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antoniya [11.8K]
3 years ago
7

Your family is traveling 345 miles to an amusement park. You already have traveled 131 miles. How many how many more miles must

you travel to the amusement?
Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

214 miles more.

Step-by-step explanation:

345-131

=214

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A line has a slope of -13. There is a second line that passes through points (-7,-5) and (6,-4) . Would these lines be parallel
Elza [17]
<h3>Answer: The lines are perpendicular</h3>

=================================================

Work Shown:

Use the slope formula to find the slope of the line through the two given points.

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-5))/(6 - (-7))

m = (-4 + 5)/(6 + 7)

m = 1/13

The slope of the line through the two given points is 1/13.

This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.

However, the two lines are perpendicular because multiplying the two slope values leads to -1

(slope1)*(slope2) = (-13)*(1/13) = -1

note: It might help to think of -13 as -13/1 to help multiply the fractions.

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3 years ago
Determine the slope of the line given the graph 3,-3 and 0,2
BigorU [14]

Answer:

\displaystyle m = \frac{-5}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Coordinate Planes

  • Reading a coordinate plane
  • Coordinates (x, y)

Slope Formula:                                                                                                          \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify points</em>

Point (0, 2)

Point (3, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{2 + 3}{0 - 3}
  2. Simplify:                                                                                                             \displaystyle m = \frac{-5}{3}
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3 years ago
Simplify 3(x+2)-9x+5
Nimfa-mama [501]
It would be...
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The system of equations y = - 2x + 3 and y = xis graphed. What is the solution to the system of equations ?
nata0808 [166]

Answer:

(1,1)

Step-by-step explanation:

we have

y=-2x+3 ----> equation A

y=x ----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point both graphs is the point (1,1)

see the given graph

therefore

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Remember that

if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system

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Substitute the value of x=1 and y=1 in each equation and analyze the result

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<em>Equation B</em>

1=1 ---> is true

so

The ordered pair satisfy the equation B

therefore

The ordered pair (1,1) is a solution of the system because satisfy both equations

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A child's toy is in the shape of a cone on top of a
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Answer:

1. 167.55

2. 10.77

Step-by-step explanation:

For #1 use the formula for volume of cone: V=\pi r^2\frac{h}{3}, and for #2 use the Pythagorean Theorem: a^2+b^2=c^2

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