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2 years ago

Factor & Finding Zeros x^{2} +12x+35=0

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

8 0

Answer:

x = - 7, x = - 5

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)

The factors are + 7 and + 5, since

7 × 5 = 35 and 7 + 5 = 12, hence

x² + 12x + 35 = 0 ← in standard form

(x + 7)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 5 = 0 ⇒ x = - 5

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2 years ago

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Maru [420]

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2 years ago

1) At a store, 40% of all the refrigerators are silver. There are 50 silver

olga nikolaevna [1]

There are 125 refrigerators in total.

Explanation:

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2 years ago

ben is filling up his cylinder shaped pool up to 80% of its capacity . If his is 6 feet deep and has a diameter of 18 feet, how

Nady [450]

Answer:

You will put 1220.83ft³ of water in the pool

Step-by-step explanation:

First of all we have to calculate the volume of the pool and then calculate 80% of that volume

radius = half of diameter

d = 18ft

r = 18ft / 2 = 9ft

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 6ft

π = 3.14

r = radius = 9ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (9ft)²) * 6ft

v = (3.14 * 81ft²) * 6ft

v = 254.34ft² * 6ft

v = 1526.04ft³

The volume of the cylinder is 1526.04ft³

If it is filled to 80% then we have to multiply the volume by 80/100

1526.04ft³ * 80/100 = 1220.83ft³

You will put 1220.83ft³ of water in the pool

8 0

2 years ago

I, so confused please help me asap!

Tamiku [17]

Quadrilaterals are plane shapes that are bounded by four straight sides. Thus, the required answers to the questions are:

46. True. Other examples include kites, rhombus, etc.

47. False.

46. When a plane shape is bounded by four straight sides of equal or different lengths, it is called a quadrilateral. Examples include trapezium, kite, rhombus, rectangle, square, etc. Each of these examples has individual properties.

Thus the required answer to question 46 is; True. It can be observed that with respect to their individual properties, other quadrilaterals which have a pair of opposite angles to be equal include: kite, rectangle, rhombus, etc.

47. A ray segment is a given line that points or heads in a specific direction. So that the direction in which the ray moves is very important.

Thus in the given question, the required answer is; False. This is because the two given rays are moving in opposite directions. Though the two rays may have the same length of the segment.

For more clarifications on the properties of quadrilaterals, visit: brainly.com/question/21774206

#SPJ 1

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1 year ago