<h2>Answer:
y = - ¹/₂ x OR y - 1 = - ¹/₂ (x + 2) </h2>
<h3>Step-by-step explanation: </h3>
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (4 - 1) ÷ (-8 - (-2))
= - ¹/₂
<u>Finding the Equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 1 = - ¹/₂ (x - (-2))
∴ y - 1 = - ¹/₂ (x + 2)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - 1 = - ¹/₂ (x + 2)
⇒ y = - ¹/₂ x
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Answer:
A. f(x)=3(x+6)^2-75
vertex form is (-6,-75)
Step-by-step explanation:
Khan Academy Quiz #5
Given:
Triangles ABC and DEF are similar triangles.
AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y
To find:
The values of unknown sides, i.e., x and y.
Solution:
We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so



Now,



Similarly,



Therefore, the measure of unknown sides are x = 12 m and y = 30 m.
Answer:
c = 9
Step-by-step explanation:
-2c = -18
/-2 /-2 (Divide both sides by -2)
_______
c = 9
I believe the answer is
C = 62.83cm