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ozzi
3 years ago
6

Aaron's home, the grocery store, and the library are all on the same road. The total distance from Aaron's home to the library c

an be represented by the expression 54x2+310x+8 . The grocery store is located between his home and the library. The distance from the store to the library can be represented by the expression 13x2−47x+23 .
Mathematics
1 answer:
____ [38]3 years ago
4 0
The distance from his home to the store is represented by

41x² + 357x - 15.

We know the distance from the store to the library, and the distance from his home to the library.  We also know the store is between the two.  To find the missing distance, we subtract the two polynomials we have:

(54x² + 310x + 8) - (13x² - 47x + 23)

Combining like terms:
54x² - 13x² = 41x²;
310x -- 47x = 310x + 47x = 357x;
8-23 = -15

This gives us 

41x²+357x-15
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What is 9/10 divided by 3/4?
goldenfox [79]

Answer:

6/5

Step-by-step explanation:

hi! when dividing fractions, we use the KCF rule, which stands for keep,change,flip. we keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction to its reciprocal. therefore, we now have:

9/10 * 4/3

now, we can multiply the numerators and denominators.

36/30

we can simplify this.

6/5

7 0
3 years ago
Read 2 more answers
Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74^{\circ}
MissTica

Answer:

8.27 ft.

Step-by-step explanation:

Using trigonometry of a right angled triangle:

cos 74 = x / 30        where x is the required distance

x = 30 cos 74

= 8.269 ft

3 0
2 years ago
HELP NEEDED ASAP
nikdorinn [45]

surface area of cylinder = 2 π r h + 2π r²

plug in values of pi, radius and area

2,461.76 = 2× 3.14 × 14 × h + 2× 3.14 × 14 × 14

2,461.76 = 87.92 h + 1,230.88

2,461.76 – 1,230.88 = 87.92h

1,230.88 = 87.92h

1,230.88 ÷ 87.92 = h

h = 14 ft

6 0
2 years ago
Which word best describes the slope of the line?
kramer

Answer:

B

Step-by-step explanation:

• A line sloping upwards from left to right has a positive slope

• A line sloping downwards from left to right has a negative slope

The line shown here slopes downwards from left to right, hence has a negative slope → B


6 0
3 years ago
If f(x) = x2 – 1, and<br> g(x) = x + 2, then<br> g(f(x)) = [ ? ]x2 +[ ]x +[
aev [14]
Gf(x)
=g[f(x)]
=g[x2-1]
=x2-1+2

3 0
2 years ago
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