Answer:
Option A
Step-by-step explanation:
From the graph attached,
Distance of point A of rectangle ABCD = 5 units
Distance of point E of rectangle EFGH = 5 units
Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.
Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.
Let's check by the rule of reflection,
Rule for the reflection of a point (x, y) across y-axis is given by,
(x, y) → (-x, y)
Following this rule,
A(-5, 5) → E(5, 5)
B(-3, 4) → F(3, 4)
C(-4, 1) → G(4, 1)
D(-6, 2) → H(6, 2)
Therefore, rule for the reflection is applicable in this question.
Option A will be the answer.
Answer:
He receives $476 in comission.
Step-by-step explanation:
This question can be solved using a rule of three.
$6,800 is 100% = 1. x, which is his commision, is 7% = 0.07. Then
6800 - 1
x - 0.07
x = 6800*0.07
x = 476
He receives $476 in comission.
Answer:
The slope is -1/2
The slope is after the "y=" but before the "x" variable.
Answer:
4
Step-by-step explanation:
The left side of the equation can be factored as the difference of squares:
(a -b)(a +b) = 105
The right side of the equation can be factored to 4 different pairs of factors:
105 = 1·105 = 3·35 = 5·21 = 7·15
For each of the factor pairs, we can match factors to get, for example, ...
a -b = 1
a +b = 105
The solution to this is a = (105 +1)/2 = 53, b = (105 -1)/2 = 52. Thus, we have ...
(a, b) = (53, 52)
For the other factor pairs, the solutions are ...
(a, b) = (19, 16), (13, 8), (11, 4)
There are a total of 4 positive integer solutions.
Answer:
24. here is the explanation
if 8 donuts are sold for each 3 bagels sold and the bakery sold 9 in a day. 3x3x3 = 9. and if 8 are for every 3... just multiply 8 x 3 is 24.
Step-by-step explanation: