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Stells [14]
4 years ago
6

Solve the equation: w^2+7w+12=0

Mathematics
1 answer:
polet [3.4K]4 years ago
7 0
Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3  4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3

w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
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Answer:

<h3> the area of the triangle is 9cm²</h3>

Step-by-step explanation:

<u>Question in English</u>

The base of the KOS triangle is 6 cm, and the height lowered on this base is half of it. Calculate the area of ​​the KOS triangle and draw another triangle with the same field. Quick, please!

Given that:

The base is 6 cm

height is half  of the base, 6 / 2 = 3cm

Area of a triangle is

\frac{1}{2} \times base \times height

= \frac{1}{2} \times 6cm \times 3cm \\\\= 3cm \times 3cm\\\\= 9cm^2

<h3>Therefore, the area of the triangle is 9cm²</h3>

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4 years ago
If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made?
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If a diameter intersects a chord of a circle at a perpendicular then the chord is bisected.

<h3>What is the relation between the chord and diameter of a circle?</h3>
  • The segments of a circle whose endpoints are on its perimeter are called chords.
  • A circle's diameter is the chord that passes across its center.
  • The circle's longest chord equals its diameter.
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The solution to the problem:

A circle's chord is intersected perpendicularly by its diameter, which also passes through the center of the circle. The chord and diameter are perpendicular. Any line that is perpendicular to a chord on the circle and passes through its center divides it. The chord is divided equally by the diameter.

Therefore, the chord is bisected.

Learn more about diameter and chord at: brainly.com/question/12934647

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A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and
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Answer:

2.35%

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Standard deviation (S) = 10 months

According to the 68-95-99.7 rule, 95% of the data is comprised within two standard deviations of the mean (39-20 to 39+20 months), while 99.7% of the data is comprised within two standard deviations of the mean (39-30 to 39+30 months).

Therefore, the percentage of cars still in service from 59 to 69 months is:

P_{59\ to\ 69}=\frac{P_{9\ to\ 69}-P_{19\ to\ 59}}{2} \\P_{59\ to\ 69}=\frac{99.7-95}{2}\\P_{59\ to\ 69}=2.35\%

The approximate percentage of cars that remain in service between 59 and 69 months is 2.35%.

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The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,

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<h3>How to write algebraic equation from statement? </h3>

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation from statement-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

Given information-

The given statement is  'sixteen is the same as one and two-tenths times a number added to negative 8'.

The statement given in the problem is talking about a unknown number. Let the unknown number is n.

The number is sixteen is the same as one and two-tenths times a number added to negative 8.

This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,

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Thus the equation can be used to represent the given statement is,

16=1.2n+(-8)

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