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3 years ago

Find the value of n such that x2-10x+n is a perfect square trinomial.

2 answers:

mihalych1998 [28]3 years ago

7 0

The answer is the last option (Option D), which is:

D. 25

The explanation is shown below:

1. You have that:

(a ± b)^2=a^2 <span>± 2ab + b^2

2. The expression given in the problem is:

</span><span>x^2-10x+n

Where x^2=a and 2ab=10x

2b=10
b=10/2
b=5

3. Therefore, you have:

b^2=5
b^2=25

b^2=n
n=25</span>

sleet_krkn [62]3 years ago

3 0

Answer:

the answer is 25!!

Step-by-step explanation:

I hope this is helpful to sum of y'all!!

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Identify the ordered pair that represents the vector from a(-9,9) to b(7,3) and the magnitude of ab.

sveta [45]

Answer:

Answers below

Step-by-step explanation:

1. Order pair method

[(x2-x1) , (y2-y1)] = b-a = [(7--9) , (3-9)] = (16,-6)

2. Magnitude

|v| = $\sqrt{16^2+-6^2}$

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3 years ago

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The cost of 28 pounds horse feed is 63.28 what is the per pound of horse feed

Bas_tet [7]

$2.26 pounds of horse feed

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3 years ago

In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10

DochEvi [55]

9514 1404 393

Answer:

55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

n/sin(N) = p/sin(P)

n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

n ≈ 542.246913 . . . . inches

The angle O is ...

O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

A = 1/2·np·sin(O)

A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

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3 years ago

Explain how you can use the distributive property to solve 9x6

lbvjy [14]

Answer:

(4+5)+(3+3) because you have eto break up the numbers

7 0

3 years ago

9x+2y-27z=-155 -11x-y+37z=208 19x+6y-52z=-304

Paladinen [302]

Answer:

(x,y,z)=( -2, -1 ,5)

Step-by-step explanation:

9x+2y-27z=-155 (1)

-11x-y+37z=208 (2)

19x+6y-52z=-304 (3)

(1) *3 ;(2) *6 ;(3)*1, you have

27x+6y-81z=-465 (1)

-66x-6y+222z=1248 (2)

19z+6y-52z=-304 (3)

(1) +(2), you have

-39x+141z= 783 (4)

(4) /3, you have

-13x +47z=261 (4)

(2) +(3), you have

-47x+170z=944 (5)

From ( 4) and (5), you have equations

-13x +47z=261 (4)

-47x+170z=944 (5)

(4)*(-47); (5)*13, you have

611x-2209z=-12,267 (4)

-611x+2210z=12,272 (5)

(4)+(5), you have

z=5

Replace z=5 in (4), you have

611x- 2209*5=-12,267

611x- 11,045 =-12,267

611x=-1222

x= -2

Replace x=-2, z=5 in (1) , you have

9*(-2) +2y -27*5=-155

-18+2y-135=-155

-18+2y=-20

2y=-2

y=-1

Result (x,y,z)=( -2, -1 ,5)

3 0

3 years ago