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VikaD [51]
3 years ago
13

Describe how you use the properties of multiplication to find the product.

Mathematics
1 answer:
tester [92]3 years ago
5 0

Answer: Use distributive property

Step-by-step explanation:

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What is the equation of the line that passes through the point (-6, -6) and has a<br> slope of - 1/3
pickupchik [31]

Answer:

The equation of the line is y = -\frac{1}{3}x - 8

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that m = -\frac{1}{3}

So

y = -\frac{1}{3}x + b

Through the point (-6, -6)

This means that when x = -6, y = -6. So

y = -\frac{1}{3}x + b

-6 = -\frac{1}{3}(-6) + b

b + 2 = -6

b = -8

The equation of the line is y = -\frac{1}{3}x - 8

5 0
3 years ago
If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0
3 years ago
F(x)= 20 + 12(x - 2)​
Vinvika [58]

Answer:

f(x) = 12x - 4

Step-by-step explanation:

f(x)= 20 + 12(x - 2)​

Distribute

f(x) =20 +12x - 24

Combine like terms

f(x) = 12x+20-24

f(x) = 12x - 4

4 0
3 years ago
Read 2 more answers
Draw a rhombus that is not a square. Label the lengths of its sides and its height so it represents a rhombus with an area of 20
Tcecarenko [31]

Answer:

          /\

\sqrt{20} /     \\sqrt{20}

     /         \

     \         /

\sqrt{20}  \     / \sqrt{20}

          \/

Step-by-step explanation:

i hope this is right it took me 30 min for the ascii

6 0
3 years ago
Im gon be posting a lot so helppp
almond37 [142]
12/3 is rational


DescriptionIn mathematics, a rational number is a number that can be expressed as the quotient or fraction
6 0
3 years ago
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