Answer:
y = -2x + 5
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define given</u>
y-intercept <em>b</em> = 5
Slope <em>m</em> = -2
<u>Step 2: Write function</u>
y = -2x + 5
The relationship between the trigonometric ratios are cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)
<h3>The relationship between the trigonometric ratios</h3>
The given parameters are:
- Scale factor of dilation, k = 2
- cos(X) = 2.5/5/59
Since the transformation is a dilation, it means that both triangles are similar.
So, we have:
cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)
<h3>The segments AC and AB. </h3>
In (a), we have:
Both triangles are similar.
This means that the corresponding points are:
X and A
Y and C
Z and B
So, we have:
AC = 2 * XY
AB = 2 * XZ
Read more about dilation at:
brainly.com/question/13176891
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5y - 2x + 1 = 0.
5y = 2x-1.
y = 2/5 x - 2/5
this tells us that tan(theta) = 2/5
sin(theta)/sqrt(1-sin^2(theta)) = 2/5
x/sqrt(1-x^2)=2/5
x^2/(1-x^2)=4/25
25x^2=4-4x^2
29x^2=4
x^2=4/29
x = -2/sqrt(29) because quadrant III
cos(x) = sqrt(1-4/29) = -5/sqrt(29)
tan(theta)=2/5
cos(theta)=-5/sqrt(29)
sin(theta)=-2/sqrt(29)
cot(theta)=5/2
sec(theta)=-sqrt(29)/5
csc(theta)=-sqrt(29)/2
