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2 years ago

Given points H, I and J and HI = 9,1J = 9 and HJ = 16 . Are the three points collinear?

Mathematics

1 answer:

tiny-mole [99]2 years ago

8 0

Answer:

Yes, the three points are collinear.

Step-by-step explanation:

None.

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WILL GIVE BRAINLIST PLEASE HELP

Harlamova29_29 [7]

Good evening ,

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Answer:

12×11×10×9×8×7= 665 280 ways

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Step-by-step explanation:

The first inquiry has 12 ways

The 2nd inquiry has 11 ways

The 3rd inquiry has 10 ways

The 4th inquiry has 9 ways

The 5th inquiry has 8 ways

The 6th inquiry has 7 ways

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3 years ago

The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe

juin [17]

The height of container is 8 feet

<em><u>Solution:</u></em>

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

<em><u>The volume of container is given as:</u></em>

$v = length \times width \times height$

Given that volume of the container is 216 cubic feet

$216 = l \times w \times h$

Substitute eqn 1 and eqn 2 in above formula

$216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0$

Solve by factoring

$(h-8)(h^2+4h+27) = 0$

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

$h - 8 = 0\\\\h = 8$

Also,

$h^2+4h+27 = 0$

Solve by quadratic equation formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}$

$h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}$

Therefore, on solving we get,

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

<em><u>Thus solutions of "h" are:</u></em>

h = 8

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

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3 years ago

Carly buys a gold ring priced at $273.00 if the sale tax is 10 % , how much will carly pay

Damm [24]

Hello!

<h2>Answer:</h2>

Carla will pay $300.30 for the gold ring.

<h2>Explanation:</h2>

Sales tax is added on to the total cost of the item. We need to figure out how much tax is on the ring.

To do that, we must calculate 10% (or 0.10) of $273.00.

273 × 0.10 = 27.3

Now, add the tax to the cost of the ring.

273 + 27.3 = 300.3

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3 years ago

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A stock-car race lasted 2.07 hours. how many seconds did the race last?

kolezko [41]

$2.07 hr x \frac{60 min}{1 hr} x \frac{60 sec}{1 min} = 7452 sec$

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3 years ago

Using lattice multiplication 45 times 68

Xelga [282]

The answer is 20,730

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3 years ago

Read 2 more answers

Given points H, I and J and HI = 9,1J = 9 and HJ = 16 . Are the three points collinear?​

Given points H, I and J and HI = 9,1J = 9 and HJ = 16 . Are the three points collinear?