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Luba_88 [7]
3 years ago
11

The rectangle shown is dilated by a scale factor of 1/5

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

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What is the equation of the circle with center (2, –5) that passes through the point (–2, 10)?
Travka [436]
The standard equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

where the center is at point (h,k)

From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be

r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241

Thus, the equation of the circle is

(x-2)^{2} + (y+5)^{2} =241
4 0
3 years ago
I need help with the two ones in the middle please | 15 pts.
Aloiza [94]

First answer: 6 and 8

6 + 8 = 14

6 * 8 = 48

Second answer: 14 in the middle, 350 on top.

39 - 25 = 14

25 * 14 = 350

8 0
3 years ago
I need help. Look at picture above
vekshin1
Let’s do 3x - 8 ≤ 23 first.

You need to rearrange this so that x is on its own.

+8 to both sides

3x ≤ 31

/3 on both sides

x ≤ 31/3

Then the second, -4x + 26 ≥ 6

-26 from both sides

-4x ≥ -20

/-4 on both sides

x ≥ 5

So x is greater than or equal to 5, which can also be written as 5 ≤ x

And for the first one, x is less than or equal to 31/3, which can still be written as x ≤ 31/3, so your final answer is:

5 ≤ x ≤ 31/3

4 0
3 years ago
The City Zoo collected $100 in one morning. An adult ticket is $5 each, and a child's ticket is $3. How many different combinati
wlad13 [49]

Answer:

6 combinations

Step-by-step explanation:

Let

x----> the number of adult tickets

y---> the number of a child tickets

we know that

5x+3y=100 ----> linear equation that represent the situation  

y=-(5/3)x+(100/3)

The maximum number of adult tickets is 20 (20*$5=$100)

The maximum number of a child tickets is 33  (33*$3=$99)

Construct a table for different values of x and find the values of y

The possible combinations will be pairs of whole numbers

see the attached table

The solution is 6 combinations

5 0
3 years ago
Am i right ? i just need clarification
Ede4ka [16]

Answer:

yes!!

Step-by-step explanation:

8 0
3 years ago
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