Answer:
Step-by-step explanation:
A) What is the speed of the pedestrian BC, CD, and DE?
Speed from B to C = distance/time = (40 - 20) / 4 = 20/4
= 5 km/h
Speed from C to D = distance/time = 0 / 2
= 0 km/h
Speed from D to E = distance/time = (20 - 0) / (10 - 6) = 20/4
= 5 km/h
B) After what time since the stop did he arrive at point E?
Since the stop at D, he arrived at E after (10 - 6) = 4 h
C) Write the formulas for function d(t) for sections BC, CD, and DE
For BC, d = 40 when t = 0 and d = 20 when t = 4
So d(t) = 40 - 5t
For CD, d = 20 when t = 4 and t = 6
So d(t) = 20
For DE, d = 20 when t = 6 and d = 0 when t = 10
So d(t) = 5 * (10 - t) or d(t) = 50 - 5t
Answer:
The formula for Pascal's Triangle comes from a relationship that you yourself might be able to see in the coefficients below.
(x + y)0 (x + y)1 (x + y)² (x + y)3 (x + y)41 x + y x² + 2xy + y² x3 + 3x2Y + 3xY2 + y3 x4 + 4x3Y + 6x2Y2 + 4XY3 + Y4
HOPE THIS HELPS!
<h2>Question 9:</h2>
1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12
2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).
3. Simplify: 1/2 (12) (44)=1/2(528)=264
Area of whole figure is 264 square mm.
<h2>Question 10:</h2>
Literally same thing but with trigonometry.
1. Use sine to find out length of dotted line: sin(60°)=x/12
2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)
3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²
4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6
5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)
6: Simplify: 1/2 (10.4) (66) =343.2
7: Area of figure is about 343.2
Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.
Answer:
-75
Step-by-step explanation:
f(-10) = 7(-10) - 5
f(-10) = -70 - 5
f(-10) = -75
