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3 years ago

Solve for x. Use the completing the squares method. Round decimals to the nearest tenth. 2x2+16x=−18 (

1 answer:

7 0

To solve by completing square method we proceed as follows:
2x^2+16x=-18
dividing through by 2 we get:
x^2+8x=-9
but
c=(-b/2a)^2
c=(-8/2)=16
hence
x^2+8x+16=-9+16
x^2+8x+16=7
(x+4)(x+4)=7
(x+4)^2=7
thus getting the square root of both sides
x+4=+/-√7
x=-4+/-√7
x=

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Louis is filling two tanks of water in his home. Tank A currently contains 27 gallons and has a hose filling it at

fredd [130]

It will take 13 minutes and 30 seconds for the tanks to have an equal amount of water.

Since Louis is filling two tanks of water in his home, and Tank A currently contains 27 gallons and has a hose filling it at a rate of 3 gallons per minute, while the other tank, Tank B, has 38 gallons and is being filled at a rate of 2 gallons per minute, to determine how many minutes will it take for the tanks to have an equal amount of water, the following calculation must be made:

27/3 = 9
27/2 = 13.5
13.5 = 13 minutes 30 seconds

Therefore, it will take 13 minutes and 30 seconds for the tanks to have an equal amount of water.

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2 years ago

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3 years ago

Read 2 more answers

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mr Goodwill [35]

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3 years ago

Geometry please help!

o-na [289]

Answer:

x = 3

Step-by-step explanation:

Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.

First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.

Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:

1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.

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2 years ago

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime

Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

The complete question is

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

$\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}$