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RideAnS [48]
3 years ago
9

Bob drove from home to work at 4040 mph. after work the traffic was​ heavier, and he drove home at 2525 mph. his driving time to

and from work was 11 hour and 1818 minutes. how far does he live from his​ job?
Mathematics
1 answer:
morpeh [17]3 years ago
6 0
X=distance from home to work = 15 miles
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Use the pythagoren theorem to solve x
defon
Well the equation is (A^2)+(B^2)=(C^2)

A= x
B= 2x
C will always be the longest side because it is the Hypotenuse = 25

So if you plug in those numbers into the equation...

(x^2) + (2x^2) = (25^2)

x^2 + 4x^2 = 625

Combine like terms

5x^2 = 625

Divide by five to both sides

x^2 = 125

Then Square root,

x = sqrt(125)

x = sqrt(25* 5)

x = 5sqrt(5)
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3 years ago
Math 8: Linear Functions, Part 2
Studentka2010 [4]

Answer:

\boxed{\text{1. y + 5 = -4(x - 3); \qquad 2. y - 8 = x + 1}}

Step-by-step explanation:

Question 1

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 3; y₁ = -5; m = -4  

Substitute the values

\boxed{\textbf{y + 5 = -4(x - 3)}}

The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).

Question 2

x₁ = -1; y₁ = 8; m = 1  

Substitute the values

\boxed{\textbf{y - 8 = x + 1}}

The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).

3 0
3 years ago
The table shows the speeds of several runners on a track team. What is the speed, in feet per minute, of the fastest runner?
Ipatiy [6.2K]
Where is the table? I would love to help!
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3 years ago
Marvin had 2 spools of fishing line. Each spool had
melisa1 [442]
The answer would be 12yards of fishing line :)
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3 years ago
Which algebraic expression is a polynomial with a degree of 3?
Irina18 [472]

Option a: 4x^{3} -\frac{2}{x}

Option b: 2y^{3} +5y^{2} -5y

Option c: 3y^{3} -\sqrt{4y}

Explanation:

The highest degree of a polynomial is the largest exponent of that variable.

Now, we shall determine the polynomial with degree 3.

Option a: 4x^{3} -\frac{2}{x}

From the expression 4x^{3} -\frac{2}{x}, the highest degree of the polynomial is 3.

Hence, 4x^{3} -\frac{2}{x} is a polynomial with a degree of 3.

Hence, Option a is the correct answer.

Option b: 2y^{3} +5y^{2} -5y

From the expression 2y^{3} +5y^{2} -5y, the highest degree of the polynomial is 3.

Hence, 2y^{3} +5y^{2} -5y is a polynomial with a degree of 3.

Hence, Option b is the correct answer.

Option c: 3y^{3} -\sqrt{4y}

From the expression 3y^{3} -\sqrt{4y}, the highest degree of the polynomial is 3.

Hence, 3y^{3} -\sqrt{4y} is a polynomial with a degree of 3.

Hence, Option c is the correct answer.

Option d: -xy\sqrt{6}

From the expression -xy\sqrt{6}, the highest degree of the polynomial is 1.

Hence, -xy\sqrt{6} is a polynomial with degree 1.

Hence, Option d is not the correct answer.

5 0
3 years ago
Read 2 more answers
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