Answer:
f(-5) = -43
Step-by-step explanation:
Step 1: Define
f(x) = -2x² + 7
f(-5) is x = -5
Step 2: Substitute and Evaluate
f(-5) = -2(-5)² + 7
f(-5) = -2(25) + 7
f(-5) = -50 + 7
f(-5) = -43
Using the distance formula, the area of the rectangle is: 16 units².
<h3>What is the Area of a Rectangle?</h3>
Area of a rectangle = (length)(width).
Given the vertices:
- A(−3, −1)
- B(1, 3)
- C(3, 1)
- D(−1, −3)
Area = (AB)(BC)
Apply the distance formula, 
, to find AB and BC:
AB = √[(1−(−3))² + (3−(−1))²]
AB = √[(4)² + (4)²]
AB = √32
BC = √[(1−3)² + (3−1)²]
BC = √[(−2)² + (2)²]
BC = √8
Area = (√32)(√8) = √256
Area = 16 units²
Learn more about area of rectangle on:
brainly.com/question/25292087
#SPJ1
Answer:
Step-by-step explanation:
From smallest to largest:
Answer:
<h2><em><u>7</u></em><em><u>.</u></em><em><u> </u></em><em><u><</u></em><em><u>B</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>129</u></em><em><u>°</u></em></h2><h2><em><u>8</u></em><em><u>.</u></em><em><u> </u></em><em><u><</u></em><em><u>N</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>85</u></em><em><u>°</u></em></h2>
Step-by-step explanation:
7. <A + <B = 180° <em>[</em><em>Since</em><em> </em><em>Co-interior</em><em> </em><em>angles</em><em>]</em>
=> 51° + <B = 180°
=> <B = 180° - 51°
=><em><u> <B = 129° (Ans)</u></em>
8. <M + <N = 180° <em> </em><em>[</em><em>Since</em><em> </em><em>Co-interior</em><em> </em><em>angles</em><em>]</em>
=> 95° + <N = 180°
=> <N = 180° - 95°
=> <em><u><N = 85° (Ans)</u></em>
Answer:
R- (-10, -3)
S- (-10, -6)
Q- (-5, -3)
P- (-5, -6)
Step-by-step explanation:
Well, Q and P would be the exact same coordinates since that land directly on the reflection line.
Basically, on this graph/question you can count how far away the vertices is from the reflection line.
For example, Point R is 5 units away from the reflection line, therefore I need to count over 5 times to the left from the reflection line for point R. (Idk if that makes sense or not, ask questions if you are confused).
