1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
3 years ago
11

H(x)=x2+1 k(x)=x-2 (h-k)(3)

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

<h2>(h-k)(3) = 9</h2>

Step-by-step explanation:

h(x) = x² + 1

k(x) = x - 2

To find (h-k)(3) we must first find (h - k)(x)

To find (h - k)(x) subtract k(x) from h(x)

That's

(h - k)(x) = x² + 1 - ( x - 2)

(h - k)(x) = x² + 1 - x + 2

(h - k)(x) = x² - x + 1 + 2

We have

(h - k)(x) = x² - x + 3

To find (h-k)(3) substitute the value of x that's 3 into (h - k)(x) that's replace every x in (h - k)(x) by 3

We have

(h-k)(3) = (3)² - 3 + 3

= 9 - 3 + 3

= 9 - 0

We have the final answer as

<h3>(h-k)(3) = 9</h3>

Hope this helps you

You might be interested in
The coordinates of the vertices of the triangle shown below are a(2,13), b(10,5) c(12,14).
Luden [163]
(2,13)is the right answer
5 0
3 years ago
Read 2 more answers
What would my answer be?
Svetllana [295]
Since triangle is isosceles, that means that unknown angles are equal. 180-72=108
108:2=54
So you’re answer would be: 54 degrees.
4 0
3 years ago
Find formula of s in terms of a, b, cos(x)
Alecsey [184]

Answer:

\displaystyle s = \frac{2ab\cos x}{a+b}

Step-by-step explanation:

We want to find a formula for <em>s</em> in terms of <em>a, b, </em>and cos(x).

Let the point where <em>s</em> intersects AB be D.

Notice that <em>s</em> bisects ∠C. Then by the Angle Bisector Theorem:

\displaystyle \frac{a}{BD} = \frac{b}{AD}

We can find BD using the Law of Cosines:

\displaystyle BD^2 = a^2 + s^2 - 2as \cos x

Likewise:

\displaystyle AD^2 = b^2+ s^2 - 2bs \cos x

From the first equation, cross-multiply:

bBD = a AD

And square both sides:

b^2 BD^2  =a^2 AD^2

Substitute:

\displaystyle b^2 \left(a^2 + s^2 - 2as \cos x\right) = a^2 \left(b^2 + s^2 - 2bs \cos x\right)

Distribute:

a^2b^2 + b^2s^2 - 2ab^2 s\cos x = a^2b^2 + a^2s^2 - 2a^2 bs\cos x

Simplify:

b^2 s^2 - 2ab^2 s \cos x = a^2 s^2 - 2a^2 b s \cos x

Divide both sides by <em>s </em>(<em>s</em> ≠ 0):

b^2 s -2ab^2 \cos x = a^2 s - 2a^2 b \cos x

Isolate <em>s: </em>

b^2 s - a^2s = -2a^2 b \cos x + 2ab^2 \cos x

Factor:

\displaystyle s (b^2 - a^2) = 2ab^2 \cos x - 2a^2 b \cos x

Therefore:

\displaystyle s = \frac{2ab^2 \cos x - 2a^2 b \cos x}{b^2- a^2}

Factor:

\displaystyle s = \frac{2ab\cos x(b - a)}{(b-a)(b+a)}

Simplify. Therefore:

\displaystyle s = \frac{2ab\cos x}{a+b}

5 0
3 years ago
Can someone help me with this worksheet? Will give all my points.
VashaNatasha [74]

Answer:

Here are the formulas

Cube/Rectangular Prism:

Volume = Length*width*height

Surface area = 2(wl+hl+hw)

Lateral area= Area of vertical faces

Base area = length*width

Regular hexagonal prism:

Volume : (3sqrt3/2)*a^2*h

Surface Area  = 6ah+3sqrt(3)a^2

lateral area: 6ah

base area = 3sqrt(3)s^2/2

Triangular prism

Volume: The volume of a triangular prism can be found by multiplying the base times the height.

Surface area: A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

Etc.

7 0
3 years ago
A total of $3800 is invested into two accounts paying 4% and 7% annual interest. In one year the combined interest on the accoun
Sedaia [141]
To find the money you make, take: 

x(1 (+ or -) % interest rate) * Time


So in this case, it would be:

3800(1+0.04)(1) = Ans
and
3800(1+0.07)(1) = Ans

Assumably, combining those totals would give you $218. If you take the total of 3800(1+0.04)(1), subtract that from $218.

218 - (3800(1+0.04)(1)) = Your Answer
8 0
3 years ago
Other questions:
  • A survey asked a group of students to choose their favorite type of sport from the choices of soccer, softball, basketball, and
    6·2 answers
  • How much dirt is there in a hole 3 feet deep, 6 ft long and 4 ft wide?
    9·2 answers
  • I really need some help.........
    15·1 answer
  • Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8
    13·2 answers
  • MATH HELP!! ASAP!! MARKING BRAINNLIEST
    15·2 answers
  • Simplify<br> 21^6y^5/14x^2y^9
    8·1 answer
  • F(x) = 100 - 4x what is the value of f f(-5)
    13·2 answers
  • How would I find k , L , and M. Giving Brainly
    8·1 answer
  • Find the value of f (3) <br><br> y =f(x)<br><br><br><br> Please help
    10·2 answers
  • Find the greatest common factor and the least common multiple of 16 and 20. The prime factorizations of each number are given.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!