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2 years ago

Jane is fencing in her backyard. The yard is a rectangular area where one side

Mathematics

1 answer:

Sedaia [141]2 years ago

4 0

Answer: 2x + 40 = 150

Step-by-step explanation:

Jane has 150 feet of fencing. 40 feet will go for the portion opposite the house, The remaining fencing will go for the two sides of equal length x. That makes 2x for both. So:

2x + 40 = 150

[x = 55 feet]

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

The height $h(t)$ of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation $h(t) = 3 +90\cdot t -16\cdot t^{2}$ , where $t$ is time in seconds. After how many seconds will the ball be 84 feet above the ground.

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

$3+90\cdot t -16\cdot t^{2} = 84$

$16\cdot t^{2}-90\cdot t +81 = 0$ (1)

By Quadratic Formula:

$t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}$

$t_{1} = 4.5\,s$ , $t_{2} = 1.125\,s$

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0

2 years ago

Help? I cannot get my head around it.

sergejj [24]

Answer:

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Step-by-step explanation:

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2 years ago

HELP WILL GIVE BRAIN!!!

postnew [5]

Answer:

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Step-by-step explanation:

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2 years ago

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Solve x2 + 8x − 3 = 0 using the completing-the-square method.

lisabon 2012 [21]

$(a+b)^2=a^2+2ab+b^2\\------------------\\\\x^2+8x-3=0\ \ \ |add\ 3\ to\ both\ sides\\\\x^2+2x\cdot4=3\ \ \ |add\ 4^2\ to\ both\ sides\\\\x^2+2x\cdot4+4^2=3+4^2\\\\(x+4)^2=3+16\\\\(x+4)^2=19\iff x+4=-\sqrt{19}\ or\ x+4=\sqrt{19}\\|subtract\ 4\ from\ both\ sides\\\\\boxed{x=-4-\sqrt{19}\ or\ x=-4+\sqrt{19}}$

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3 years ago

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avery's water bottle holds 300 milliliters. dashawn'scontainer holds 3/4 as much water. how many milliliters of water does dasha

anastassius [24]

You could make this really simple by dividing 300 by 4 to see how much 1/4 of that is and then subtracting 1/4 from 300 to see how much dashawn's water bottle holds.

300/4 =75 so 1/4 is equal to 75 mL

300-75=225mL

Dashawn's water bottle holds 225mL

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3 years ago