Answer:
<em>48</em>
Step-by-step explanation:
AC = 10
DC² = 10² - 6² = 64
DC = 8
= 6 × 8 = 48
Answer:
(3x -1) (3x+1)
Step-by-step explanation:
9x^2 - 1
Rewriting
(3x)^2 -1^2
This is the difference of squares a^2 -b^2 = (a+b) (a-b)
(3x -1) (3x+1)
Answer:
y=1/2x + 3
Step-by-step explanation:
The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!
A₁ = -8 This is the first term in an arithmetic sequence.
d = 3, the common difference
a(n) = a₁ + d(n-1)
a₇ = -8 + 3(7-1)
a₇ = -8 + 3(6)
a₇ = -8 + 18
a₇ = 10
To check:
a₁ = -8
a₂ = -8 + 3 = -5
a₃ = -5 + 3 = -2
a₄ = -2 + 3 = 1
a₅ = 1 + 3 = 4
a₆ = 4 + 3 = 7
a₇ = 7 + 3 = 10
Answer: A
Explanation: the two triangles are proportional, so find the “proportion” between the two sides
12/4=3
3*3=9
3z=6