The value of a in the equation 12 = 0.5a is,
⇒ a = 40
We have to given that;
The expression to solve for a is,
⇒ 12 = 0.5a
Now, We can simplify and find the value of a as,
⇒ 12 = 0.5a
⇒ 0.5a = 12
Divide by 0.5;
⇒ a = 12 / 0.5
⇒ a = 120/5
⇒ a = 40
Thus, The value of a in the equation 12 = 0.5a is,
⇒ a = 40
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b) Write a rule for the translation. Use arrow notation.
c) Write the coordinates of the vertices of the new image after translation.
The coordinates of the vertices of the new image after translation and reflection :
A''(0, 1); B''(-3, 3); C''(-2, -1).
A reflection is an example of a transformation
Reflection is the process of mirroring each point on the geometry of a certain line.
The original figure is called the pre-image and the final figure is called the image
The image will be congruent with the pre image and the distance from the image to the mirror axis is the same as the distance from the pre image to the mirror axis
• The equation of reflection across the y-axis
x '= -x
y '= y
can be written
While the transformation itself is the displacement of the object given a distance and direction (for example up or down)
So each point is moved in the same distance and direction
Can be formulated :
Triangle ABC below is reflected across the y-axis and then translated 1 unit right and 2 units down.
So the stages
1. reflected across the y-axis first and then
2. translated 1 unit right and 2 units down.(T(a,b) ⇒a=1,b=-2)
Coordinate A(1,3),B(4,5),C(3,1)
reflected becomes :
A(1,3)⇒A'(-1,3)
B(4,5)⇒B'(-4,5)
C(3,1)⇒C'(-3,1)
A'(-1,3) ⇒A''(-1+1,3-2)⇒A"(0,1)
B'(-4,5) ⇒B''(-4+1,5-2)⇒A"(-3,3)
C'(-3,1) ⇒ C"(-3+1,1-2)⇒C"(-2,-1)
Transformation from function
the rule for the reflection
the transformation rule
Keywords: reflection.,translation, the coordinates
If he had $254 to spend, and at the end (after spending) he was left with $29, then that means he spent $225 on video games. That's because we're taking away what he has now from what he had originally to spend, which leaves us with how much he spent on games in total.
So, if we know that he spent $225 on 9 video games, we can work out how much each game costs by dividing the amount he spent ($225) by the number of games (9) to give us the final answer:
$225 ÷ 9 = $25
He spent $25 on each game. Hope that helped! :)
c) one number is positive and one number is negative
A) The positive number furthest away from 0 is the greatest.
B) The negative number closest to 0 is the greatest.
c) Any positive number is always greater than any negative number.
• Sammy earned a total of $28.00.
• She picked twice as many pints of tomatoes as blueberries.
How many pints of blueberries did Sammy pick?
Answer:
Step-by-step explanation:
b = pints of blueberries
c = pints of cherry tomatoes
3b + 2c = 28
2b = c
First, substitute 2b into the c of the first equation.
3b + 2(2b) = 28
3b + 4b = 28
7b = 28
b = 4
Then, substitute 4 into the b of the second equation.
2(4) = c
c = 8
Then, substitute both values into the first equation to check.
3(4) + 2(8) = 28
12 + 16 = 28