Answer:
s = 11
Step-by-step explanation:
Any number greater than or equal to 11 would be a solution for the inequality given.
s = 11 is a solution.
Hope this helps.
Answer:
The distance between (-1,5) and (2,5) is √9 or 3.
Step-by-step explanation:
Okay first, just for explaining purposes, let's call the ordered pair (-1,5) letter A and ordered pair (2,5) letter B.
Now to the answer. To start you use the distance formula. which is:
d=√( (x2-x1)²+(y2-y1)²)
Then you solve by plugging the ordered pairs into the formula where -1 from point A is X1 and 5 from point A is Y1. 2 from point B is X2 and 5 from point B is Y2.
When you solve it should look like this:
1. d=√( (x2-x1)²+(y2-y1)²)
2. d=√( (2- -1)²+(5-5)²) *2 minus a negative one means plus so we get 3*
3. d=√( (3)²+(0)²)
4. d=√( 9+0)
5. √9 = 3
Answer:
(∠C) ≅ (∠B)
∴ tan(∠B) = tan(∠C) and
Slope AB = Slope BC
Step-by-step explanation:
Part A:
To explain why the slope from point from A to B is the same with the slope from B to C with similar triangles we have;
The angle between segment AB and the vertical is the same as the angle between segment BC and the vertical - (corresponding angles)
The angle between segment AB and the horizontal is the same as the angle between segment BC and the horizontal - (corresponding angles)
The length of a segment opposite to the angle between segment AB and the horizontal is the as the length of a segment opposite to the angle between segment BC and the horizontal
Therefore, the triangle formed by A, B and the point of intersection of the vertical line from A with the horizontal line from B is congruent to the triangle formed by B, C and the point of intersection of the vertical line from B with the horizontal line from C
Which gives the angle with the horizontal at C (∠C) is congruent to the angle with horizontal B (∠B)
The slope AB = tan(∠B)
Slope BC = tan(∠C)
(∠C) ≅ (∠B)
Therefore, tan(∠B) = tan(∠C) and slope AB = Slope BC.
Answer:
$1480.24
Step-by-step explanation:
This will be solved by the formula:
Where
FV is the future value (what we are looking for)
I is the initial amount (which is $1000)
r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)
t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)
<em>plugging the info into the formula we will get our answer.</em>
<em>
</em>
