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Deffense [45]
3 years ago
13

1.dilate by 3/5 : (20,10)

Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:

a) )12,6)

b) (12,2)

c) (4,-7)

d) (9,-7)

Step-by-step explanation:

a) Dilation

When we dilate, we multiply the given scale factor by each of the coordinates

We have this as follows;

(20 * 3/5, 10 * 3/5) = (12, 6)

2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value

We have this as;

(7+ 5, 8-6) = (12,2)

3. By reflecting across the x-axis

we have (x,y) changing to (x,-y)

so we have ;

(4,7) becomes (4,-7)

4. Rotation by 270 degrees (7,9)

If clockwise;

(x,y) becomes (y,-x)

so we have

(7,9) becoming (9,-7)

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What is 1/8÷9 in simplest form
NeTakaya

Answer:

0.0138888888889 or

1/72​

Step-by-step explanation: The answer can be found in Desmos

3 0
3 years ago
Solve the following equation:<br><br> 3 x one half
Kamila [148]
<h3>hello!</h3>

==========================================================

Let's simplify the expression:-

\bigstar{\boxed{\frac{3}{1} *\frac{1}{2}}

Multiply 3 times 1 and 1 times 2:-

\bigstar{\boxed{\pmb{\frac{3}{2} }}

======================================================

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

6 0
2 years ago
Solve the given inequality. Describe the solution set using the set builder or interval notation. Then graph the solution set on
Sophie [7]

Answer: THIRD OPTION.

Step-by-step explanation:

Given the following inequality:

3(x-5)\geq 6

You can follow these steps in order to solve it:

1. Apply Distributive property on the left side:

3(x-5)\geq 6\\\\(3)(x)+(3)(-5)\geq 6\\\\3x-15\geq 6

2. Add 15 to both sides of the inequality:

3x-15+(15)\geq 6+(15)\\\\3x\geq 21

3. Finally, divide both sides of the inequality by 3:

\frac{3x}{3}\geq \frac{21}{3}\\\\x\geq 7

 The symbol is \geq means "Greater than or equal to", and indicates that 7 is  include in the solution.

Therefore, the solution can be expressed as:

[7, \infty)

Now you must mark this point with a closed dot on the number line and shade everything to the right.

8 0
3 years ago
What are some solutions of the question 3x^2-5x+2=0?
Varvara68 [4.7K]

Answer:

Step-by-step explanation:

3x²-5x+2=0

3x²-3x-2x+2=0

3x(x-1)-2(x-1)=0

(x-1)(3x-2)=0

either x-1=0 which gives x=1

or 3x-2=0

x=2/3

7 0
2 years ago
A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If
Nataly [62]

Answer:

The function is missing in the question. The function is $ C(x) = 0.8x^2 -544x +97410 $

The answer is 4930

Step-by-step explanation:

Unit cost of a car is given as

$ C(x) = 0.8x^2 -544x +97410 $

Cost will be minimum when

x = -(-544)/ 2 x 0.8

  = 340

Therefore, minimum cost for unit car is

$ C(x) = 0.8x^2 -544x +97410 $

$ = 0.8(340)^2 -544(340) +97410 $

=  4930

4 0
3 years ago
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