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3 years ago

You know that 12x=60, and that x=5. Which property of equality would you use to conclude that 12•5=60?

Mathematics

1 answer:

alexandr402 [8]3 years ago

5 0

ANSWER

The substitution property of equality.

EXPLANATION

We know that:

$12x = 60$

and that

$x = 5$

Since x=5 or 5=x , we can substitute x for 5 wherever we see x in the given equation.

When we do that, we obtain;

$12 \bullet \: 5 = 60$

This is what we refer to as the substitution property of equality.

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Norma-Jean [14]

The change in the stock market from the beginning of the day to the end of the day is 29 3/4

<h3>How to determine the change in the stock market from the beginning of the day to the end of the day?</h3>

The given parameters are:

Beginning = 60 3/4

End = 90 1/2

The change in the stock market from the beginning of the day to the end of the day is calculated as;

Change = End - Beginning

So, we have

Change = 90 1/2 - 60 3/4

Evaluate

Change = 29 3/4

Hence, the change in the stock market from the beginning of the day to the end of the day is 29 3/4

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2 years ago

Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.

Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

$radius(r) = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } + {2}^{2} - 0 } \\ = \sqrt{ \frac{9}{4} + 4} \\ = \sqrt{ \frac{25}{4} } \\ = \frac{5}{2}$

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3 years ago

Just need help with #2 <br> Please help!<br> Thank you <br> (15 points)

IrinaK [193]

So you write into the table that x = 1 then y will equal 1*1.5 which equal to 1.5. So under x = 1 in y table you write y = 1.5, and so on

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2 years ago

Read 2 more answers

Which lines in the graph have a slope greater than 1 but less than 2?

lapo4ka [179]

Answer:

Lines 3 and 4

Step-by-step explanation:

Let's examine the slope of each of the given lines to have the exact value and be able to answer the question. We use the definition of: $slope=\frac{rise}{run}$

Line 1: $slope=\frac{rise}{run}=\frac{6}{2} = 3$

Line 2: $slope=\frac{rise}{run}=\frac{6}{3} = 2$

Line 3: $slope=\frac{rise}{run}=\frac{6}{4} = 1.5$

Line 4: $slope=\frac{rise}{run}=\frac{6}{5} = 1.2$

Line 5: $slope=\frac{rise}{run}=\frac{6}{6} = 1$

Therefore the lines that have slope strictly greater than 1 and less than 2 are:

Lines 3 and 4

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3 years ago

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What is the parameter of a rectangle with width 10 inches and length 13 inches

svetoff [14.1K]

The parameter of a rectangle can be alculated using the following rule:
parameter = 2(length + width)

from the givens:
length = 13 inches
width = 10 inches

so, just substitute with the givens in the equation to calculate the parameter:
parameter = 2(10+13) = 2*23 = 46 inches

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3 years ago