In the diagram below DE is parallel to XY. What is the value of y?

Explanation:

Step-by-step clarification:

Referring to step 6

(b² — 4ac) / 4a² = (x + b/2a)²

The mistake in the question is that it should be (x + b/2a)²

According to step 7

±√(b² —4ac) /2a = x + b/2a

The error in the question is that it should be divided by 2a, not 1a.

1. The transition from step 6 to step 7 involves taking the square roots of both sides

(b² — 4ac) / 4a² = (x + b/2a)²

Taking the square of both sides

√(b²—4ac) / √4a² = √(x + b/2a)²

√(b²—4ac) / 2a = x + b/2a

This forms step 7 correctly.

Next, subtracting b/2a from both sides

√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a

√(b²—4ac) / 2a — b/2a = x

(√(b²—4ac)  — b)/2a = x

x = [—b ± √(b²—4ac)] / 2a

This gives the desired formula.

The discriminant is D = b²—4ac.

The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

• 10 times a given quantity of _____ hundreds results in 60 hundreds
• 60 hundreds convert to _____ thousands

We will divide this into two segments:

... Equation-1

... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

Both parts will be divided by 1,000, essentially being multiplied by .

Thus, we conclude with

Next, we process Equation-2 to derive M's value.

Rearranging this equation to place M on the left side appears as follows:

Again, both sides undergo division by 1,000, which translates to multiplication by .

This results in

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

Additional resources

1. A more detailed version of this topic
2. 2 thousands 7 tens divided by 10 equals what?
3. 100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

Respuesta:

Un total de 1242 estudiantes de sexto grado participaron en la excursión.

Explicación paso a paso:

A partir de los datos proporcionados, se sabe que el teatro tiene 2760 asientos y que los estudiantes ocuparon el 45% de ellos, por lo que para encontrar cuántos estudiantes de sexto grado asistieron a la excursión, hay que calcular el 45% de 2760:

2760*45%=1242

Así que, de acuerdo a esto, la respuesta es que 1242 estudiantes de sexto grado estuvieron en la excursión.

Answer:

Lily must file her income taxes

Step-by-step explanation: