If you enter the formula =A2*(1+$A$1) in cell B2 and then copy cell B2 to C2, the numerical result in cell

WORTH 20 POINTS HELP

vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}$

$RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}$

$ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}$

$TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}$

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$QR = \frac{9 + 1}{2 + 3} = \frac{10}3$

$RS = \frac{5-9}{-4 - 2} = \frac{2}3$

$ST = \frac{5+5}{-4 + 7} = \frac{10}3$

$TQ = \frac{-5+1}{-7 + 1} = \frac{2}3$

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

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6 0

2 years ago

Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9

Kryger [21]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as $x=\frac{-b}{2a}$ .

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

a= 3
b=12
c=9

Replacing in the definition of axis of symmetry:

$x=\frac{-12}{2x3}$

Solving:

$x=\frac{-12}{6}$

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

brainly.com/question/10473291

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3 0

2 years ago

Parallelogram ABCD is similar to parallelogram QRST

k0ka [10]

Answer:

2. reflect parrellelogram ABCD across the x-axis and dilate the result by a scale factor of two centered at the orgigin

Step-by-step explanation:

to correctly map the parallelograms together you need to dialate the shape, because we already know that its two times bigger

7 0

2 years ago

According to the United States Census Bureau, on September 11, 2014, the population of the United States was increasing by 11 pe

Papessa [141]

Answer:

317,988,000

Step-by-step explanation:

We have been given that according to the United States Census Bureau, on September 11, 2014, the population of the United States was increasing by 11 people every 12 seconds.

Let us find number of people increased in 1 minute as:

$11\times \frac{60}{12}=11\times 5 =55$

Now, we will convert 11 years into minutes and multiply by 55 to find increase in population in 11 years.

$\text{11 years}=11\text{ years}\times \frac{365\text{ days}}{\text{year}}\times \frac{24\text{ hours}}{\text{days}}\times \frac{60\text{ min}}{\text{hour}}$