Which equation demonstrates the distributive property?
1 answer:
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Answer:
C. 2x-y>-7
Step-by-step explanation:
The Line is not part of the region since is drawn in the graph using a dotted line, but we still need to find its equation.
The equation of a line is y=mx+b, where 'm' is the slope.
'm' can be obtained using the following formula.
To find the slope, as well 'b' we need points from the line, those will be (-6,-5), (0,7) as (x2,y2) and (x1,y1) respectively
Evaluating those point in the formula we have 'm' =2
Using now the above result and the point (0,7) in the equation y=mx+b, we obtain the value for 'b'.
7=2*0+b7
b=7
Hence our line is y=2x+7, and if we write it in standard form we obtain the following> y-2x=7.
Now, since our line is not part of the region, and the region is below that line, there is the < sign.
Hence the inequality that corresponds to the figure is y-2x<7 or, if we multiply by -1 (changin orientation of signs) 2x-y>-7
<h3><u>Answer:</u></h3>
- x = 66°
- y = 48°
<u>Since this is an isosceles triangle, the base angles must be the same. Hence, </u><u>x = 66°.</u>
<u>Since we have found x, we can find y by using the 180-angle method.</u>
- => y + 66 + 66 = 180
- => y + 132 = 180
- => y = 180 - 132
- => y = 48°
Therefore, the answers are:
- x = 66°
- y = 48°
Hoped this helped.
Answer: Probability that 3 are consonants and 2 are vowels is 0.3996.
Step-by-step explanation:
Since we have given that
Number of unique consonant tiles = 10
Number of unique vowel tiles = 5
Total number of tiles = 10+5=15
we need to pick 5 tiles randomly,
So, Probability that 3 are consonants and 2 are vowels is given by
Hence, Probability that 3 are consonants and 2 are vowels is 0.3996.