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JulijaS [17]
3 years ago
15

Write the equation of a line with slope 3 and y-intercept −3. PLS I NEED ASAP

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0
The equation of the line is Y = 3x + (-3).
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A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates afte
nata0808 [166]

Answer:

The coordinates of the reflected triangle are X'(x,y) = (-3,-2), Y' (x,y) = (-5,1) and Z'(x,y) = (2,-3).

Step-by-step explanation:

Let be a point (a,b)\in\mathbb{R}^{2}, reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

d = d'

b - 0 = 0 - b'

b' = -b

y-Axis reflection:

d = d'

a - 0 = 0 - a'

a' = -a

If we know that X (x,y) = (3,2), Y(x,y) = (5,-1) and Z (x,y) = (-2, 3), the coordinates after both reflections are, respectively:

X'(x,y) = (-3,-2)

Y' (x,y) = (-5,1)

Z'(x,y) = (2,-3)

The coordinates of the reflected triangle are X'(x,y) = (-3,-2), Y' (x,y) = (-5,1) and Z'(x,y) = (2,-3).

8 0
3 years ago
I will give 30 points if u help now
Amiraneli [1.4K]

Answer:

3. x=16

4. x=51

Step-by-step explanation:

3. 3x-8=x+24

2x=32

x=16

4. 2/3(x+27)= 180-(3x-25)

2/3x+18=180-3x+25

11/3x=187

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x=51

5 0
3 years ago
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Can you show me the graph for f(x) = 1/2 x + 2
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Here is the graph with your line in it.

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What is the sum of 27 +48
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The correct solution is 75. 
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Confused on the function and method for this... help me out please.
mezya [45]

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = \frac{opposite}{hypotenuse} = \frac{XY}{YZ} = \frac{7.5}{22.3} , then

∠ YZX = sin^{-1} ( \frac{7.5}{22.3} ) ≈ 19.7° ( to 3 significant figures )

8 0
2 years ago
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