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3 years ago

What is the length of the side AB as shown on the coordinate plane?

Mathematics

2 answers:

Anna007 [38]3 years ago

7 0

Answer:

Step-by-step explanation:

For future reference, all you have to do is count the number of units/spaces from point A to point B. :)

Rufina [12.5K]3 years ago

3 0

Answer:

The length is 6

Step-by-step explanation:

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What is 0.11 / 22.77

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Answer: 0.00483

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3 years ago

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The equation that you must use is y=15x+15
so x would be 1,2,3,4,5 and y would be 30,45,60,75,90

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3 years ago

Mrs. Cazares went shopping for candy for her students. She bought 6 bags of candy. She had a coupon for $6 off her purchase. If

Umnica [9.8K]

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3 years ago

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The little Mexican restaurant sells only two kinds of beef burritos mucho beef sandwich Lucho beef last week the restaurant orde

Finger [1]

Answer:

Cost of a single Mucho beef burrito: $\$5.5$

Cost of a double Mucho beef burrito: $\$6.5$

Step-by-step explanation:

<h3> The exercise is: "The Little Mexican restaurant sells only two kinds of beef burritos: Mucho beef and Mucho Mucho beef. Last week in the restaurant sold 16 orders of the single Mucho variety and 22 orders of the double Mucho. If the restaurant sold $231 Worth of beef burritos last week and the single neutral kind cost $1 Less than the double Mucho, how much did each type of burrito cost?"</h3>

Let be "x" the the cost in dollars of a single Mucho beef burrito and "y" the cost in dollars of a double Mucho burrito.

Set a system of equations:

$\left \{ {{16x+22y=231} \atop {x=y-1}} \right.$

To solve this system you can apply the Substitution Method:

1. Substitute the second equation into the first equation and solve for "y":

$16(y-1)+22y=231\\\\16y-16+22y=231\\\\38y=231+16\\\\y=\frac{247}{38}\\\\y=6.5$

2. Substitute the value of "y" into the second equation and evaluate in order to find the value of "x":

$x=6.5-1\\\\x=5.5$

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3 years ago

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,

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

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3 years ago

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