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mixer [17]
3 years ago
12

Complete the explanation to determine whether each statement is always, sometimes, or never true. If quadrilateral PQRS is a rho

mbus and one diagonal has a slope of 4, then the other diagonal has a slope of
1/4 .
The diagonals of a rhombus are , so the product of the slopes of the diagonals is . Therefore, the diagonals of a rhombus have slopes of 4 and
1/4 , since 4 · 1/4 −1. The statement is true.
Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:

True I believe

Step-by-step explanation:

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Multiply all common factors of 9x^6, 15x^4,and 12x^2 to find the GCF.
lesantik [10]
First find common factor for parameters. I mean to find common factor number 9,15,12
first, write the divisors:
Divisors of 9:  1,3,9
divisors of 12:  1,2,3,4,6,12
divisors of 15: 1,2,3,5,15
so see, that GCF of 9,12,15 is 3.

Now, count GCF of x^2, x^4, x^6
GCF 2,4,6  is 2,  so the result is x^2 
and know finally GCF these terms is 3x^{2}
3 0
3 years ago
What is the value of x? Enter your answer in the box.
Law Incorporation [45]
Set 2 of the equations equal to each other:
3x + 2 = 5x - 22
This comes out to x = 12.

To check this, replace x with 12 in all three of the equations.
5 0
3 years ago
(3-0/4a)-(10-0.8a). Solve for a
torisob [31]

An equation is formed of two equal expressions. The value of 'a' in the given equation is 6.452.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be solved for 'a' as shown below,

\dfrac{(3-0)}{4a} = (10-0.8a)\\\\\dfrac{3}{4a} = (10-0.8a)\\\\

0.75a = 10 - 0.8a

0.75a + 0.8a = 10

1.55a = 10

a = 6.452

Hence, the value of 'a' in the given equation is 6.452.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

3 0
2 years ago
Can (5z+3)(-5z-3) result in a difference of squares
castortr0y [4]

Answer:

no, it cannot

Step-by-step explanation:

a difference of square is: a² - b² = (a - b)(a + b)

looking at the expression (5z+3)(-5z-3), we see that it does not fit the criteria of the breakdown of a perfect square, as (-5z-3) has a negative <em>a</em> term (-5z)

if we FOILed (5z+3)(-5z-3) out, we would get:

-25z² - 30z - 9, which is not a difference of squares

8 0
3 years ago
the length of a rectangle is 1 cm more than twice it's width. of area of the rectangle is 21 cm^2 then what are the dimensions?
larisa86 [58]
You are given a rectangle and are told that the length is 1 cm more than twice the width of the rectangle.  The area of the rect. is also given, and is 21 cm^2.

Find the length and width.  To do this, represent the length by y and the width by x.  Then "1 cm more than twice the width" comes out to y=2x+1 (cm).

Since the area of a rect. is equal to the product of its length and width, 

x(2x+1)=21 cm^2.  Multiply out x(2x+1).  show your work.  Next, subtract 21 from both sides.  Write your algebraic expression on the left side as a quadratic equation in standard form.

Solve this quadratic equation for x.  Recall that x (in cm) will represent the width of the rect., and y=2x+1 (in cm) will repr. the length.
8 0
3 years ago
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