The value of a is 80
Step-by-step explanation:
The distance of a point
from the y-axis can be written as

because the x-coordinate of the y-axis is zero.
Similarly, the distance of a point
from the x-axis can be written as

Since the y-coordinate of the x-axis is zero.
In this problem:
- The distance of the point A (−30, −45) from the y-axis can be written as

- The distance of point B (a,a) from the x-axis can be written as

Since
.
We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means

Therefore,

And solving for a,

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Answer:
the third side is 5 2/3 in.
s - 1
Step-by-step explanation:
a = side 1
b = side 2
c = side 3
a + b + c = 15
a = b - 4 => b = a + 4
c = a + 3
a + a + 4 + a + 3 = 15
3a + 7 = 15
3a = 8
a = 8/3 = 2 2/3 in
b = a + 4 = 6 2/3 in
c = a + 3 = 5 2/3 in
Answer:
be cautious of the answer
Step-by-step explanation:
Answer:
D) 5.6, 6, 6, 1
Step-by-step explanation:
Before we start solving this problem, we need to first rearrange the provided data from smallest to greatest, so we get:
5, 5, 5, 5, 6, 6, 6, 6, 6
now we can find the mean. The mean is nothing but the average of the provided values, so we need to add them and then divide them into the total amount of data:

next, in an odd number of data, the median is the middle number when written in order. In this case the middle number (the one in the position 5) is 6, so:
median=6
the mode will tell you what is the value that has the greatest number of occurrencies. This is the number that appears the most on our list.
Mode=6
and the range is the difference between the greatest value and the smallest value:
Range=6-5=1
so the answer is D.
Answer:
X^2y+x^2z+y^2+yz
Step-by-step explanation:
x^2(y+z)+y(y+z)
x^2y+x^2z+y^2+yz
basically you distrinbute the first bracket to the second bracket