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Art [367]
2 years ago
15

Simplify - root (9+y)^2 if y <-10

Mathematics
1 answer:
nevsk [136]2 years ago
6 0

Answer:

− √ ( 9 + y ) 2 > 1

Explanation:

− √ ( 9 + y ) 2 , where  y < − 10

Simplify the expression,

− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y

When  y < − 10 , − y > 10

Subtract  9  from both sides,

− 9 − y > 1  Hence,

− √ ( 9 + y ) 2 > 1

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A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand for
ira [324]

Answer:

1256 cubic yards of sand.

Step-by-step explanation:

In this question we have to find the volume of cone formed by sand.

Height of the cone is = 36 feet

Radius of the cone = 60/2 =30 feet.

Now we know the formula of volume of cone v = π r² (h/3)

By putting the values of r and h we can get the volume of sand to spread.

Volume = π×(30)²×(36/3) = 3.14×900×12 feet³

              = 33912 feet³

Now we will convert feet³ to cubic yards

Since 1 cubic feet = .037037 cubic yards

therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.

So the answer is 1256 cubic yards of sand has the department received.

5 0
3 years ago
Use the GCF and distribute property to express the sum as a product 20+60
kenny6666 [7]
20(1+3)

The greatest common factor between the two numbers is 20, because both numbers are divisible by 20. It cannot be any higher because 20 is one of the numbers itself. You divide this out of both numbers and put it outside the function with the use of parenthesis. 
8 0
3 years ago
6. Josh has a $250 gift card to Under Armour.
Komok [63]

Answer:

x=10  (22.5x+6.50=250)

Step-by-step explanation:

6 0
2 years ago
How does f(x) = 5x change over the interval from x = 7 to x = 8?
hichkok12 [17]

Answer:

the slope is 5

Step-by-step explanation:

f(x) = 5x

f(8) = 5(8) = 40    (8,40)

f(7) = 5*7 = 35 (  7,35)

the slope is 5


4 0
3 years ago
Read 2 more answers
Which of the following are like terms?
SVETLANKA909090 [29]

Answer: D) 13y^25 and 2y^25

Like terms involve the same variables, and each of those variables must have the same exponents.

Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.

5 0
3 years ago
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