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Alisiya [41]
3 years ago
12

What’s different about solving inequalities when you have to multiply or divide by a negative number? Can you explain why a spec

ial rule needs to be applied?
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0
Alright, let's take an example. 1 is less than 2, so we can write it as 1<2. However, if we multiplied both sides by -1 without changing anything else, we get -1<-2, but -1 is greater than -2 because it is less negative, so the correct way of writing it would be -1>-2. Therefore, since a number that is less positive than another becomes less negative (and therefore higher) when both are multiplied by -1, we have to change the side of the inequality
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Leslie and Daniel plan to put an above-ground pool in the backyard of their new home. The backyard is rectangular, 30 feet by 50
Brut [27]
1047.84ft² is not covered by the pool.
Find the area of the yard covered by pull using the area of a circle formula (the height is irrelevant in this case). If the diameter of the pool is 24 feet, its radius is 12 (half of the diameter)

A = 3.14r^2
A =3.14(144)
A = 452.16 ft²

Subtract the area of the pool from the area of the yard to get the area of the yard that is not covered by the pool. If the dimensions of the yard are 30ft by 50ft, you multiply them to get the area: 1500ft²

Total yard area: 1,500ft²
Area of yard without pool: 1,500ft² - 452.16ft² = 1047.84ft²
4 0
3 years ago
The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the
sukhopar [10]

Answer:

  58.1 cm

Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

__

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

  c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

  30² = 7.5 +b²

  b² = 900 -56.25 = 843.75

  b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

  rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.

7 0
1 year ago
HELP NOW! 20 POINTS!
ELEN [110]
I believe the answer is D.

No, it is not a proportional relationship because the graph does not go through the origin.

4 0
2 years ago
In the following expression, n is a rational number: Which expression below is equivalent to this expression?
gogolik [260]

Answer:

none of them

Step-by-step explanation:

7 0
11 months ago
4z^3-3z^5+2z^4+z+1 please solve this question please! ​
lbvjy [14]

SOLUTION

TO DETERMINE

The degree of the polynomial

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

EVALUATION

Here the given polynomial is

In the above polynomial variable is z

The highest power of its variable ( z ) that appears with nonzero coefficient is 5

Hence the degree of the polynomial is 5

FINAL ANSWER

The degree of the polynomial is 5

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Find the degree of 2020?

brainly.in/question/25939171

2. Write the degree of the given polynomial: 5x³+4x²+7x

4 0
3 years ago
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