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Harlamova29_29 [7]

3 years ago

9

What’s the solution to -5x-y=21 when y is equal to 6+4x

1 answer:

agasfer [191]3 years ago

3 0

Answer:

x= -3, y=-6

Step-by-step explanation:

In the equation -5x-y=21, substitute y for 6+4x:

-5x- (6+4x) = 21

^^Solve for x.

X should come out to -3. To find y, plug -3 into either equation (-5x-y=21 or y=6+4x) and y should equal -6.

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The height of a cone is twice the radius of its base.

amm1812

Answer:

The correct answer is option 1. $\frac{2}{3} \pi x^3$ cubic units.

Step-by-step explanation:

The formula for the volume, V of a right angled cone is given as:

$V = \dfrac{1}{3} \pi r^{2} h ...... (1)$

Where, $\pi = 3.14$

$r$ is the radius of the circular base of the cone.

$h$ is the height of the cone.

We are given that height is twice of the radius of its base.

Let the radius of base = $x$ units

Now, As per the question statement,

The height of cone= $2 \times x$ units

Putting the values of $r, h$ in equation (1) to find the volume:

$\Rightarrow \dfrac{1}{3} \times \pi \times x^{2} \times 2x\\\Rightarrow \dfrac{2}{3}\pi x^{3}$

Hence, the correct answer is option 1. $\dfrac{2}{3}\pi x^{3}$ cubic units.

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3 years ago

A diameter is a line segment joining two points on a circle and passing through the center of a circle.

bija089 [108]

True. Diameter is a line segment joining two points on a circle and passing through the center of the circle.

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3 years ago

Please help solve this math problem

Arte-miy333 [17]

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3 years ago

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3 0

3 years ago

If g(x)=4x-6 then g^-1(x)=?<br> (1) -4x+6<br> (2)-1/4x+1/6<br> (3)1/4x+3/2<br> (4)1/4x+6

kati45 [8]

Given:

$g(x)=4x-6$

To find:

The function $g^{-1}(x)$ .

Solution:

we have,

$g(x)=4x-6$

Put g(x)=y.

$y=4x-6$

Interchange x and y.

$x=4y-6$

Isolate y.

$x+6=4y$

$\dfrac{x+6}{4}=y$

$y=\dfrac{x+6}{4}$

Substitute $y=g^{-1}(x)$ .

$g^{-1}(x)=\dfrac{x+6}{4}$

$g^{-1}(x)=\dfrac{x}{4}+\dfrac{6}{4}$

$g^{-1}(x)=\dfrac{x}{4}+\dfrac{3}{2}$

Therefore, the correct option is (3).

4 0

3 years ago

Read 2 more answers