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SpyIntel [72]
3 years ago
14

1.9n−14=5n+58

Mathematics
1 answer:
elena-s [515]3 years ago
8 0
1. n=18
2. n=18
3. x=4
4. a= -12
5. x=3
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Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9). What is the value of ef/lm.
Elina [12.6K]

Answer:

EF / LM = 1 / 4

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).

Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).

Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.

Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).

CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:

LM / EF = 4

EF / LM = 1 / 4

6 0
2 years ago
What is the slope of the line on the graph?
netineya [11]

Answer: i don't know you have to figure it out yourself duh.

Step-by-step explanation: This is none of your beeswax

7 0
2 years ago
Read 2 more answers
If A=i +j+2k B=2i+j+2k C=i-2j-2k Find the magnitude of (A+B+C)​
ss7ja [257]

Answer: (6j-2j + 7k / 89

3 0
2 years ago
I need help with this problem! Thank you!
QveST [7]

Answer:

<em>The amount of water in the reservoir at the beginning of second week</em>

<em></em>w_{2} = 299.8800<em></em>

Step-by-step explanation:

<u>Step(i):</u>-

<em>Given equation </em>

<em>   w₀ = 300  and </em>

w_{n} = (0.9993) w _{n-1} + 0.15

Put n =1

w_{1} = (0.9993) w _{1-1} + 0.15

w_{1} = (0.9993) w _{0} + 0.15

w_{1} = (0.9993) X 300 + 0.15

w_{1} = 299.94

<u><em>Step(ii)</em></u>:-

<em>Put n =2</em>

w_{2} = (0.9993) w _{2-1} + 0.15

w_{2} = (0.9993) w _{1} + 0.15

w_{2} = (0.9993) X (299.94) + 0.15

w_{2} = 299.8800

<u><em>Conclusion:</em></u>-

<em>The amount of water in the reservoir at the beginning of second week</em>

<em></em>w_{2} = 299.8800<em></em>

<em></em>

                     

3 0
3 years ago
-1≤ 3x-10≤ 2 please help me
kicyunya [14]

Answer:

3 ≤ x ≤ 4

Step-by-step explanation:

Step 1: Add 10 to all parts/sections.

  • -1 + 10 \leq  3x - 10 + 10 \leq 2+10
  • 9\leq 3x\leq 12

Step 2: Divide all parts/sections by 3.

  • \frac{9}{3} \leq \frac{3x}{3} \leq \frac{12}{3}
  • 3 \leq x \leq  4

Therefore, the answer is 3 ≤ x ≤ 4.

5 0
2 years ago
Read 2 more answers
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