Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
Answer:
The interquartile range is 5.
Step-by-step explanation:
Ah, a throwback to interquartile range... let me help :)
4,5,6,8,9,10,11,12
First, you need to know how to use the IQR. The interquartile range is basically known as the process of subtracting the upper quartile and the lower quartile of a set of data. The lower quartile should be written as Q1, and the upper quartile would be labeled as Q3. This would make the midpoint (median) data set Q2, and the highest possible point would be labeled Q4. Next, you have to always understand what you are looking at. For example, let's split the set 5,6,7,8,9,10,11,12 into groups. 5 and 6 would be Q1, 7 and 8 would be Q2, 9 and 10 would be Q3, and last but not least, 11 and 12 would be labeled as Q4. Now take Q1 and subtract it from Q3 and that is how you get your IQR.
To compare both, we find the volume of both cubes as follows:
V of cube A = 10 g / 10 g/cm^3 = 1 cm^3
V of cube B = 10 g / 0.37 g/cm^3 = 27 cm^3
I think the correct answer from the choices listed above is option D. Each edge of cube b is three times larger than cube. Hope this helps. Have a nice day.
Answer:
1, 2, 4
Step-by-step explanation:
The triangles are similar by AAA or SSS (yes)
The sides are proportional (yes)
The length of AB is 21, not 15 (no)
The length of BC is 9 (yes)
The dilation is an enlargement, not reduction (no)
(x + 9) (x + 34)
9 * 34 = 306
9 + 34 = 43
