Answer
The answer is 567
Step-by-step explanation:
189*3=567
Answer:
(b) 65/27
Step-by-step explanation:
Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.
The sum represented by the summation symbol is ...
5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3
= 5(1 -2/3 +4/9 -8/27)
= 5/27(27 -18 +12 -8)
= 5(13/27) = 65/27
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There is a formula for the sum of a geometric series:
Sn = a1×(1 -r^n)/(1 -r)
Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...
S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27
Answer:
The answer to your question is: y = -2x + 10
Step-by-step explanation:
Data
Perpendicular to y = (1/2)x + 5
Point = (1, 8)
Formula
(y - y1) = m(x - x1)
Normal Slope = 1/2
New slope because they are perpendicular = -2
Substitution
( y - 8) = -2(x - 1)
y = -2x + 2 + 8
y = -2x + 10
Answer:
a =-4
b = 5
c=-2
Step-by-step explanation:
The quadratic is written as
ax^2 + bx+c =0
0 =5x - 4x^2 - 2
Rewriting
-4x^2 +5x -2 =0
a =-4
b = 5
c=-2
<u>Answer:</u>
square units
<u>Step-by-step explanation:</u>
Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:
Set function equal to 0 and solve for x:
f(x) = 10 - x
0 = 10 - x
x = 10
x =
This means that the base length of the triangle is also . Now that you have the height and base length, you can
Plug values into the formula for the area of a triangle:
The area of a triangle is × height × base
Height = 10, base =
Area = × 10 ×
Area = 5 ×
Area =