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gulaghasi [49]
3 years ago
11

If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0
P,Q,R can't be 0, because their product is nonzero. Either of S and T could be 0, but the third one only works if S is 0.
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Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.
Minchanka [31]

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.

5 0
3 years ago
Robert is a salesperson. He receives 7% commission on each piece of electronic equipment he sells. How much commission will he r
Shalnov [3]

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.

7 0
3 years ago
What is the slope of this equation? y= -1/2x −3 option -3 0 -1/2
marissa [1.9K]

Answer:

The slope is -1/2

The slope is after the "y=" but before the "x" variable.

3 0
4 years ago
How many pairs (a, b), where a and b are positive integers, satisfy the equation a2−b2=105? PLS HELP
Vlad [161]

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:

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For each of the factor pairs, we can match factors to get, for example, ...

  a -b = 1

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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.

6 0
3 years ago
The bakery sells 8 doughnuts for every 3 bagels sold. If the bakery sells 9 bagels in a day, how many doughnuts are sold?
Lunna [17]

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:

3 0
4 years ago
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