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3 years ago

What is the value of x?2367

Mathematics

1 answer:

Alex777 [14]3 years ago

4 0

Answer:

$x = 2$

Step-by-step explanation:

Using the property of two secants segments to a circle, we have that:

$EB * EA = EC * ED$

$(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)$

$(x + 1)(x + 12) = (x + 4)(x + 5)$

$x^2 + 13x + 12 = x^2 + 9x + 20$

$13x + 12 =9x + 20$

$13x - 9x = 20 - 12$

$4x = 8$

$x = 2$

So the value of x is 2

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2 years ago

Write the quadratic equation whose roots are -3 and 2 , and whose leading coefficient is 5

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Step-by-step explanation:

Since, roots are - 3 & 2

Therefore, (x + 3) & (x - 2) would be factors.

Leading coefficient is 5

Hence, required quadratic equation is:

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3 years ago

What is (9,+9)0-2 and 158932x738995

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Answer:

117,449,953,338.

Step-by-step explanation:

(9,+9)0-2 = 0 - 2

= -2.

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3 years ago

At a ski resort, 1/4 of the 300 skiers are beginners, and 1/4 of the 260 snowboarders are beginners. The resort staff used the d

Evgen [1.6K]

$\frac{1}{4}(300 + 260) = \frac{1}{4} \times 300 + \frac{1}{4} \times 260$ is the expression that demonstrates the distributive property

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

Given that,

At a ski resort, $\frac{1}{4}$ of the 300 skiers are beginners

$\frac{1}{4}$ of the 260 snowboarders are beginners

The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes

Beginners in skiers = $\frac{1}{4}$ of the 300

Beginners in snowboarders = $\frac{1}{4}$ of the 260

Total number of beginners = Beginners in skiers + Beginners in snowboarders

$\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)$

We have to use distributive property

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

<em><u>Therefore, our expression is:</u></em>

$\frac{1}{4}(300) + \frac{1}{4}(260)$

We have to take $\frac{1}{4}$ as common term to get distributive property

$\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300 + 260)\\\\\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)$

Thus distributive property is applied

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3 years ago

Which could be the area of a face of the rectangular prism? A rectangular prism with a length of 3 meters, width of 4 meters, an

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Answer:

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Because the question asks for the area of a face but it doesn't indicate which face then it can be any of the faces.

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In your case one of the possible answers is 6m² - so that is the one they are looking for.

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3 years ago

What is the value of x?2367​

What is the value of x?2367