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almond37 [142]
3 years ago
10

Factor the expression. k^2 - 18k + 81

Mathematics
2 answers:
Assoli18 [71]3 years ago
6 0
(k-9)(k-9) is the answer :))
mezya [45]3 years ago
5 0

Answer:

The answer is (k-9)(k+9)  

Step-by-step explanation:

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John and Andrew have £3.40 between them. John has £1.20 more than Andrew. John has £u and Andrew £v
Dahasolnce [82]
In the given question, there are several information's of immense importance and they can be used to find the necessary answers. It is already given that John and Andrew have 3.40 pound together. It is also given that John has 1.20 pound more than Andrew. It is also assumed that John has"u" pound and Andrew has "v" pounds.
Then we can write the two equations as
u + v = 3.40
u = v + 1.20
To find the values of u and v, we can replace the u in the first equation with the value of u in the second equation. Then
u + v = 3.40
(v + 1.20) + v = 3.40
2v + 1.20 = 3.40
2v = 3.40 - 1.20
2v = 2.2
v = 2.2/2
  = 1.1
Now we replace the value of v in the first equation to find the value of u.
 u + v = 3.40
u + 1.1 = 3.40
u = 3.40 - 1.1
u = 2.3
6 0
3 years ago
The FDA has established that the concentration of a certain pesticide in apples may not exceed 10 ppb. A random sample of 100 ap
ki77a [65]

Answer:

Step-by-step explanation:

(10.03 - 10)/(.12/sqrt 100) = 2.5

P(Z > 2.5) = .0062

p-value = .0062. The apples are not within the FDA requirement

4 0
3 years ago
If Sarah turns 15 on august 27 and her graduation year is 2024 how old will she be when she graduates high school?
mart [117]

Answer:

She will be 17

Step-by-step explanation:

My sister is like that but she's graduating in 22'

4 0
3 years ago
Read 2 more answers
4.5(8-x) + 36=102-2.5(3x+24)<br> what’s x?
maxonik [38]
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
3 0
3 years ago
Read 2 more answers
Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

8 0
3 years ago
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