<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
Answer:
no
Step-by-step explanation:
Neither 10 nor 34 are divisible by 4
Thus 4 is not a factor of the expression.
Answer:
h(2)+g(2) = -3
Step-by-step explanation:
Replace the variable (t) with (
2) in the expression.
h (2) = 3 - 5
Replace the variable (t) with (
2) in the expression.
g(2) = 2(2) -5
Replace the function designators in h(2) +g(2) with the actual functions.
h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)
Remove parentheses.
3 - 5 + 2(2)
Multiply 2 by 2
3 - 5 + 4 - 5
Subtract 5 from 3
.
-2 + 4 - 5
Add -2 and 4
2 - 5
Subtract 5 from 2
-3
Answer: The difference is as follows:
Step-by-step explanation:
- Deductive Arguments: A deductive argument is an argument wherein it is felt that the premises give an assurance of reality of the end. In a deductive arguments, the premises are planned to offer help for the conclusion that is so strong to an extent that, if the premises are valid, it would be impossible for the conclusion to be false.
- Inductive Arguments: An inductive arguments is an arguments where it is believed that the premises provide reasons supporting the likely truth of the conclusion. In an inductive arguments, the premises are proposed distinctly to be strong to an extent that, on the off chance that they are valid, at that point it is impossible that the conclusion is false.
The contrast between the two originates from the kind of connection the author or explainer of the argument takes there to be between the premises and the conclusion. In the event that the author of the argument accepts that reality of the premises certainly sets up reality of the conclusion because of definition, l<igical entailment or scientific need, at that point the argument is deductive. In the event that the author of the argument does not feel that reality of the premises certainly sets up reality of the conclusion, however in any case accepts that their fact gives valid justification to accept the conclusion genuine, at that point the argument is inductive.
Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).
