Answer:
Step-by-step explanation:
To find the slope of the perpendicular line, we must first find the slope of the given line.
This can be done by rearranging the equation into the slope intercept form.
2x +3y= -3
3y= -2x -3
y= -⅔x -1
Thus, the slope of the given line is -⅔.
The slope of the perpendicular line is the negative reciprocal of the given line.
Slope of perpendicular line 
What is slope-intercept form?
- y= mx +c, where m is the slope and c is the y-intercept
- This can be achieved by making y the subject of formula
Negative reciprocal
- The reciprocal of m is
- The negative reciprocal of m is
Negative reciprocal of -⅔
Answer:
option A
Step-by-step explanation:
X- axis
Answer:
- about 243.9 cm³
- 35828 4/7 cm² = 3 102/175 m²
Step-by-step explanation:
<h3>1.</h3>
The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...
V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³
The 8-cm cube has a volume of ...
V = s³
V = (8 cm)³ = 512 cm³
The volume of the empty space is the difference of these volumes:
space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³
space ≈ 243.9 cm³
__
<h3>2.</h3>
The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.
top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²
The lateral area of the cylinder is ...
LA = 2πrh
= 2(22/7)(30 cm)(145 cm) = 27342 6/7 cm²
Then the total surface area of the birdbath is ...
total area = top+bottom area + lateral area
total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²
= 3 102/175 m²
Use Multiplication.
The total cost of paving is 2176.
Answer:
x=1
Step-by-step explanation:
2x=5x-3
subtract 5x from both sides
-3x=-3
x=1
