Answer:
13 units
Step-by-step explanation:
Put the numbers in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
= √((3 -(-2))² +(-9-3)²) = √(5² +(-12)²) = √(25 +144)
d = √169 = 13
The distance between the points is 13 units.
25x² + 9y² + 72y - 81 = 0
25x² + 9y² + 72y - 81 + 81 = 0 + 81
25x² + 9y² + 72y = 81
25x² + 9(y² + 8y + 16) = 81 + 9(16)
25x² + 9(y² + 4y + 4y + 16) = 81 + 144
25x² + 9(y(y) + 4(y) + 4(y) + 4(4)) = 225
25x² + 9(y(y + 4) + 4(y + 4)) = 225
25x² + 9(y + 4)(y + 4) = 225
<u>25x²</u> + <u>9(y + 4)²</u> = <u>225</u>
225 225 225
<u> x²</u> + <u>9(y + 4)²</u> = 1
25 25
The conic section is an ellipse.
Answer:
option D
Step-by-step explanation:
An expression is undefined when you get division by zero or in simple words when denominator is zero.
Now we will solve each expression one be one by plugging value of x = 0
<h3>1)</h3><h3>
</h3>
-4/-3 = 4/3
<h3>2)</h3><h3>
</h3>
0/-3 = 0
<h3>3)</h3>
6/1
6
<h3>4)</h3>
<h3>-8/0</h3><h3>undefined</h3>
18x+9xy (9x⋅2)+(9x⋅y <span>(9x⋅2)+(9x⋅y You multiply 9x times 2 and then 9x times y. Because a(b+c) = ab + ac</span>
#1- Jennifer made a box plot to summarize this data. 124, 118, 129, 139, 133, 129, 142, 135, 122, 137. What is the median, the l
svp [43]
Answer:
B or
Lower quartile: 124
Median: 131
Upper quartile: 137
Step-by-step explanation:
To find the median first make the data in order from greatest to least:
118,122,124,129,129,133,135,137,139,142
Then find the middle 2 numbers which are 129 and 133
129+133=262 (divide by 2 to find average) so
median= 262/2=131
To find the Lower quartile find the number in the middle of the first 5 numbers which is 124
To find the Upper quartile find the number in the middle of the second 5 numbers which is 137 so
B or
Lower quartile: 124
Median: 131
Upper quartile: 137
