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romanna [79]
3 years ago
5

Solve problems about dilations and write about solution methods. On a coordinate plane, point B is at (1, negative 1). Point B h

as coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)
Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

B' = (3, -3)

Step-by-step explanation:

If the coordinate (a,b) is dilated by a factor of k, the resulting coordinate will be ()ka, ka)

Given the coordinate (1, -1). When dilated by a factor of 3, the resulting coordinate will be;

B' = 3B

B' = 3(1, -1)

B' = (3(1), 3(-1))

B' = (3, -3)

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If tan x=.67, and cos x=.83, what is sin x
Alexxandr [17]

Answer:

0.56

Step-by-step explanation:

                                  sin x

tan x is defined as -------------

                                  cos x

and we can solve this for sin x:  sin x = (cos x)(tan x)

which here is:  sin x = 0.83(0.67) = 0.56 (rounded up from 0.5561)

7 0
4 years ago
The square of a number decreased by 15 is twice the number. find the number
jonny [76]

Answer:

x = 5, -3

Step-by-step explanation:

x² - 15 = 2x

x² - 2x - 15 = 0

(x - 5)(x + 3) = 0

6 0
3 years ago
Which expression is equivalent to
tankabanditka [31]

144^(3/2) = √(144^3) = 1,728

5 0
3 years ago
A factory can work its employees no more than 6 days a week, and no less than 2 days per
Molodets [167]

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

6 0
3 years ago
How many of each type of box is it carrying?
CaHeK987 [17]

Answer:

Number of large boxes: 55

Number of small boxes:65

Step-by-step explanation:

Let be "l" the number of large boxes and "s" the number of small boxes.

Set up a system of equations:

\left \{ {{l+s=120} \atop {60l+30s=5250}} \right.

Use the methof of elimination. Mulitply the first equation by -60 and add both equations. Then solve for "s":

\left \{ {{-60l-60s=-7200} \atop {60l+30s=5250}} \right.\\.........................\\-30s=-1950\\s=65

Substitute s=65 into any of the original equations and solve for "l":

l+65=120\\l=55

8 0
3 years ago
Read 2 more answers
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