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Masteriza [31]
3 years ago
6

Given g(x) = f(x) + k. Identify a value of k that transforms finto g. Round your answer to the nearest integer. g 2 X - 14 -2 O

2 2 f k =​
Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Answer:

  • k = -5

Step-by-step explanation:

We can see the lines are parallel

The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)

If f(x) = mx + 2, then g(x) = mx - 3

<u>The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:</u>

  • g(x) = f(x) + k
  • k = g(x) - f(x)
  • k = (mx - 3) - (mx + 2)
  • k = -3 - 2
  • k =  -5

So the answer is k = -5

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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
Could someone help me with math? *spam answers not tolerated* THANKS WILL GIVE BRAINLIEST if you have an explanation! Thanks in
Andru [333]

Answer:

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Step-by-step explanation:

ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence (). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get ). If we take 24 and divide it by 16, we get the common ratio of 3/2 (, ).

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Sharon read a 300-page book. She read at a rate of 15 pages per day in d <br> days.
faust18 [17]
300/15 = d 

I hope this helps!
8 0
3 years ago
(3ab+2c)^3 what is the answer
svet-max [94.6K]

Answer:

=27a^3b^3+54a^2b^2c+36abc^2+8c^3

Step-by-step explanation:

(3ab+2c)^3

=(3ab+2c) × (3ab+2c) ×

=(3ab+2c)(9a^2b^2+12abc+4c^2)

=(3ab)(9a^2b^2)+(3ab)(12abc)+(3ab)(4c^2)+(2c)(9a^2b^2)+(2c)(12abc)+(2c)(4c^2)

=27a^3b^3+36a^2b^2c+12abc^2+18a^2b^2c+24abc^2+8c^3

=27a^3b^3+54a^2b^2c+36abc^2+8c^3

<em>hope this helps....</em>

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