Answer: 1
A plane is uniquely defined by 3 distinct points. Think of a stool with 3 legs. Each part of the leg that makes contact with the ground allows the stool to stay stable. It turns out that that extra 4th leg may make the stool wobbly which is why 3 legs are preferred.
This is true based on the theorem corresponding parts of congruent figures are congruent.
I agree with all your choices. First, you would convert all the equations to slope-intercept form.
Convert the initial equation 5x - 3y = 8 to get y = 5/3x + (-8/3)
We can't do anything with -5 = 3y = -8 because of the equal signs, therefore, option A is eliminated.
Option B in slope-intercept is y = 5x + -8, that is no where close to <span>y = 5/3x + (-8/3), so B is eliminated.
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Option C in slope-intercept form is <span>y = 5/3x + (-8/3), the same as the initial equation, so choice C is correct.
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Option D in slope-intercept form is y = 2.5/-1.5x + 4/-1.5, dividing the fraction results in y = -1.667x + -2.667, -1.667x is the equivalent of -5/3 and -2.667 is the equivalent of (-8/3). It does not matter if the slope is positive or negative, as long as they're the same. Choice D is correct.
Option E in slope-intercept form is y = -25/-15x + 8/-15, dividing -25/15x results in 1.667x, but 8/-15 is -0.534, -0.534 is not equal to -2.667. Choice E is eliminated.
Option F in slope-intercept form is y = -15/-9x + 24/-9, -15/-9 is 1.667 and 24/-9 is -2.667, this is equivalent to y = 5/3x + (-8/3). <span>Choice F is </span>correct<span>.
I agree with all your answers! :) </span>
Answer:t=1
Step-by-step explanation:
16-2t=t+9+4t
Collect like terms
4t+2t+t=16-9
Combine like terms
7t=7
Divide both sides by 7
7t ➗ 7=7 ➗ 7
t=1
Answer: Multiplying integers is very similar to multiplying whole numbers. A positive number times a negative number equals a negative number. A negative number times a negative number equals a positive number. A negative number times a positive number equals a negative number.
