Answer:
B: (x, y) --> (x + 4, y - 3)
Step-by-step explanation:
the shape DEF went to the right along the x axis wich <em>increased</em> x and then went down the y axis or <em>decreased </em>y to make D'E'F'
some good way to remember these translations and orders are...
- x is first when plotting points, then y (x, y)
- x increases going right, and decreases going left, as well as y increasing going up, then decreasing going down
BONUS FACT:
the symbol ( ' ) is called a prime when refering to transformations and geometry ((as in D' is pronounced D prime))
Answer:
EF = 58/7
Step-by-step explanation:
If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:
BP/7 = (BP+7x)/10
10BP = 7*(BP+7x)
10BP = 7BP+49x
3BP = 49x
BP = (49/3)x
BP/7 = (BP+3x)/EF
EF = (BP+3x)*7/BP
EF = ((49/3)x + 3x)*7/((49/3)x)
EF = ((58/3)x*7*3)/(49x)
EF = 58/7
Answer:
Sticks of butter : 2
Number of cookies : 40
Step-by-step explanation:
<em>Given that :You need 3 sticks of butter for every 24 giant cookies you bake.</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Sticks of butter Number of cookies</em>
<em> 3 24</em>
<em> x 16</em>
<em>5 y</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Let the unknown be x and y..</em>
<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>
<em>Then 24/3 = 8</em>
<em>Since the number of cookies is 16 then 16/8 = 2</em>
<em>Thus x = 2</em>
<em>Next for y.</em>
<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>
<em>Then 5 * 8 = 40</em>
<em>Thus, y = 40</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Completed table below:</em>
<em>Sticks of butter Number of cookies</em>
<em> 3 24</em>
2 <em> 16</em>
<em>5 </em><em>40</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<u><em>~lenvy~</em></u>
<em />
Answer:
Option (1)
Step-by-step explanation:
In the graph attached,
There are three intervals of the function graphed.
1st interval → -∞ < x < -3
2nd interval → -3 ≤ x ≤ 2
3rd interval → 2 < x < ∞
In the 1st interval, value of the function is constant. [represented by a straight horizontal line]
In the second interval, line graphed is slanting down. (slope of the line is negative).
Therefore, value of the function is decreasing in -3 ≤ x ≤ 2
In 3rd interval, slope of the line is positive. Therefore, function is increasing in the 3rd interval.
Option (1) will be the answer.
