All categories

2 years ago

Consider the image of EFGH for the translation (x, y) → (x – 3, y + 1). What is the ordered pair of F′?

Mathematics

1 answer:

omeli [17]2 years ago

3 0

Answer:

$F'(-1,3)$

Step-by-step explanation:

The rule for the translation is given as

$(x,y)\rightarrow (x-3,y+1)$

The coordinates of F are (2,2).

We substitute these coordinates into the translation rule to find the coordinates of F'.

$F(2,2)\rightarrow F'(2-3,2+1)$

$F(2,2)\rightarrow F'(-1,3)$

You might be interested in

Patrick is 5.432 feet tall, Ivan is 5.503 feet tall, Laura is 5.413 feet tall, and Daisy is 5.510 feet tall. Which of the follow

True [87]

Answer:

Daisy, Ivan, Patrick, Laura

Step-by-step explanation:

That's just the numbers biggest to smallest.

6 0

2 years ago

Last year the depth of the river was 4.2 feet deep. This year it dropped 25%. Find the depth of the river this year to cross it.

Novosadov [1.4K]

Answer:

The river is 3.15 feet deep.

Step-by-step explanation:

First let's recognize what we need to find: the depth of the river

We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.

y = 25% of 4.2

y = 0.25 • 4.2

y = 1.05

This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.

d = 4.2 - 1.05

d = 3.15

The river is 3.15 feet deep.

Hope this helps!

4 0

2 years ago

-3x-7 ≤11 solve, please

Rom4ik [11]

Answer:

x ≥ -6

Step-by-step explanation:

-3x-7 ≤ 11

-3x-7+7 ≤ 11+7

-3x ≤ 18

(-3x)(1) ≤ 18(-1)

3x ≤ -183x/3 ≤ -18/3

7 0

2 years ago

100 points!!! Pre calculus. I need helpppppppppp

Fantom [35]

Answer:

We have function,

$y = 3 - 6 \sin {}^{} (2x + \frac{\pi}{2} )$

Standard Form of Sinusoid is

$y = - 6 \sin(2x + \frac{\pi}{2} ) + 3$

Which corresponds to

$y = a \sin(b(x + c)) + d$

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

$y = - 6(2(x + \frac{\pi}{4} )) + 3$

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

$\frac{2\pi}{ |b| }$

$\frac{2\pi}{ |2| } = \pi$

So the period is pi radians.

b. Amplitude is

$| - 6| = 6$

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that rule, our range is [6+3, -6+3]= [9,-3] So our range is [-3,9].

D. Plug in 0 for x.

$3 - 6 \sin((2(0) + \frac{\pi}{2} )$