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3 years ago

How do you know whether the sign of the product of two rational numbers is positive or negative?

Mathematics

2 answers:

Mama L [17]3 years ago

5 0

Answer:

Step-by-step explanation:

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Marianna [84]3 years ago

3 0

Answer:

When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

Step-by-step explanation:

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Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3). Find the coordinates of G.

Olin [163]

Answer:

Coordinates of G = $(2,0)$

Step-by-step explanation:

Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).

To find: coordinates of G

Solution:

Midpoints of a side joining points $(a,b),\,(c,d)$ are given by $(\frac{a+c}{2},\frac{b+d}{2})$

Diagonals of a parallelogram bisect each other.

So,

Midpoint of DF = Midpoint of EG

Midpoint of DF = $(\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})$

Midpoint of EG = $(\frac{-3+x}{2},\frac{1+y}{2})$

Let coordinates of G be $(x,y)$

Therefore,

$(\frac{-1}{2},\frac{1}{2}) =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0$

So,

Coordinates of G = $(2,0)$

8 0

3 years ago

What is the value of this expression?

mylen [45]

9514 1404 393

Answer:

Step-by-step explanation:

I find it convenient to remember that a logarithm is an exponent.

$\log_a(a^b)=b$

log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)

= 3 -1 = 2

The value of the expression is 2.

Some calculators can compute this for you directly.

6 0

3 years ago

Whats the answer help please

Maslowich

Answer:

the answer is D I think ...

3 0

3 years ago

Abby works at the library for 12 hours and makes 108.00 dollars . If p represents her hourly pay, write an equation that will ca

11111nata11111 [884]

Direct proportionality formula:
y = kx

where: y varies directly on x by k, the constant of proportionality;

In this problem, we substiture k with p.
y = total earning
p = hourly rate
x = no. of hours worked

y = 108
p = ?
x = 12 hrs

y = px
108 = p(12)
108/12 = p(12)/12
p = 9 hourly rate or rate per hour.

p = y/x
p = $108 / 12hrs

7 0

3 years ago

What is the expression (x+1)(x2+3x+2) as a polynomial in standard form?

andrezito [222]

Step-by-step explanation:

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3 0

2 years ago