Answer:
y = -1/2x + 2
Step-by-step explanation:
y = 2x - 3. The slope here is 2. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, just flip the slope and change the sign.
slope = 2 or 2/1.....flip it.....1/2....change the sign...-1/2. So our perpendicular line will have a slope of -1/2.
y = mx + b
slope(m) = - 1/2
(2,1)....x = 2 and y = 1
now we sub and find b, the y intercept
1 = -1/2(2) + b
1 = -1 + b
1 + 1 = b
2 = b
so ur equation is : y = -1/2x + 2 <===
and u can check it with ur points....(2,1)
y = 2x - 3
1 = 2(2) - 3
1 = 4 - 3
1 = 1 (yep...it checks out)
Answer:
<u>364 cm²</u>
Step-by-step explanation:
Area of the figure :
- Area (triangle) + Area (rectangle 1) + Area (rectangle 2) + Area (rectangle 3)
- 1/2 x 20 x 14 + 12 x 9 + 7 x 3 + 19 x 5
- 140 + 108 + 21 + 95
- 248 + 21 + 95
- 269 + 95
- <u>364 cm²</u>
Answer:
f
(
2
)
=
20
Explanation:
To evaluate f
(
2
)
substitute x = 2 into f
(
x
)
f
(
2
)
=
(
×
2
2
−
(
4
×
2
×
x
=
28−
8
=
20
The ratio for the problem above is one to four. A ratio is a relationship between number which describes how many times the second number contains the first number. The problem above gave two metric unit of length which are the centimeter and meter and the ratio between those two is one to a hundred. Therefore, we have a comparison between two amounts which are 75 and 300 and we can conclude a ratio of one to four.
-3/2
slope = rise/run
We can use the two points to calculate rise (y value change) and run (x value change)
slope = (-6)/4 = -3/2