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3 years ago

The vertex of this parabola is at (4, -3). When the x-value is 5, the

1 answer:

3 0

Parabola equation with a vertex at (h, k) is given by y = a(x - h)^2 + k
For the give parabola, y = a(x - 4)^2 - 3
y = a(x^2 - 8x + 16) - 3
At (5, -6)
-6 = a((5)^2 - 8(5) + 16) - 3 = a(25 - 40 + 16) - 3 = a - 3
a = -6 + 3 = -3

Therefore, the coefficient of the squared expression is -3.

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What is the volume of this oblique cone? 432π cm³ 324π cm³ 288π cm³ 144π cm³ Oblique cone with a radius of 10 centimeters

yawa3891 [41]

Volume of oblique cone is same as regular cone. The volume of the given oblique cone is 533.33 π cm³.

<h3>What is oblique cone?</h3>

Oblique cone is the cone the in which the vertex is not at the center of the base of cone.

The volume of the oblique cone is same as the volume of regular cone. The volume of oblique cone can be given as,

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

Here, $r$ is radius of the base of oblique cone and $h$ is the height.

Given information-

The radius of the oblique cone is 10 cm.

The height of the oblique cone is 16 cm.

The image of oblique cone is attached below.

As the radius of the oblique cone is 10 cm and the height of the oblique cone is 16 cm.

Thus plug in the values in the formula of oblique cone as,

$V=\dfrac{1}{3}\pi (10)^2\times16$

Simplify it further as,

$V=\dfrac{1}{3}\pi (100)\times16\\V=533.33\pi$

Thus the volume of the given oblique cone is 533.33 π cm³.

Learn more about the oblique cone here;

brainly.com/question/2054073

6 0

2 years ago

Solve the proportion below. 7/x=19

alexgriva [62]

Answer:

The value of x is approximately 0.3684.

Step-by-step explanation:

Given:

$\frac{7}x}=19$

We need to solve the proportion.

Solution:

Now we can see that;

In given equation one number is fraction and other number is whole number.

Now To make whole number into fraction we will divide by 1.

hence the whole number will be equal to;

$19=\frac{19}{1}$

Now the new equation will be;

$\frac{7}{x}=\frac{19}{1}$

Now by cross multiplication we get;

$7\times1=19\times x\\\\7=19x$

Now dividing both side by 19 we get;

$\frac{7}{19}=\frac{19x}{19}\\\\x\approx0.3684$

Hence the value of x is approximately 0.3684.

6 0

4 years ago

Need help with translation

sergij07 [2.7K]

Answer:

The translation rule will be: (x, y) → (x+3, y+9)

Step-by-step explanation:

As X'Y' is a translation of XY.

As the location of the vertix X is (-4, -9) and the coordinates of vertex Y is (-5, -5).

As X'Y' be the vertices of the translated figure.

So, if we translate the segment XY +3 units in the x-direction and +9 units in the y-direction, i.e.

(x, y) → (x+3, y+9) = (-4+3, -9+9) = (-1, 0) = X'

and

(x, y) → (x+3, y+9) = (-5+3, -5+9) = (-2, 4) = Y'

so, the image X'Y' will have the X' vertice at the location (-1, 0) and Y' vertice at the location (-2, 4).

Therefore, the translation rule will be: (x, y) → (x+3, y+9)

6 0

3 years ago

Can some help me for number 25 where it says Evaluate this simplified polynomial for a=4 and b =-1. I don't understand it correc

Valentin [98]

Hey man, we’ll first of all you just need to substitute the value of a=4 and b=-1 into the equation and you’ll get your answer. Don’t worry I’ll show you an answer.

8 0

3 years ago

Read 2 more answers

What is 103.468 round to the nearest thousand

sergey [27]

THOUSAND or thousandTH?

4 0

4 years ago