Quadrilateral ABCD has diagonals that are congruent and perpendicular to each other. What classification can be given to ABCD?

Which sequence shows a pattern where each term is 1.5 times the previous term?

Anna11 [10]

Answer:

-200, -300, -450, -675

Step-by-step explanation:

Let's look at each sequence individually, and see what relates them.

For the first sequence, -4 can be multiplied by -3/2 to get 6. Therefore, each term in the first sequence is -3/2 times the previous term. This is not what we are looking for.

For the second sequence, (n)*5 is added for the nth term after 10.

i.e. (1*5)+10=15, (2*5)+15=25, (3*5)+25=40, and so on...

This is still not the correct answer.

For the third sequence, 1.5 is added to the previous term to get the next term. This is still not what we are looking for.

Finally, let's look at the fourth sequence. -200 can be multiplied by 1.5 to get the next term, -300, which can be multiplied by 1.5 to get the following term, -450. Since each term in this sequence is multiplied by 1.5 to get the following term, (-200, -300, -450, -675...) is the sequence we're looking for.

Hope this helps!

3 0

2 years ago

Read 2 more answers

What percent of 48 is 54

lisov135 [29]

$\begin{array}{ccc}48&-&100\%\\54&-&p\%\end{array}\ \ \ |cross\ multiply\\\\48p=54\cdot100\\48p=5400\ \ \ \ |divide\ both\ sides\ by\ 48\\\boxed{p=112.5}$

Answer: 54 is 112.5% of 48.

4 0

3 years ago

A parabola can be drawn given a focus of (-4, 4) and a directrix of y = –6. Write

AlexFokin [52]

Answer:

6y+2x

Step-by-step explanation:

A parabola can be drawn given a focus of (-4, 4) and a directrix of y = –6. Write

5 0

3 years ago

180+8x=160+6x help me find x

lianna [129]

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

180 + 8x = 160 + 6x

Step 2: Solve for x

Subtract 6x on both sides: 180 + 2x = 160
Subtract 180 on both sides: 2x = -20
Divide both sides by 2: x = -10

Step 3: Check

Plug in x to verify it's a solution.

180 + 8(-10) = 160 + 6(-10)

180 - 80 = 160 - 60

100 = 100

3 0

3 years ago

The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?

jonny [76]

Answer:

$\displaystyle -2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Average Rate of Change: $\displaystyle \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Step 1: Define

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

Step 2: Find Average

Substitute in variables [ARC]: $\displaystyle \frac{f(3) - f(-1)}{3 + 1}$
Substitute: $\displaystyle \frac{-4 - 4}{3 + 1}$
[Fraction] Subtract/Add: $\displaystyle \frac{-8}{4}$
[Fraction] Divide: $\displaystyle -2$

4 0

3 years ago