Answer:
y = -1/3x + 6
Step-by-step explanation:
First, change the original equation to slope intercept form:
y + 4 = 3x
y = 3x - 4
Now, find the slope of the perpendicular line. It will be the opposite reciprocal:
The opposite reciprocal of 3 is -1/3.
Next, plug this into the slope intercept equation along with the given point, so we can solve for b:
y = mx + b
6 = -1/3(2) + b
6 = -2/3 + b
6.67 = b
So, the equation will be y = -1/3x + 6
Answer: D) The balloon
Explanation:
Ignore the "above sea level" and "below sea level" portions. Focus purely on the numbers themselves. The largest value is the furthest away from sea level. The smallest value is closest to sea level.
Therefore, the balloon is furthest from sea level because 27 is the largest of the four values (5, 12, 18, 27).
Answer: W = P/2 - L
Step-by-step explanation: You divide everything by 2.
Solution for 0.5 is what percent of 3:
0.5:3*100 =
(0.5*100):3 =
50:3 = 16.666666666667
Now we have: 0.5 is what percent of 3 = 16.666666666667
Question: 0.5 is what percent of 3?
Percentage solution with steps:
Step 1: We make the assumption that 3 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=3$100%=3.
Step 4: In the same vein, $x\%=0.5$x%=0.5.
Step 5: This gives us a pair of simple equations:
$100\%=3(1)$100%=3(1).
$x\%=0.5(2)$x%=0.5(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{3}{0.5}$
100%
x%=
3
0.5
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{0.5}{3}$
x%
100%=
0.5
3
$\Rightarrow x=16.666666666667\%$⇒x=16.666666666667%
Therefore, $0.5$0.5 is $16.666666666667\%$16.666666666667% of $3$3.
Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms
<h3>What was Hilbert's Axiom?</h3>
These were the sets of axioms that were proposed by the man David Hilbert in the 1899. They are a set of 20 assumptions that he made. He made these assumptions as a treatment to the geometry of Euclid.
These helped to create a form of formalistic foundation in the field of mathematics. They are regarded as his axiom of completeness.
Hilbert’s axioms are divided into 5 distinct groups. He named the first two of his axioms to be the axioms of incidence and the axioms of completeness. His third axiom is what he called the axiom of congruence for line segments. The forth and the fifth are the axioms of congruence for angles respectively.
Hence we can conclude by saying that Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms.
Read more on Euclid's geometry here: brainly.com/question/1833716
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complete question
Hilbert’s axiom’s changed Euclid’s geometry by _____.
1 disproving Euclid’s postulates
2 utilizing 3-dimensional geometry instead of 2-dimensional geometry
3 describing the relationships of shapes
4 identifying and explaining the concept of undefined terms