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2 years ago

Need number 8 please!!

Mathematics

1 answer:

luda_lava [24]2 years ago

3 0

Using translation concepts, the graph of function g(x) = f(x) - 2 = x² - 2 is given at the end of the question.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are given as follows:

f(x) = x².

g(x) = f(x) - 2 = x² - 2.

Which means that g(x) is a shift down of 2 units of f(x), as given by the graph in the end of the question.

More can be learned about translation concepts at brainly.com/question/4521517

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The sum of three consecutive even integers is -78, what are the integers ?

Digiron [165]

First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that the sum of three consecutive even integers is $-78$ , therefore, you can given the variable $x
$ to the first integer, the second even integer is $x+2$ and the third one is $x+4
$ .
2. Calculate x:
 $x+(x+2)+(x+4)=-78$ 
 $3x+6=-78$
 $x=-28
$ 
 $x+2=-28+2=-26
$ 
 $x+4=-28+4=-24
$ 
Therefore, the answer is: $-28,-26,-24
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3 years ago

X.(9x-1).(x+2)-x(3x-1).(3x+1)

adoni [48]

Answer:

Sorry if i'm wrong.

=6x² + 16x - 2

8 0

3 years ago

the perimeter of football field in a rectangular form of a certain school is 296cm if the breath is2/3 of the length find the le

Pani-rosa [81]

Answer:

L = 29.6 cm

Step-by-step explanation:

Let Length be L and Breadth be B

Condition 1:

$2(Length)+2(Breadth) = Perimeter$

Where Perimeter = 296 cm

=> 2L + 2B = 296

=> 2(L+B) = 296

Dividing both sides by 2

=> L + B = 148 ------------------(1)

Condition 2:

=> B = $\frac{2}{3} L$ -------------------------(2)

Putting Equation 2 in 1

=> L + $\frac{2}{3} L$ = 148

Multiplying both sides by 3

=> 3L + 2L = 148

=> 5L = 148

=> L = 148/5

=> L = 29.6 cm

6 0

3 years ago

Read 2 more answers

Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0

Stells [14]

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = $\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}$

= - $\frac{16}{8}$

= -2

and y = $\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}$

= $-\frac{40}{8}$

= -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

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3 years ago

How are sides RS and RT related to each other?

Svetach [21]

Answer: Angle T is larger than angle S. So by the side opposite to angle to (side RS) is longer than the side opposite to angle S (side RT). Therefore, side RS is longer than side RT.

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3 years ago