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3 years ago

Enter the missing value into the box to complete the ratio comparing 6 yards to 9 feet.

Mathematics

1 answer:

tatyana61 [14]3 years ago

3 0

The ratio of 6 yards to 9 feet is 1/2 but I can't see where the missing value is

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Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

2 years ago

Read 2 more answers

Please help I really need an answer anything would help! :)

Romashka-Z-Leto [24]

Answer: lise will play 2 times deanna will play 4 times

Step-by-step explanation:

6 0

3 years ago

Marking as brainliest!!!!

7nadin3 [17]

Answer:

The answer to your question is: Letter A

Step-by-step explanation:

Data

M (-6, 7)

E (4, 11)

r = 1 / 3

Formula

$x = \frac{x1 + rx2}{1 + r}$

$y = \frac{y1 + ry2}{1 + r}$

x = $\frac{-6 + (1/3)(11)}{(4/3)} = \frac{-6 + (4/3)}{(4/3)} = \frac{-18 + 4}{4} = \frac{-14}{4} = \frac{-7}{2}$

y = $\frac{7 + (1/3)(11)}{4/3} = \frac{7 + (11/3)}{(4/3)} = \frac{21+ 11}{4} = \frac{32}{4} = 8$

5 0

2 years ago

URGENT: the question is in the attachment below

joja [24]

Simultaneous equation refer to a pair of equations that are solved at the same time.

<h3>What is a simultaneous equation?</h3>

A simultaneous equation refer to a pair of equations that are solved at the same time.

For problem 1;

x = 4 - y ------ (1)

y^2 = 3x + 19 ----- (2)

Substitute (1) into (2)

y^2 = 3(4 - y) + 19

y^2 = 12 - 3y + 19

y^2 +3y - 31 =0

y = 4.27 or -7.27

x = 4 - 4.27 = 0.27

x = 4 - (-7.27) = 11.27

For the second problem;

x = 7 - y

y^2 = 5x - 15

Substitute (1) into (2)

y^2 = 5(7 - y) - 15

y^2 =35 -5y -15

y^2 + 5y - 20 = 0

y =2.62 or -7.62

x = 7 - 2.62 = 4.38

x= 7 - (-7.62) = 14.62

Learn more about simultaneous equation:brainly.com/question/16763389

#SPJ1

8 0

2 years ago

Plz help it’s due today’s

mina [271]

Answer:

% increase

Step-by-step explanation:

80(1.15) = 92

3 0

2 years ago