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3 years ago

Solve the equation for x, where x is a real number (5 points): -2x^2 + 5x - 10 = 3

1 answer:

3 0

Subtract 3 from both sides so that the equation becomes -2x^2 + 5x - 13 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                      x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                      x = [ -5 ± √((5)^2 - 4(-2)(-13)) ] / ( 2(-2) )
                                      x = [-5 ± √(25 - (104) ) ] / ( -4 )
                                      x = [-5 ± √(-79) ] / ( -4)
Since √-79 is nonreal, the answer to this question is that there are no real solutions.

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If possible, prove that AB||CD. If not possible, show and explain why

Romashka-Z-Leto [24]

Answer:

AB || CD

Step-by-step explanation:

Remember that vertical angles are always equal/ congruent to each other

Since 108° is vertical to angle S, angle S also equals 108°

Since a line is equal to 180°, and you now know that S equals 108°, you would subtract 180 by 108 to get line RT.

180-108= 71°

By default, line VW also equals 71° (you are repeating the same progress you did to get RT)

The angle vertical to <V is equal to 134°, so angle V also equals 134°

180-134 gives you the answer to the angle by 134 and V, they should equal 46°

Corresponding angles equal each other, so angle R is also 134°, and by default the other numbers are equal to to what you did at the top right

Once again, since corresponding angles are equal to each other, you would automatically have the same answers for the bottom line;

the outermost angles equal 134° and the innermost angles equal 46°

8 0

3 years ago

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

0.08 Divided by 3.84

Cloud [144]

Around 0.02 or more precise, 0.02083

8 0

3 years ago

Read 2 more answers

Which of the following is an expression? *

Yanka [14]

Answer:

Step-by-step explanation:

An expression does not have an equals sign

An equation has an equals sign

4x = 12 equation

25 - 12 = 13 equation

7x - 3 + 2y =29 equation

3m expression

4 0

3 years ago

Taylor saw an American alligator at a zoo that measured Ask Your Teacher feet long. The record length of an American alligator i

lianna [129]

Answer:

The record alligator is $6\frac{1}{4}$ feet longer than the alligator Taylor saw.

Step-by-step explanation:

Taylor saw an American alligator at a zoo that measured $12\frac{11}{12}$ feet long. The record length of an American alligator is $19\frac{1}{6}$ feet long. How much longer is the record alligator than the alligator Taylor saw?