Answer:
3)
4) a)
b)
Step-by-step explanation:
<u>Exercise 3</u>
<u>Exercise 4</u>
a) If L2 is parallel to L1, it has the same slope (gradient) ⇒
If L2 passes through point (3, 1):
So L2 = L1
b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒
If L3 passes through point (-5, 2):
Answer:
Option C
Step-by-step explanation:
You need to begin by separating the shape into two distinct rectangles. The larger one has dimensions 15 cm * 8cm, while the smaller one has dimensions 7cm * 5cm. Adding these together, you get 15*8+7*5=155 square centimeters, or option C. Hope this helps!
Answer:
Step-by-step explanation:
The Fundamental Theorem of Algebra states that the number of complex roots a polyomial has is equal to its highest exponent. This is a squared polynomial; second degree; quadratic. When it is factored, no matter what types of numbers you get as the solution, you will ALWAYS have 2 of them. When this quadratic is factored, we get that x = 3 and x = 3. That means that this is a quadratic that touches the x-axis at (3, 0). It doesn't go through, it only touches. We do have 2 roots, but since they're the same, we say we have a multiplicity 2 of that root. The closest you'll come to that in your choices is A. Apparently your text refers to multiplicity 2 as a double root.
Answer:P=2x + 2y + 8
Step-by-step explanation: Perimeter (p) =2L+ 2w
P= 2(x+5)+2(y-1)
Remove bracket
P=2x+ 10 +2y - 2
P=2x+2y+8
Answer:
2 kilograms
Step-by-step explanation:
500 + 800 + 700 is 2000g
There are 1000 grams in a kilogram
so the answer is 2 kilograms