are given 51 degrees as your second angle

The third one is x

x + 51 + 90 = 180                   Total of three angles must be 180

x + 141 = 180                           The left has been added to give 141

x = 180 - 141                            Subtract 141 from both sides

x = 39                                     The third angle = 39    

3 0
3 years ago
Help find perimeter and area
klio [65]

Answer: perimeter = 96mm, Area = 564mm².

Step-by-step explanation:

From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x

Therefore,

25² = ײ + 7²

625 = x² + 49

x² = 625 - 49

x² = 576

x. = √576

= 24.

Now the perimeter

= 20 + 25 + 7 + 20 + 24

= 96mm.

Area of the figure will be

= 1/2( a + b )h

Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values

( 20 + 27) x 24

---------------------

2

= 47 x 24/2

= 47 x 12

= 564mm²

8 0
3 years ago
over 5 days 8,208 people visited the amusement park about how people visited the park per day using rates
Nadusha1986 [10]
Number of people visited per day =  Number of People visited / Number of days

                                                 = 8208 People / 5 days

                                                 =  1641.6  People / day.
6 0
3 years ago
NEED ANSWER ASAP (with work) <br><br> the diagram below shows a pentagon. Find the value of X.
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Yes, I know the answer but I don’t have the work sorry

8 0
3 years ago
A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. A. 39
san4es73 [151]

Answer:

The answer to your question is        diameter  = 19.7 in

Step-by-step explanation:

Data

Circumference = 62 in

diameter = ?

Process

1.- Write the formula of Circumference, remember that circumference = perimeter.

    Perimeter = 2πr

2.- Equal the equation to the value given

                        2πr = 62

-Solve it for r

                            r = 62/2(3.14)

-Result

                           r = 62/6.28

                           r = 9.87 in

3.- Find the diameter

             diameter = 2r

             diameter = 2(9.87)

             diameter  = 19.7 in

4 0
3 years ago
Read 2 more answers
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