Answer:
The given line segment has a midpoint at (−1, −2).
On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = −4x − 4
y = −4x − 6
y = One-fourthx – 4
y = One-fourthx – 6
y = Three-halvesx + 1
Answer: 35
the age of Roberto is x (x > 3)(x ∈ N)
because Roberto is 3 years older than Carolyn => the age of Carolyn is x - 3
in 7 years, the age of Roberto is x + 7; the age of Carolyn is x - 3 + 7 = x + 4
because In 7 years the sum of their ages will be 81 =>
x + 7 + x + 4 = 81
⇔ 2x + 11 = 81
⇔ 2x = 70
⇔ x = 70/2 = 35
=> the age of Roberto is 35
Step-by-step explanation:
The exponent symbol when typing is ^. so I so rewrite this for you.
(15x^8 / 24y^5) / (4x^4 / 8y^2)
I assumed you meant 8y squared because you said 8 squared.
now when we divide by a fraction, we can actually multiply by it's reciprocal and get the same thing. The word reciprocal really just means flip it over. so:
(15x^8 / 24y^5) * (8y^2 / 4x^4)
let's reduce the coefficients ( the numbers in front of the x and y) to make it easier.
We have 15/24 which can be reduced to 5/8
and 8/4 which is 2/1
so:
(5x^8 / 8y^5) * (2y^2 / x^4)
multiply numerator and denominator
(10x^8y^2) / (8x^4y^5)
now reduce coeffient. 10/8 is 5/4
reduce x: x^8/x^4 is x^4
reduce y: y^2/y^5 is 1/y^3
now put together
5x^4 / 4y^3
so C
Answer: 60000
Step-by-step explanation:
The ten thousands place is the 5th digit from the right. Because the digit in the thousands place is less than 5, round down to 60000.
