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olya-2409 [2.1K]
3 years ago
15

Abby's school is 6 blocks west of her house. Her mother works at a store that is 4 blocks east of her school. Use a number line

to model the location of each building relative to the others, where east is represented by positive numbers and west is represented by negative numbers. What value represents the difference in position between Abby's house and her mother's store?

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

<h2>10</h2>

Step-by-step explanation:

Let us give a proper illustration in the number line

let H be Abby's house

and S be the school

let W be her mother's work.

kindly find attached a rough sketch of the number line for your reference

Question:<em> What value represents the difference in position between Abby's house and her mother's store?</em>

basically, the distance between two points on a number line is the difference between the points.

So the value that represents the position between Abby's house and her mother's store is the distance between the two points.

= 4-(-6)

=4+6

=10  

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3 years ago
A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is
PIT_PIT [208]

<em>Greetings from Brasil...</em>

The average for a set of 9 elements will be

(A + B + C + D + E + F + G + H + I) ÷ 9 = 20

Let's make (A + B + C + D + E + F + G + H + I) like S

<em>(I chose S to remember a sum)</em>

Let us think.....

S ÷ 9 = 20

S = 20 × 9

S = 180

So,  (A + B + C + D + E + F + G + H + I) = 180

According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:

<h3>(A + B + C + D + E + F + G + H + I + J) ÷ 10 = (20 - 4)</h3>

as seen above, (A + B + C + D + E + F + G + H + I) = 180, then

(180 + J) ÷ 10 = 16

(180 + J) = 160

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<h2>J = - 20</h2><h2 />

So, including the number - 20 <em>(minus 20)</em> in the original mean we will obtain a new mean whose result will be 16

3 0
3 years ago
Find the exact value of cos(arcsin(1/4)). For full credit, explain your reasoning.
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First way
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sin(α)=1/4
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<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4

For one value of sinα, possible 2 values of cosα.

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2 years ago
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Setler79 [48]
Not 100% sure but it might be B
6 0
2 years ago
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