The basis to respond this question are:
1) Perpedicular lines form a 90° angle between them.
2) The product of the slopes of two any perpendicular lines is - 1.
So, from that basic knowledge you can analyze each option:
<span>a.Lines s and t have slopes that are opposite reciprocals.
TRUE. Tha comes the number 2 basic condition for the perpendicular lines.
slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.
b.Lines s and t have the same slope.
FALSE. We have already stated the the slopes are opposite reciprocals.
c.The product of the slopes of s and t is equal to -1
TRUE: that is one of the basic statements that you need to know and handle.
d.The lines have the same steepness.
FALSE: the slope is a measure of steepness, so they have different steepness.
e.The lines have different y intercepts.
FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.
f.The lines never intersect.
FALSE: perpendicular lines always intersept (in a 90° angle).
g.The intersection of s and t forms right angle.
TRUE: right angle = 90°.
h.If the slope of s is 6, the slope of t is -6
FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.
So, the right choices are a, c and g.
</span>
Answer:
Table N 4
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
<em>Verify the table 4</em>
For x=1, y=2
so
y/x=2/1=2
For x=2, y=4
so
y/x=4/2=2
For x=3, y=6
so
y/x=6/3=2
therefore
The constant of proportionality k is equal to 2 and the equation is equal to
y=2x
The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y
A: the first answer is the best option
if there is a total of 5000 tickets, and we know there were adults, children, and seniors, then the equation:
c + a + s = 5000 is correct
if we are using c, a, and s as variables for how many children, adults, and seniors were in attendance, then by matching the corresponding price, we should have the equation:
$72000= 10c + 20a + 15s
lastly, if we know the amnt of children in attendance was 3x more than the amnt of seniors, the equation:
3s = c is best because by multiplying the number of seniors in attendance by 3, you will get 3x more children than seniors
hope this helps, and is correct :)!
