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Karolina [17]
3 years ago
15

(01.02 LC) Simplify 8 - (14)

Mathematics
1 answer:
nignag [31]3 years ago
7 0

Answer:

8-14 or -6

Step-by-step explanation:


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Write a translation rule that maps point D(7, −3) onto point D'(2, 5).
12345 [234]

Answer:

The translation rule is described by D'(x,y) =(x-5,y+8).

Step-by-step explanation:

According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:

D'(x,y) = D(x,y) +U(x,y) (Eq. 1)

Where:

D(x,y) - Original vector with respect to origin, dimensionless.

D'(x,y) - Translated vector with respect to origin, dimensionless.

U(x,y) - Translation vector with respect to original vector, dimensionless.

From (Eq. 1) we get that translation vector is:

U(x,y) = D'(x,y)-D(x,y)

If we know that D(x,y) = (7,-3) and D'(x,y) =(2,5), then the translation vector is:

U(x,y) = (2,5)-(7,-3)

U(x,y) = (-5,8)

And we find the translation rule by assuming that D(x,y) = (x,y) and U(x,y) = (-5,8) in (Eq. 1):

D'(x,y) = (x,y)+(-5,8)

D'(x,y) =(x-5,y+8)

The translation rule is described by D'(x,y) =(x-5,y+8).

5 0
3 years ago
Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.
Lyrx [107]

First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4

cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4

4 0
3 years ago
When Barbara started her trip, the odometer read 13,487.8. When she ended the trip, it read
solniwko [45]
Who was the 1 president
8 0
3 years ago
Read 2 more answers
Round up 0.12 to the nearest tenth
nata0808 [166]
0.12 rounded to the nearest tenth is 0.10
8 0
3 years ago
How much simple interest would be paid on a loan of 10,170 at 7.64% for 272 days
Anastasy [175]

Answer:

I'll setup the problem and you can compute the answer

Step-by-step explanation:

The formula for simple:

I = P*r*t

I = interest

P = loan amount

r = interest rate per period (period = days)

n = number of periods

P = 10,170

r = .0764/365

t = 272

6 0
3 years ago
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