Answer:
D
Step-by-step explanation:
The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:
I will use the quadratic formula:
Therefore, x = 9 is a 0. Let's check with subtracted root now:
It appears 0 is also a root.
Therefore, the answer is D.
Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
Answer:
1) b, c, d
2) d
3) a, c, d
Step-by-step explanation:
Just find the number that can divide by the whole. Say the question was
A pet shop have 20 pets. The same amount of pets are in each room. How many rroms could there be?
If there were 4 rooms, 5 pets would be in each. 20÷4=5. 4 goes into 20 so 4 could be an answer.
If there were 3 rooms, 6 rooms would have 3 pets and 2 would be left over. So it wouldn't work. You just need to find the number that goes into the whole with no remainder.
A bar graph is when you want to compare the data in the data set (which this data set does)
A line graph is used when the data set creates a straight line (which this data set does not)
A circle graph (also known as a pie chart) is used when the data set measures percentages that will total 100% (which this data set does not)
A stem plot is used when you want to show the frequency of the beginning digit <em>or digits</em> (which this data set does not)
Answer: A
Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
Step-by-step explanation:
If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:
<u>Original statement:</u> The grass is wet because it was raining.
<u>Contrapositive statement:</u> It was not raining, so the grass is not wet.
Notice how we "flipped" the original sentence around, as wrote it's "opposite".
