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allochka39001 [22]
3 years ago
11

Part B: A triangle has vertices A (-2, 3), B (0, 0), and C (1, 2). What are the coordinates of the vertices if the original tria

ngle is dilated by a scale factor of 3 and then reflected over the x-axis?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:

(-6,-9) , (0,0) and (3,-6)

Step-by-step explanation:

Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis

By dilating by a factor of 3, we multiply each term by 3

We have the following;

A’(-6,9) B’(0,0) and C’ (3,6)

Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)

So the vertices will be as follows;

(-6,-9) , (0,0) and (3,-6)

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Round the answer to the nearest
kykrilka [37]

By knowing the <em>blood</em> pressure and applying the <em>quadratic</em> formula, the age of a man whose normal <em>blood</em> pressure is 129 mm Hg is 40 years old.

<h3>How to use quadratic equations to determine the age of a man in terms of blood pressure</h3>

In this problem we have a <em>quadratic</em> function that models the <em>blood</em> pressure as a function of age. As the latter is known, we must use the quadratic formula to determine the former:

129 = 0.006 · A² - 0.02 ·A + 120

0.006 · A² - 0.02 · A - 9 = 0

A = \frac{0.02 \pm \sqrt{0.006^{2}-4\cdot (0.006)\cdot (- 9)}}{2\cdot (0.006)}

A = 1.667 + 38.733

A = 40

By knowing the <em>blood</em> pressure and applying the <em>quadratic</em> formula, the age of a man whose normal <em>blood</em> pressure is 129 mm Hg is 40 years old.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

4 0
2 years ago
The cost price of 18 sweaters is Rs425 per sweater and the total gain of the shopkeeper is Rs 6,750 1 find the sale price of eac
Nostrana [21]

Answer:

1. Sales price per sweater= Rs 800

2. percentage = 46.875% = 46.88%

Step-by-step explanation:

Given;

Cost price = Rs425 per sweater

Number of sweaters = 18

Total gain = Rs 6,750

Total cost price = cost price × number of sweaters

Total cost price = 18 × Rs425 = Rs 7,650

Total sales price = total gain + total cost price

Total sales price = Rs 6,750 + Rs 7,650

Total sales price = Rs 14,400

Sales price (per sweater) = Rs 14,400/18 = Rs 800 per sweater

Profit percentage = total gain/total sales price × 100%

Profit percentage = Rs 6,750/Rs 14,400 × 100%

Profit percentage = 46.875% = 46.88%

8 0
3 years ago
Is the opposite of -72, positive 72?
fiasKO [112]

Answer: yes.

Step-by-step explanation: the opposite of a positive is negative, and th opposite of a negative is positive

3 0
3 years ago
The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the x-ax
charle [14.2K]
First, it would be good to know that the area bounded by the curve and the x-axis is convergent to begin with.

\displaystyle\int_{-\infty}^{\ln\pi}\sin(e^x)\,\mathrm dx

Let u=e^x, so that \mathrm dx=\dfrac{\mathrm du}u, and the integral is equivalent to

\displaystyle\int_{u=0}^{u=\pi}\frac{\sin u}u\,\mathrm du

The integrand is continuous everywhere except u=0, but that's okay because we have \lim\limits_{u\to0^+}\frac{\sin u}u=1. This means the integral is convergent - great! (Moreover, there's a special function designed to handle this sort of integral, aptly named the "sine integral function".)

Now, to compute the volume. Via the disk method, we have a volume given by the integral

\displaystyle\pi\int_{-\infty}^{\ln\pi}\sin^2(e^x)\,\mathrm dx

By the same substitution as before, we can write this as

\displaystyle\pi\int_0^\pi\frac{\sin^2u}u\,\mathrm du

The half-angle identity for sine allows us to rewrite as

\displaystyle\pi\int_0^\pi\frac{1-\cos2u}{2u}\,\mathrm du

and replacing v=2u, \dfrac{\mathrm dv}2=\mathrm du, we have

\displaystyle\frac\pi2\int_0^{2\pi}\frac{1-\cos v}v\,\mathrm dv

Like the previous, this require a special function in order to express it in a closed form. You would find that its value is

\dfrac\pi2(\gamma-\mbox{Ci}(2\pi)+\ln(2\pi))

where \gamma is the Euler-Mascheroni constant and \mbox{Ci} denotes the cosine integral function.
5 0
3 years ago
What is √50 in simplest radical form?
Svet_ta [14]
\sqrt{50} = \sqrt{25*2} = \sqrt{25} * \sqrt{2} =5 \sqrt{2}
7 0
3 years ago
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