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Softa [21]
3 years ago
15

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3.

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer: -1/3

Step-by-step explanation:

correct me if im wrong

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The following system has a solution: x=10, y=-3, z=14
wolverine [178]
<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether x=10, \ y=-3, \ z=14 is the solution to this system, that is, the ordered triple P(x,y,z) where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the x=10, \ y=-3, \ z=14 is not the solution to the system of equations.

5 0
3 years ago
Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25
kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

a^2 = b^2 + c^2 - 2bc[cos(A)]

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0
3 years ago
Not sure how to find the solutions
OlgaM077 [116]
The solutions to the equation are
-2
2 - √10
2 + √10
8.2
4 0
3 years ago
Johnathan has been driving at a constant speed for 4 hours, during which time he traveled 240 miles Johnathan world like to know
valentinak56 [21]
30000000000000000000000000000000000

8 0
3 years ago
Simplify the expression. Write your answer as a power.
nekit [7.7K]

Answer:

either 2^8/3^8 or 256/6561

Step-by-step explanation:

looked it up on Symbolab

5 0
3 years ago
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