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3 years ago

6

Write the fraction as a mixed number/with 31/6

2 answers:

Nadusha1986 [10]3 years ago

6 0

The fraction as a mixed number would be 5 1/6 because if you divide 31 by 6 then you would get 5 and 1 as the remainder and so then 5 would be the whole number and 1 would be the numerator and since you are dividing 31 by 6 the 6 would be the denominator so the answer would be 5 1/6.

omeli [17]3 years ago

4 0

5 1/6 as 30 goes into 6 times tables, and there would be a remainder of 1

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3 years ago

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(h, k) = center

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2 years ago

In June your company had a loss of 1,200 after making some changes your company profited 4,800 for the month of July how much mo

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The company earns $6000 more in July than June.

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In June your company had a loss of 1,200 after making some changes your company profited 4,800 for the month of July.

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3 years ago

7. The bake sale raised $70. If each cookie sold cost $0.50, how many cookies were sold?

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2 years ago

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Line Segment BC has endpoints B (3,5) and C (7,15). Find the missing coordinates of A (x,9) and D (17,y) such that AB and CD are

o-na [289]

Answer:

<em>x=-7</em>

<em>y=11</em>

Step-by-step explanation:

<u>Perpendicular Vectors</u>

Two vectors defined as their endpoints $\vec u=$ and $\vec v=$ are perpendicular if their dot product a.b is zero. The dot product is

$\vec u.\vec v=ac+bd$

In other words

ac+bd=0

Let's treat all the points as the extremes of vectors, so we can easily find the missing coordinates

B (3,5) and C (7,15) define a segment, the vector

$\overrightarrow{BC}==$

The point A is A (x,9), we need to form a vector with B

$\overrightarrow{AB}==$

this vector must be perpendicular to BC, so, applying the dot product we have

$4(x-3)+40=0$

$4x-12=-40$

$x=-7$

The point D is D(17,y), we need to form a vector with C

$\overrightarrow{CD}==$

this vector must be perpendicular to BC, so, applying the dot product we have

$(4)(10)+(10)(y-15)=0$

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$10y=110$

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The points are

$\boxed{A(-7,9), D(17,11)}$

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3 years ago