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Alenkasestr [34]
3 years ago
9

Factor the expression below x^2-16x+64

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

x^2+16x+64 is a perfect square

that is (x+a)^2=x^2+2ax+a^2

compare the coefficients of the x term

--> 2a=16 --> a=8

---> x^2+16a+64=(x+8)^2

plz mark me as brainliest :)

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Suppose you just received a shipment of twelve televisions. Three of the televisions are defective. If two televisions are rando
qwelly [4]

Answer: The probability that both televisions work is 0.5625 .

The probability at least one of the two televisions does not​ work is 0.4375.

Step-by-step explanation:

Given : Number of televisions received in shipment= 12

Number of defective televisions received in shipment= 3

Then proportion of defective televisions =\dfrac{3}{12}=0.25

Using binomial probability formula, the probability of getting success in x trials is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}

If two televisions are randomly​ selected, then the probability that both televisions work will be :-

P(0)=^2C_0(0.25)^0(0.75)^2=(0.75)^2=0.5625

The probability at least one of the two televisions does not​ work will be :-

P(x\geq1)=1-P(0)=1-0.5625=0.4375

6 0
3 years ago
How to write the expression 5 more than 2 times the value of n​
galina1969 [7]
Answer = 2 plus 5 times n
6 0
3 years ago
GIVEN: LJ || WK || AP, PL || AG.
galina1969 [7]

Answer:

∠1 ≅ ∠2 ⇒ proved down

Step-by-step explanation:

#12

In the given figure

∵ LJ // WK

∵ LP is a transversal

∵ ∠1 and ∠KWP are corresponding angles

∵ The corresponding angles are equal in measures

∴ m∠1 = m∠KWP

∴ ∠1 ≅ ∠KWP ⇒ (1)

∵ WK // AP

∵ WP is a transversal

∵ ∠KWP and ∠WPA are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠KWP = m∠WPA

∴ ∠KWP ≅ ∠WPA ⇒ (2)

→ From (1) and (2)

∵ ∠1 and ∠WPA are congruent to ∠KWP

∴ ∠1 and ∠WPA are congruent

∴ ∠1 ≅ ∠WPA ⇒ (3)

∵ WP // AG

∵ AP is a transversal

∵ ∠WPA and ∠2 are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠WPA = m∠2

∴ ∠WPA ≅ ∠2 ⇒ (4)

→ From (3) and (4)

∵ ∠1 and ∠2 are congruent to ∠WPA

∴ ∠1 and ∠2 are congruent

∴ ∠1 ≅ ∠2 ⇒ proved

8 0
3 years ago
Can someone show me how to do this?
andriy [413]
3/4 ( (-50+2)/5)
= 3/4 ( -48/5)
= 3/4 * -48/5
= -36/5
6 0
3 years ago
If the diameter of a sphere is 1 meter, then what is its surface area? Leave your answer in terms of π= 3.14
umka21 [38]

surface area = 4 x pi x r^2

 diameter = 1 so radius = 1/2 = 0.5

4 x 3.14 x 0.5^2 = 3.14 meters^2

3 0
3 years ago
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