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2 years ago

7

Select the correct answer. The square of z varies inversely as the square root of e. If z=36 when w=16, what is the value of z w

hen w=81?
a. 54
b. 24
c. 182 1/4
d. 7 1/9

1 answer:

Sergeu [11.5K]2 years ago

5 0

I believe it is b. 24

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I WILL GIVE BRAINLEST!!! (6 points!)

vlada-n [284]

Answer:

OPTION A: 2x + 3y = 5

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1.

We rewrite the given equation as follows:

2y = 3x + 2

⇒ y = $\frac{3}{2}x + 1$

The general equation of the line is: y = mx + c, where 'm' is the slope of the line.

Here, m = $\frac{3}{2}$ .

Therefore, the slope of the line perpendicular to the line given = $\frac{-2}{3}$ because $\frac{3}{2} \times \frac{-2}{3} = -1$ .

To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:

y - y₁ = m(x - x₁)

The point is: (x₁, y₁) = (-2, 3)

Therefore, the equation is:

y - 3 = $\frac{-2}{3}$ (x + 2) $

⇒ 3y - 9 = -2(x + 2)

⇒ 3y - 9 = -2x - 4

⇒ 2x + 3y = 5 is the required equation.

6 0

3 years ago

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(x-1)(x-3)(x+5)(x+7)=297

mihalych1998 [28]

First simplify the expression into polynomial form,

$(x-1)(x-3)(x+5)(x+7)=297$

$x^4+8x^3-10x^2-104x+105=297$

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Now factor into,

$(x-4)(x+8)(x^2+4x+6)=0$

Which means the solutions are,

$x-4=0\implies\boxed{x_1=4}$

$x+8=0\implies\boxed{x_2=-8}$

and then two complex solutions because determinant of the third factor $D\lt0$ ,

$x^2+4x+6=0$

$x^2+4x+4=-2$

$(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}$

Hope this helps :)

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3 years ago

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A turtle and a snail are 300 feet apart when they start moving towards each other. The turtle is moving at a speed of 5 feet per

choli [55]

Answer:

Step-by-step explanation:

velocity of turtle = 5 feet / min

velocity of snail = - 11 feet / min

By using the formula of relative velcoity

the velocity of turtle with respect to snail is

V' = velocity of turtle - velocity of snail

V' = 5 - (- 11)

V' = 16 feet / min

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2 years ago

Is it A or C?!?!??!! Please help

julia-pushkina [17]

Answer:

A

Step-by-step explanation:

Ur answer is A for the above question

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3 years ago

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Determine the 8th term in the geometric sequence whose first term is -10 and whose common ratio is 2

enyata [817]

$\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-10\\
r=2\\
n=8
\end{cases}
\\\\\\
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\\\\\\
a_8=-10\cdot 128\implies a_8=-1280$

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3 years ago