Answer:
your answer is 17 hope I helped
<h2>
Answer: y = ⁵/₂ x - 13 OR y + 8 =
⁵/₂ x - 5 </h2>
<h3>
Step-by-step explanation:</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.
⇒ if the slope of this line = - ²/₅
then the slope of the perpendicular line (m) = ⁵/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-8) = ⁵/₂ (x - 2)
∴ y + 8 = ⁵/₂ (x - 2)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y + 8 = ⁵/₂ (x - 2)
y = ⁵/₂ x - 13
Transformation involves moving a shape away from its original position
- The transformation to move the cabinet to a new position is translation
- The transformation to place the chair directly across the couch is reflection
<em>The required diagrams to answer this question are missing; so, I will provide a general exam</em>
<em />
<u>(a) Moving the cabinets</u>
The question says that the cabinets are moved away from their original position.
Since terms like <em>"rotation" or "reflection"</em> are not used, then the general transformation used for "moving" is translation.
Hence, the transformation is translation
<u>(b) Changing the position of the chairs</u>
The question says that the chairs would be placed directly across the couch.
The term "directly across" is used for reflection of a shape.
Hence, the transformation is reflection
Read more about transformation at:
brainly.com/question/11709244
<span> -x2 - 2x - 4 which is B</span>
Answer: The answers are in the steps please look carefully.
Step-by-step explanation:
To solve for each value input the value into the function and solve to find f(x)
A. f(-3) = 2(-3)^2 + 2
f(-3) = 2(9) + 2
f(-3) = 18 + 2
f(-3) = 20
B. f(6) = 2(6)^2 + 2
f(6) = 2(36) + 2
f(6) = 72+ 2
f(6) = 74
C. f(-1) = 2(-1)^2 + 2
f(-1) = 2(1) + 2
f(-1)= 2 + 2
f(-1) = 4
D. f(4) = 2(4)^2 + 2
f(4) = 2(16) + 2
f(4) = 32 + 2
f(4) = 34
