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VladimirAG [237]

2 years ago

7

2(x + 4) = 4x + 3 - 2x + 5

1 answer:

Brums [2.3K]2 years ago

6 0

Answer:

Assuming you're asking for the value of x, the answer would be 4.

Step-by-step explanation:

2(4 + 4)

2(8) = <u>16</u>

4(4) + 3 - 2(4) + 5

4 * 4 = 16

2 * 4 = 8

16 + 3 - 8 + 5

16 + 3 = 19

19 - 8 = 11

11 + 5 = <u>16</u>

16 = 16

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Find the center, vertices, and foci for the ellipse 25x^2+64y^2=1600

Ronch [10]

Answer:

Step-by-step explanation:

Answer:

Data

Equation 25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

3.- Find a, b and c

a² = 64 a = 8

b² = 25 b = 5

-Calculate c with the Pythagorean theorem

a² = b² + c²

-Solve for c

c² = a² - b²

-Substitution

c² = 8² - 5²

-Simplification

c² = 64 - 25

c² = 39

-Result

c = √13

4.- Find the center

C = (0, 0)

5.- Find the vertices

V1 = (-8, 0) V2 = (8, 0)

6.- Find the foci

F1 = (-√13, 0) F2 = (√13, 0)

4 0

3 years ago

Read 2 more answers

There are two mystery numbers. The sum of 7 times the first number and 5 times the second number is -11. The sum of 10 times the

AlekseyPX

First is 2, second is -5

8 0

3 years ago

If f(x)f(x) is an exponential function where f(-0.5)=27f(−0.5)=27 and f(1.5)=21f(1.5)=21, then find the value of f(0.5)f(0.5), t

vovikov84 [41]

Given:

f(x) is an exponential function.

$f(-0.5)=27$

$f(1.5)=21$

To find:

The value of f(0.5), to the nearest hundredth.

Solution:

The general exponential function is

$f(x)=ab^x$

For, x=-0.5,

$f(-0.5)=ab^{-0.5}$

$27=ab^{-0.5}$ ...(i)

For, x=1.5,

$f(1.5)=ab^{1.5}$

$21=ab^{1.5}$ ...(ii)

Divide (ii) by (i).

$\dfrac{21}{27}=\dfrac{ab^{1.5}}{ab^{-0.5}}$

$\dfrac{7}{9}=b^2$

Taking square root on both sides, we get

$\dfrac{\sqrt{7}}{3}=b$

$b\approx 0.882$

Putting b=0.882 in (i), we get

$27=a(0.882)^{-0.5}$

$27=a(1.0648)$

$\dfrac{27}{1.0648}=a$

$a\approx 25.357$

Now, the required function is

$f(x)=25.357(0.882)^x$

Putting x=0.5, we get

$f(0.5)=25.357(0.882)^{0.5}$

$f(0.5)=23.81399$

$f(0.5)\approx 23.81$

Therefore, the value of f(0.5) is 23.81.

6 0

3 years ago

Find an equation for the plane containing the point (1, 2, 3) and parallel to the plane x 2y 3z

sergeinik [125]

Answer:

Step-by-step explanation:

Heres the full question and solution:

Find an equation for the plane containing the point (1,2,3) and parallel to the plane x+2y+3z=5.

solution

Any plane parallel to $x+2y+3z=5$ is $x+2y+3z=d
$

since the plane is passing through $(1,2,3)$

we substitute point in equation

$1+2\times 2+3\times 3=d\\d=14
\\x+2y+3z=14$

equation of the line is $x+2y+3z=14$

4 0

3 years ago

vitfil [10]

Answer:

Step-by-step explanation:

Hope this helps u!!

4 0

2 years ago