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Reptile [31]
3 years ago
10

For which values of p and q does the following equation have infinitely many solutions?

Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0
The equation:
p x + q = 46 x + 23
p x - 46 x = 23 - q
x ( p - 46 ) = 23 - q
x = ( 23 - q ) / ( p - 46 )
This equation has infinitely many solutions for :
23 - q = 0  and  p - 46 = 0
or:  q = 23  and  p = 46
Answer : A ) p = 46 & q = 23   
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Based on the table, which best predicts the end<br> behavior of the graph of f(x)?
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approaching negative infinity

Step-by-step explanation:

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. A triangle has vertices on a coordinate grid at points J(-1, 5), K(4, 5), and L(4, -2). What is the length, in units, of ?
Neko [114]

Answer:

20.6

Step-by-step explanation:

Given data

J(-1, 5)

K(4, 5), and

L(4, -2)

Required

The perimeter of the traingle

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J(-1, 5) amd

K(4, 5)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4+1)²+(5-5)²)

d=√5²

d= √25

d= 5

Let us find the distance between the vertices

K(4, 5), and

L(4, -2)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4-4)²+(-2-5)²)

d=√-7²

d= √49

d= 7

Let us find the distance between the vertices

L(4, -2) and

J(-1, 5)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-1-4)²+(5+2)²)

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d= √25+49

d=  √74

d=8.6

Hence the total length of the triangle is

=5+7+8.6

=20.6

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2 years ago
Which fraction is less than 1 chose all of the correct answer, and explain why you chose and write it down and explain your answ
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Answer:

(3/4) and (2/3).

Step-by-step explanation:

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\begin{aligned} \frac{p}{q} \quad \genfrac{}{}{0}{}{(\text{numerator})}{(\text{denominator})}\end{aligned}.

A positive fraction (p/q) (p,\, q > 0) is less than 1 as long as the numerator p is smaller than the denominator q (that is, p < q.) The reason is that as long as p,\, q > 0:

\begin{aligned} & \frac{p}{q} < 1 \\ \iff & (q)\, \left(\frac{p}{q}\right) < (q)\, (1) && (\text{given that $q > 0$}) \\ \iff & p < q\end{aligned}.

For example, in the fraction (2/3), 2 is the numerator while 3 is the denominator. Both the numerator and the denominator are positive, while the numerator 2\! is smaller than the denominator 3\!. Therefore, (2/3) would be less than 1.

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IT is c i checked using all the steps

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