Answer:
-24
Step-by-step explanation:
So in short this is what it means:
-4×-2×-3
So to work it out this is what you do:
Deal with the first two numbers; -4 × -2=8
It becomes an eight without a negative because when multiplying numbers with the same signs(positive or negative) the answer is always a positive number thus the answer becomes 8.
Then 8×-3=-24
This is because when multiplying a negative and positive numbers the answer is always a negative numbers thus -24.
So automatically the answer is -24.
HOPE IT HELPED
Answer:
C. HL
Step-by-step explanation:
The diagram given shows that the hypotenuse length and the length of a leg of one right triangle is congruent to the hypotenuse and corresponding leg length of the other. Based on Hypotenus-Leg criterion, the two right triangles is proved to be congruent because it meets the criterion of HL.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following equation:
With slope
By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:
We replace the point (5,5) through which the line passes and find "b":
Finally, the equation is:
On the other hand, if two lines are perpendicular then the product of their slopes is -1. Thus, the slope of a perpendicular line will be:
Thus, the equation is of the form:
We substitute the point (5, -5) through which the line passes and find "b":
Finally, the equation is:
Answer:
Answer:
y=-3/2x+3
Step-by-step explanation:
The slope is -3/2x because it's going down 3 and to the right 2.
And it intercepts the y-axis at 3. Thus, 3 is the y-intercept.
Answer:
Step-by-step explanation:
Let's write out a case for two specific questions being correct and the rest being incorrect:
,
The represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.
The represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.
The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.
We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): .
Therefore, the probability the student gets two questions correct is: