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hram777 [196]
2 years ago
7

Finding values or k(x) = x - 2 h(x) = x2 +1 (h + k)(2) =

Mathematics
1 answer:
Serjik [45]2 years ago
5 0

Answer:

<h2>(h + k)(2) = 5</h2>

Step-by-step explanation:

(h+k)(x)=h(x)+k(x)\\\\\bold{METHOD\ 1:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(k+h)(2)=h(2)+k(2)\\\\\text{Calculate}\ h(2)\ \text{and}\ k(2).\\\text{Put}\ x=2\ \text{to the equations of the functions}\\\\h(2)=2^2+1=4+1=5\\k(2)=2-2=0\\\\\text\\\\\text{Substitute:}\\\\(h+k)(2)=5+0=5

\bold{METHOD\ 2:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(h+k)(x)=h(x)+k(x)=(x^2+1)+(x-2)=x^2+x-1\\\\(h+k)(2)-\text{put}\ x=2\\\\(h+k)(2)=2^2+2-1=4+2-1=6-1=5

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A line intersects the points (-14,-10) and (7,5). find the slope of the line and simplify
Tpy6a [65]
The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14

Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7
5 0
3 years ago
(a) Find the remainder when 15! is divided by 17. (b) Find the remainder when 2(26!) is divided by 29, Thatermine whether 17 is
dlinn [17]

Answer:

Step-by-step explanation:

a) We have 15! as the product of 1 to 15 natural numbers.  Since 17 is prime there will be no factor common to these

By actual division we find

15! (mod 17) =16

From this we deduce

even 16! mod 17 = 16 = -1

According to Wilson theorem

(17-1)! = -1 mod 17

Thus verified 17 is prime

Hence 15! (mod 17) =-1=16

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

b) 2(26!) is divided by 29

Since 29 is prime

(29-1)! = -1 mod 29

28! = -1 mod 29 = 28

When divided this gives 25 as remainder

4 0
3 years ago
Please help with this!!!!
sveta [45]

The other angel is also equal to x and the sum of all angels need to be 360:

2x+90+26=360

2x=244

X=122

8 0
3 years ago
Read 2 more answers
PLZ HELP WITH THIS LOVE YOU IF BRAINLIEST
Vsevolod [243]

Domain:

- ∞∞

Interval Notation: (-∞, ∞)

Range:

f(x) < 4

Interval Notation: (-∞, 4)

IT IS THE SECOND ONE

Hope this helps!!!!

8 0
2 years ago
Find the translation rule and the scale factor of the dilation that transforms Ol to Ol'.
lisov135 [29]

Answer:

  C  (x, y) -> (x + 7, y + 8); scale factor = 3

Step-by-step explanation:

The translation can be found by subtracting the coordinates of the original center from those of the center of the image. The scale factor will be the ratio of the radii.

__

<h3>translation</h3>

We note the center coordinates are I(-3, -6) and I'(4, 2). Then the translation is ...

  I' -I = (4, 2) -(-3, -6) = (4 +3, 2 +6) = (7, 8)

  (x, y) ⇒ (x +7, y +8)

<h3>scale factor</h3>

The radius of each circle can be found by counting the grid squares from the center to the circle. It works best to do this along a horizontal or vertical line.

The radius of circle I is 2; the radius of circle I' is 6. The scale factor is ...

  scale factor = 6/2 = 3

4 0
2 years ago
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