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3 years ago

9

I need the answer and a explanation. simplify

D%20%7D" id="TexFormula1" title="\frac{\sqrt{18} }{\sqrt{81} }" alt="\frac{\sqrt{18} }{\sqrt{81} }" align="absmiddle" class="latex-formula">

1 answer:

Alex Ar [27]3 years ago

7 0

I put the radical around the whole thing and then simplified the fraction

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Find the next two terms. 81, 27, 9, ?, ?

Nataly_w [17]

Answer:

3 and 1

Step-by-step explanation:

Similarly each term is 1/3 of the previous term. This is a geometric sequence.

9/3 = 3

3/3 =1

3 0

2 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

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

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

so

$m_A_B \neq m_C_D$

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

If ∠8 measures 116°, what is the measure of ∠1? (Lines b and c are parallel.)

Trava [24]

It is the first one angle 64

4 0

2 years ago

Read 2 more answers

Bill notes that his apple tree is 4/5 the size of his pear tree is apple tree is 4 M tall how tall is the pear tree

e-lub [12.9K]

1) Given that the apple tree is 4/5 pear tree we can write

Apple Tree size = 4/5 Peartree

Apple tree= 4m

2) So we can write the following expression for that:

$\begin{gathered} Apple=\frac{4}{5}P \\ 4=\frac{4}{5}_{}P \\ 4P=20m \\ P=\frac{20}{4} \\ P=5 \\ \\ \end{gathered}$

So the Pear tree is 5 meters tall, and the apple tree is 4/5*5 = 4 m

7 0

1 year ago

What two numbers have a product of 48 and, when the larger number is divided by the smaller, a quotient of 3?

kondaur [170]

Answer:

12 and 4

Step-by-step explanation:

12 × 4 = 48

12 ÷4 = 3

............

4 0

3 years ago