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3 years ago

What value of c makes x^2+6+c a perfect square trinomial ?

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

7 0

c = (1/2(6))^2

= 3^2

= 9 (answer)

Citrus2011 [14]3 years ago

6 0

According to this, then:

6x = 2*sqrt(c)*x

6 = 2*sqrt(c)

3 = sqrt(c)

c = 3^2 = 9

Hope this helps!

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A 6m ladder leans against a wall. The bottom of the ladder is 1.3m from the wall at time =0sec and slides away from the wall at

icang [17]

Answer:

- 0.100

Step-by-step explanation:

Length of the ladder, H = 6 m

Distance at the bottom from the wall, B = 1.3 m

Let the distance of top of the ladder from the bottom at the wall is P

Thus,

from Pythagoras theorem,

B² + P² = H² .

B² + P² = 6² ..............(1) [Since length of the ladder remains constant]

at B = 1.3 m

1.3² + P² = 6²

P² = 36 - 1.69

P² = 34.31

P = 5.857

Now,

differentiating (1)

$2B(\frac{dB}{dt})+2P(\frac{dP}{dt})=0$

at t = 2 seconds

change in B = 0.3 × 2= 0.6 ft

Thus,

at 2 seconds

B = 1.3 + 0.6 = 1.9 m

therefore,

1.9² + P² = 6²

P = 5.69 m

on substituting the given values,

2(1.9)(0.3) + 2(5.69) × $(\frac{dP}{dt})$ = 0

1.14 + 11.38 × $(\frac{dP}{dt})$ = 0

11.38 × $(\frac{dP}{dt})$ = - 1.14

$(\frac{dP}{dt})$ = - 0.100

here, negative sign means that the velocity is in downward direction as upward is positive

5 0

3 years ago

June bought 3 1 2 312 gallons of white paint at $17.50 per gallon and 1 3 4 134 gallons of blue paint at $19.00 per gallo

algol [13]

312* 17.5= 5460.00

134*19=2546

2546+5460= $8,006.00

5 0

3 years ago

Kết quả của phép tính : 2(x+1) là?

Gwar [14]

Answer:

2x + 2 is your using distributive property

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Simplify 5+2i/6+i

nlexa [21]

Given problem is $\frac{(5+2i)}{(6+i)}$

To simplify that we need to multiply and divide by conjugate of the denominator

conjugate of denominator 6+i will be 6-i as we just need to change sign of the imaginary part

Now multiply and divide by 6-i

$=\frac{(5+2i)}{(6+i)}\cdot\frac{(6-i)}{(6-i)}$

$=\frac{30-5i+12i-2i^2}{36-6i+6i-i^2}$

$=\frac{30+7i-2i^2}{36-i^2}$

$=\frac{30+7i-2\left(-1\right)}{36-\left(-1\right)}$

$=\frac{30+7i+2}{36+1}$

$=\frac{32+7i}{37}$

$=\frac{32}{37}+\frac{7}{37}i$

Hence final answer is $\frac{32}{37}+\frac{7}{37}i$

3 0

2 years ago

Honestly this school stuff really draining me i got exams for math but my teachers never teach me nothing now i'm going to fail

denis-greek [22]

Answer:

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5 0

2 years ago