Answer:
The correct answer is "Circle 1 is a translation of 1 unit right and 7 units up from Circle 2, and a dilation of Circle 2 with a scale factor of 1.6"
Step-by-step explanation:
We can tell this because first they identify the movement properly. When going from (-3, 0) to (-2, 7), we move to the right one and up 7.
Also, we know there is a scale factor of 1.6, because when we look at the radius of each circle, we can divide and find that factor.
8x/5x = 1.6
So you gotta use the AC method. What two numbers multiply to 4 and add to negative 5? It’s -4 and -1. Now you split up the -5 and then factor
I will show you how. 4x^2 -4x -1x +1
Now factor that —> 4x(x-1) -1 (x-1) see how there are two (x-1)?
We simplify it to (x-1)(4x-1) I took the two numbers of the outside and put them together. Now see that you multiply it out you get ur original unfactkred equation
Answer:
The correct answer is B.
Step-by-step explanation:
Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:
Chandler wrote 60 + 2g ≥ 92
Jamal wrote 60 + 2g> 92
Allison wrote 60 + 2g <92
Qi wrote 60 + 2g ≤ 92
To determine whose inequality is correct, the following calculation must be performed:
92 - 60 = 32
32/2 = 16
Chandler: 60 + 2x16 ≥ 92
Thus, Chandler wrote the correct option.
9514 1404 393
Answer:
first triangle -- side: 304.8 mm; perimeter: 914.4 mm
second triangle -- side: 863.6 mm; perimeter: 2590.8 mm
Step-by-step explanation:
We are given two equilateral triangles. The perimeter of the second is given as 102 inches, so its sides have length 102/3 = 34 inches. This is 2 less than 3 times the side length in the first triangle. So, adding 2 will give 3 times the side length of the first triangle: 36 inches, which also happens to be its perimeter. Those side lengths are 36/3 = 12 inches.
Now, we know:
first triangle -- side length 12 inches, perimeter 36 inches
second triangle -- side length 34 inches, perimeter 102 inches.
These measurements are desired in millimeters. Each inch is 25.4 millimeters, so we can find the desired measures by multiplying these numbers by 25.4.
12×25.4 = 304.8; 36×25.4 = 914.4
34×25.4 = 863.6; 102×25.4 = 2590.8
The desired lengths are ...
first triangle -- side: 304.8 mm; perimeter: 914.4 mm
second triangle -- side: 863.6 mm; perimeter: 2590.8 mm
A) One tenth is equal to 0.1, so you do 830,000 x 0.1 to get 83,000 people. You can also do 830,000 divided by 10 to get the same answer since it is one-tenth.
B) You can divide 5280 by 4 to find the answer of this one.
C) Divide by 4 again (because it is a fourth), but then multiply by three because the question asks for three-fourths.
D) A minute is 60 seconds, so 60 divided by 3 is 20. Given that it asks for two-thirds, you then multiple 20 by 2 to get the final answer of 40 seconds.
E) There are 24 hours in a day, so divide 24 by 8.
Hopefully this helps "get the ball rolling" for you!
