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3 years ago

Make A the subject of the formula r=1 А 3

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Step-by-step explanation:

$r = \sqrt{ \frac{А}{3} }$

${r}^{2} = \frac{А}{3}$

$А = 3{r}^{2}$

HOPE IT HELPS YA

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Give three rational numbers between -2 and -1

Liono4ka [1.6K]

Answer:

-1.9, -1.8, and -1.7 (answers will vary)

Step-by-step explanation:

Since you have to pick a rational number that is between -2 and -1 there is an infinite options you can choose from. A rational number is a number that can be written as a fraction so you could choose a number like -1.0000000000000000000000001 and 1.999999999999999999999999.

7 0

4 years ago

PLZ HELP IM 100% LOST ON THIS

xenn [34]

The equation $f(x)=g(x)$ is

$|x-4|-11=-\sqrt{5x}$

Some observations:

$\sqrt{5x}$ is defined only as long as $5x\ge0$ , or $x\ge0$
wherever $\sqrt{5x}$ is defined, its value must be non-negative, so that $-\sqrt{5x}$ is never positive
by the definition of absolute value, we have $|x-4|=x-4$ if $x\ge4$ , and $|x-4|=-(x-4)=4-x$ if $x$ . Then

$|x-4|-11=\begin{cases}x-15&\text{for }x\ge4\\-x-7&\text{for }x$

If $x$ , the equation becomes

$-x-7=-\sqrt{5x}\implies x+7=\sqrt{5x}$

Taking the square of both sides gives

$(x+7)^2=\left(\sqrt{5x}\right)^2\implies x^2+14x+49=5x\implies x^2+9x+49=0$

but since the discriminant is $9^2-4\cdot1\cdot49$ , there are no real solutions.

If $x\ge4$ , then

$x-15=-\sqrt{5x}$

Taking squares gives

$(x-15)^2=\left(-\sqrt{5x}\right)^2\implies x^2-30x+225=5x$

and solving by the quadratic formula gives two potential solutions,

$x=\dfrac{35\pm5\sqrt{13}}2$

which have approximate values of 8.49 and 26.51.

We know for any value of $x$ that $g(x)\le0$ . We have $f(8.49)\approx-6.51$ and $f(26.51)\approx11.51$ , so only the first solution 8.49 is valid.

8 0

3 years ago

45pts help! what are the solutions of this quadratic equation? -3x^2+1=3x-2

disa [49]

i think B good luck

6 0

3 years ago

Read 2 more answers

Hurry!!!! I need help

sveta [45]

50 honestly have no clue sorry

8 0

3 years ago

Read 2 more answers

Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet. The temperature of the gaseous plan

vladimir1956 [14]

Answer:

its 450 k

Step-by-step explanation:

It is given that the temperature of the gaseous planet is linearly related with height of the atmosphere. we can write this in the mathematical equation:

y = m x +c

where y is the temperature values, x is height, m is the slope and c is the y-intercept. we have been given two sets of value in the image, using which we can find the value of slope in y-intercept.

at x = 18.40 km, y = 147.54 K

⇒147.54 = 18.40 m + c

⇒c = 147.54 - 18.40 m ..(1)

at x =78.11 km, y = 567.00 K

⇒567.00 =78.11 m + c ..(2)

Put equation 1 in 2 and solve:

⇒567.00 =78.11 m + 147.54 - 18.40 m

⇒419.46 = 59.71 m

⇒ m =419.46 ÷59.71 = 7.025 K/km

c = 147.54 - 18.40 × 7.025 = 18.28 K

At height, x = 61.5 km the approximate temperature is :

y = 7.025 K/km × 61.5 km + 18.28 K = 450.3 K

Thus, the approximate temperature at altitude 61.5 km is 450 K.

7 0

4 years ago