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3 years ago

What is the name of this property?

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

7 0

Answer:

zero product property

Step-by-step explanation:

as the value of a is 0 and b is 0 when we multiply them together we get ab that is equal to 0

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How do I solve for B in the formula I=M/B+a<br><br>Is this correct: B=M/I -a

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3 years ago

F(x)=x2. What is g(x)?

mixas84 [53]

Answer:

A and B

Step-by-step explanation:

1/4x^2 = (1/2x)^2

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3 years ago

Point B lies between points A and C on AC. Let x

Alex_Xolod [135]

Set up the following equation for this segment:

x is segment AB's length, and 3x is segment BC's length. 20 is segment AC's length.

Combine like terms:

Divide both sides by 4 to get x by itself:

x will equal 5.

Plug this value into the values for both segments:

Segment AB:

Segment AB is 5 inches long.

Segment BC:

Segment BC is 15 inches long.

5 0

3 years ago

A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago