First, we need to find the slope:
m=rise/run OR
m=(2+2)/(-6-2)
m=4/-8
m=-1/2
second we need to find the equation for the line using point-slope form:
y-(-2)=-(1/2)(x-2)
to find "a" we plug in the given y value and solve for x (in this case x=a):
so, a=6 and the point becomes (6,-4)
Answer:
The answer is below
Step-by-step explanation:
From the image attached we can see that the width of the garden is 6 ft. The length of the garden is the slanting side of the triangle (hypotenuse).
Let x be the length of the garden. The height of the triangle = 40 ft - 15 ft = 25 ft.
The base of the triangle = 80 ft - 75 ft = 5 ft.
The length of the garden is gotten using Pythagoras:
x² = 25² + 5²
x² = 650
x = 25.5 ft.
The area of the garden = length * width = 25.5 * 6 = 153 ft²
Hence the approximate area = 160 ft²
The population density of an area is the number of people living in per unit area. The most populated region is Region A.
<h3>What is Population Density?</h3>
The population density of an area is the number of people living in per unit area. It is given by the formula,
The population density of the different regions is as follows,
Region A = 20,178 person /521 km² = 38.729 person/km²
Region B = 1,200 person /451 km² = 2.66 person/km²
Region C = 13,475person /395 km² = 34.114 person/km²
Region D = 6,980 person /426 km² = 16.385 person/km²
Hence, The most populated region is Region A.
Learn more about Population Density:
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An Irrational Number is one which cannot be put into rational form (i.e. a fraction)
Pretty much, any decimal that is not in any particular order is irrational. Of this list, <span>√ 8 is the only one that generates a non-repeating decimal, so that is your irrational number.
Hope that helped =)</span>
we know that
The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.
Let
N----------> total number of tiles
Y---------> number of yellow tiles
B--------> number of blue tiles
P--------> number of purple tiles
we have
<u>1) Find the fraction of yellow tiles</u>
we know that
the fraction of yellow tiles is equal to
substitute the values
<u>2) Find the fraction of purple tiles</u>
we know that
the fraction of purple tiles is equal to
substitute the values
<u>3) Find the fraction of yellow tiles or purple tiles</u>
we know that
the fraction of yellow tiles or purple tiles is equal to
therefore
<u>the answer is</u>
