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Nikolay [14]
3 years ago
7

15. What is the algebraic notation of a figure is Translated 8 units left and 2 units up?

Mathematics
1 answer:
sasho [114]3 years ago
4 0

Answer:

Please check the explanation.

Step-by-step explanation:

When a figure is translated with 8 units left and 2 units up, it means the translated figure can be obtained by subtracting 8 units from the x-axis and adding 2 units to the y-axis.

For example, if a point P(0, 0) is translated with 8 units left and 2 units up, the new position of the point will be:

(x, y) → (x-8, y+2)

P(0, 0) → P'(0-8, 0+2) = P'(-8, 2)

Thus, the new location of the image of point P will be: P'(-8, 2)

Therefore, option (a) is the correction answer.

<em>                                           </em><u><em>FOR QUESTION 16</em></u>

As the algebraic notation of a figure is Translated 2 units right and 5 units up.

Translating 'a' units right mean, we need to add 'a' units to the x-axis.

Thus, the rule will be:

(x, y) → (x+2, y+5)

Therefore, option (b) is correct.

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PLEASE HELP! I’m struggling with each part any help will be amazing
Vlad [161]

Answer:

<u>slope:</u> -5/2

<u>y-intercept</u>: (0, 2)

<u>Linear function</u>: y = -5/2x + 2

Step-by-step explanation:

Given points (-2, 7) and (2, -3):

Use these points to solve for the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)

Let  (x1, y1) =  (-2, 7)

      (x2, y2) =  (2, -3)

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 7) / [2 - (-2)]

m = -10/ (2 + 2)

m = -10/4 = -5/2

Therefore, the  slope of the line in reduced form is m = -5/2.

The y-intercept is the <u>y-coordinate</u> of the point (0, <em>b</em>) where the graph of the linear equation crosses the y-axis of the Cartesian grid. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, use one of the given points (2, -3) and the slope (m = -5/2), and substitute their values into the slope-intercept form:

y = mx + b

-3 = -5/2(2) + b

-3 = -5 + b

Add 5 to both sides to solve for the y-intercept, b:

-3 + 5 = -5 + 5 + b

2 = b

Given the value of b = 2, it means that the y-intercept is (0, 2).

Therefore, given the slope of -5/2, and the y-intercept, b = 2:

The linear equation in slope-intercept form is: y = -5/2x + 2

Please mark my answers as the Brainliest, if you find this helpful :)

5 0
3 years ago
The Patels took out a 15-year mortgage. How many monthly payments will they have to make on this mortgage?
Usimov [2.4K]
I think 745 dollars per month because the person he rent the mortgage cost like 350 dollars per week
6 0
3 years ago
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The sum of two number is 17. their driffrence is 27.write a system of equations that describe this situation. solve to find the
STatiana [176]
A) x + y = 17
B) x - y = 27
Adding both equations:2x = 44
x = 22
y = -5


6 0
3 years ago
Add (4x^2-xy-y^2) and (x^2+5xy+8y^2) simplify your answer:
bazaltina [42]

Answer:

To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.

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8 0
3 years ago
Read 2 more answers
Factorise the following 4(x-1)²-9 need solution
kumpel [21]

Answer:x= 5/2 x= -1/2


Step-by-step explanation:

4(x-1)2-9

4(x2-2x+1) - 9

4x2 - 8x + 4 - 9

4x2 - 8x - 5

4x2 +2x - 10x - 5

2x(2x+1) - 5(2x+1)

(2x-5)(2x+1)

therefore, x= 5/2 x= -1/2




mark brainliest plzz

6 0
3 years ago
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