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3 years ago

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A rectangular field is three times as long as it is wide. If the perimeter of the field is 400 feet, what are the dimensions of

the field

1 answer:

ArbitrLikvidat [17]3 years ago

8 0

Answer:

L=150 W=50

Step-by-step explanation:

150 is 3 times 50, 150+150+50+50 is 400

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Use factoring to solve the quadratic equation x2 − 2x − 3 = 12.

melomori [17]

Answer:

$x_1=5\\x_2=-3$

Step-by-step explanation:

You have the following quadratic equation given in the problem:

$x^{2}-2x-3=12$

You must make the equation equal to zero, as following:

$x^{2}-2x-3-12=0$

Add like terms:

$x^{2}-2x-15=0$

Now, to factor the equation, you must find two numbers whose sum is -2 and whose product is -15. Therefore, you have:

$(x-5)(x+3)=0\\x_1=5\\x_2=-3$

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. −6y2 − 9y = −1

Tomtit [17]

$-6y^2 - 9y = -1$

$y= \dfrac{-9+ \sqrt{9^2-4*-6} }{2*6}, \dfrac{-9-\sqrt{9^2-4*-6}}{2*6}$

$y= \dfrac{-9+ \sqrt{105} }{12}, \dfrac{-9- \sqrt{105} }{12}$

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3 years ago

A line is subdivided according to the golden ratio, with the smaller piece having a length of 8 meters. What is the length of th

maks197457 [2]

Answer:

the entire length is 202.25 or 203 when rounded to the nearest number.

Step-by-step explanation:

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3 years ago

Which answer choice is a solution to the inequality 1.5x + 3.75≥5.5

djyliett [7]

Answer:

$x \geq \frac{7}{6}$

The value of x is greater than or equal to 7/6

Step-by-step explanation:

$1.5x + 3.75\geq 5.5$

Solve the inequality for x

Subtract 3.75 from both sides

$1.5x + 3.75\geq 5.5$

$1.5x \geq 1.75$

Now divide both sides by 1.5

$x \geq \frac{1.75}{1.5}$

Simplify the fraction by dividing top and bottom by 0.25

$x \geq \frac{7}{6}$

The value of x is greater than or equal to 7/6

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Find m < BCS if m< BCD = 174 and m< SCD = 150

Kitty [74]

∠SCD =150 and ∠BCD=174 (Given)

∠BCS + ∠SCD = ∠BCD (Segment Addition Postulate)

∠BCS + 150 = 174 (Substitution)

∠BCS = 24 (Subtraction Property of Equality)

Answer: 24

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3 years ago