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laiz [17]
3 years ago
15

Show why, for linear functions, a vertical translation is equivalent to a horizontal translation. For a linear function, what ho

rizontal translation is equivalent to a vertical translation of 3 units up?
Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Explanation:

A) For the function ...

f(x) = mx + b

the vertical translation by k makes the function ...

g(x) = f(x) + k = mx + b + k

This can be rewritten as ...

g(x) = m(x +k/m) +b = f(x+k/m)

That is, the vertical translation by k is equivalent to a horizontal translation by -k/m, where m is the slope of the linear function.

___

B) For a vertical translation of 3, the equivalent horizontal translation is ...

-k/m for k=3

= -3/m . . . . . where m is the slope of the function

_____

Please note that there is no equivalent for m=0.

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Please help <br> I will mark brainlist
Naya [18.7K]

Answer:

B x = sqrt(48)

Step-by-step explanation:

Half of the bottom side measures 4.

4^2 + x^2 = 8^2

16 + x^2 = 64

x^2 = 48

x = sqrt(48)

Answer: B x = sqrt(48)

4 0
3 years ago
What is the area of this triangle?
tigry1 [53]
Answer:
Area = 48.6 in²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)

This rule is illustrated in the attached image.

Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.

Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Pls help (ZOOM IN TO SEE FULL PIC)
Margarita [4]

Answer: 15

Step-by-step explanation:

Lets name the missing point as "x"

8^2 + x^2 = 17^2

=> 64 + x^2 = 289

=> x^2 = 289 - 64

=> x^2 = 225

=> x = 15

4 0
3 years ago
I have $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly
loris [4]

Answer:

-$1000

Step-by-step explanation:

(3800 - x)*3.5/100 = (3800 + x)*6/100

(3800 - x)7/200 = 3/50(3800 + x)

3800 - x = 12/7(3800 + x)

3800 - x = 45600/7 + 12x/7

(19x + 19000)/7 = 0

19x = -19000

x = -$1000.

The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.

3 0
3 years ago
Mei spent $25 on a magazine and some candy bars. If the magazine cost $5 and each candy bar cost $4, then how many candy bars di
Triss [41]
5 because 5+4x5=25 therefore she bought 5 candy bars
7 0
3 years ago
Read 2 more answers
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