4 years ago

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

Mathematics

2 answers:

Ostrovityanka [42]4 years ago

7 0

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

= 3^2

= 9 (answer)

Citrus2011 [14]4 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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The sum of 4 consecutive integers is 354

gtnhenbr [62]

Answer:

The numbers are 87, 88, 89 and 90.

Step-by-step explanation:

Let the numbers be x, x+1, x+2 and x+3.

x + x +1 + x + 2 + x + 3 = 354

4x + 6 = 354

4x = 348

x = 348 / 4

= 87.

7 0

3 years ago

F(1)=−71<br><br> f(n)=f(n−1)⋅4.2<br><br> Find an explicit formula for f(n).

Vinil7 [7]

Answer:

The explicit formula for f(n) is:

$f(n) = -71 \cdot 4.2^{n-1}$

Step-by-step explanation:

The explicit formula is described by the following geometrical progression:

$f(n) = -71 \cdot 4.2^{n-1}$

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3 years ago

Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equat

____ [38]

Answer:

$9x^2+4y^2=36$

Step-by-step explanation:

We are given that

$x=2cos t$

$y=3 sin t$

$0\leq t\leq 2\pi$

$cost=\frac{x}{2}$

$sint=\frac{y}{3}$

$sin^2 t+cos^2 t=(\frac{x}{2})^2+(\frac{y}{3})^2$

$1=\frac{x^2}{4}+\frac{y^2}{9}$

By using the formula

$sin^2\theta+cos^2\theta=1$

$1=\frac{9x^2+4y^2}{36}$

$9x^2+4y^2=36$

4 0

3 years ago

Margo’s dog, named Todd, weighed 120 pounds last year. She now weighs 180 pounds. What is the percent of change

elixir [45]

Answer:

50%

Step-by-step explanation:

the increase is 60 so divide that by the original number; 60/120=0.5

now we have to change the decimal to a percent. multiply by 100 to do that and we get 50%.

3 0

3 years ago

Read 2 more answers

What are the values of x in the equation 4x2 + 4x - 3 = 0?

9966 [12]

Answer:

x= 0.5

or x= -1.5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2+4x−3=0

Step 1: Factor left side of equation.

(2x−1)(2x+3)=0

Step 2: Set factors equal to 0.

2x−1=0 or 2x+3=0

x= 1/2 or x= −3/2

5 0

3 years ago