All categories

3 years ago

What transformation transforms (a, b) to (a, −b)?

Mathematics

2 answers:

stira [4]3 years ago

7 0

A translation of 1 unit down

Sedbober [7]3 years ago

3 0

A reflection over the x-axis

If you have -b in your coordinate, it basically means that you're flipping it vertically...

for example if I have (a,b) equals to (2,3)... (a,-b) would be (2,-3) ... which means that rather than 3, it is found -3 ... which is a reflection across the x-axis.

You might be interested in

g For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction trace

tamaranim1 [39]

Answer:

a) See the file below, b) $s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$ , c) $s \approx 9.715$

Step-by-step explanation:

a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.

b) The arc length formula is:

$s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$

c) The perimeter of that arc is approximately:

$s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }$

$s \approx 9.715$

5 0

3 years ago

(HELP! MARKING BRAINLIEST) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet pape

viktelen [127]

Answer:

14 packs per hour

Step-by-step explanation:

The store sold 57 - 15 = 42 packs of toilet paper in 3 hours.

42 packs in 3 hours = 42/3 = 14 packs per hour

5 0

3 years ago

What the answer is for this question

ale4655 [162]

Answer:

im pretty sure its 24

Step-by-step explanation:

because 12+12=24

4 0

3 years ago

How can I solve this?<br>Please use the simplest format

IgorLugansk [536]

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

opposite = 4

adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

= (4 × √3) / (√3 × √3)

= 4√3 / 3

Thus,

n = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

$m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}$

$m=\sqrt{\frac{4^2}{3}+4^2}$

$m=\sqrt{\frac{64}{3}}$

$m=\frac{8}{\sqrt{3}}$

$m=\frac{8\sqrt{3}}{3}$

Thus,

$m=\frac{8\sqrt{3}}{3}$

n = 4√3 / 3

Therefore, option D is true.

3 0

3 years ago

At the café Patty can choose to earn $12 per hour plus $100 starting bonus or $16 per hour with no starting bonus after how many

Alexxx [7]

Answer:

25 hours

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

3 0

2 years ago

What transformation transforms (a, b) to (a, −b)​?

What transformation transforms (a, b) to (a, −b)?