The ordered pair for the other end is (35, 3).
Here, first endpoint = (-15, -3)
Midpoint = (10, 0)
From the midpoint formula, we know that:
M = (x1 + x2)/2 , (y1 + y2)/2
So, here M = (10, 0)
x2 = -15
y2 = -3
We will separate the equation (1), in two parts to get the value of x1 and y1.
(x1 + x2)/2 = 10 and (y1 + y2)/2 = 0
For x1,
(x1 + (-15))/2 = 10
x1 = 35
For y1,
(y1 + (-3))/2 = 0
y1 = 3
So, x1 = 35 and y1 = 3.
Therefore, the ordered pair that represents the other end of the segment is (35, 3).
Learn more about midpoint formula here -
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Answer:
x =
y
Step-by-step explanation:
Given x : y = 2 : 3
Express the ratios as a fraction, that is
=
( cross- multiply )
3x = 2y ( divide both sides by 3 )
x =
y
Answer:
7.5
Step-by-step explanation:
To find the median you must align all the numbers least to greatest so the order goes like this. 3,3,4,7,8,9,12,16. Then you must find the number in the middle. since there is not a number in the middle you add 7 and 8 together and then divide by 2 which is 7.5
5 unit cubes you would put them corner to corner like this:
X. X
X
<span>X. X
Hope this helps!</span>
Answer:
no real solutions
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 : a ≠ 0
Then the nature of the roots can be determined from the discriminant
b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real roots
Given
n(7n + 8) = - 10 ← distribute left side
7n² + 8n = - 10 ( add 10 to both sides )
7n² + 8n + 10 = 0 ← in standard form
with a = 7, b = 8 and c = 10, thus
b² - 4ac = 8² - (4 × 7 × 10) = 64 - 280 = - 216
Since b² - 4ac < 0 the equation has no real roots