Answer:
Let's simplify step-by-step.
8.3+3.4y−0.5(12y−3)
Distribute:
=8.3+3.4y+(−0.5)(12y)+(−0.5)(−3)
=8.3+3.4y+−6y+1.5
Combine Like Terms:
=8.3+3.4y+−6y+1.5
=(3.4y+−6y)+(8.3+1.5)
=−2.6y+9.8
Answer:
=−2.6y+9.8
Answer:
there are no solutions as the two straight lines represented by the two equations are parallel, so they have no point in common
Step-by-step explanation:
general equation of a straight line: ax + by + c = 0
the slope (or raise) of a straight line m is equal to -a/b (b=1 a=-2 in this exercise as the equation is 1y=-2x - 4)
so m1 = -2/1 = -1/2
and m2 = -2/1 = -1/2
there is also a geometrical explanation, but I am not sure if it could be too complex
Answer:
<h2>x = 3</h2>
Step-by-step explanation:
Answer: figures C and D.
Explanation:
The question is which two figures have the same volume. Hence, you have to calculate the volumes of each figure until you find the two with the same volume.
1) Figure A. It is a slant cone.
Dimensions:
- slant height, l = 6 cm
- height, h: 5 cm
- base area, b: 20 cm²
The volume of a slant cone is the same as the volume of a regular cone if the height and radius of both cones are the same.
Formula: V = (1/3)(base area)(height) = (1/3)b·h
Calculations:
- V = (1/3)×20cm²×5cm = 100/3 cm³
2. Figure B. It is a right cylinder
Dimensions:
- base area, b: 20 cm²
- height, h: 6 cm
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20 cm²· 6cm = 120 cm³
3. Figure C. It is a slant cylinder.
Dimensions:
- base area, b: 20 cm²
- slant height, l: 6 cm
- height, h: 5 cm
The volume of a slant cylinder is the same as the volume of a regular cylinder if the height and radius of both cylinders are the same.
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20cm² · 5cm = 100 cm³
4. Fiigure D. It is a rectangular pyramid.
Dimensions:
- length, l: 6cm
- base area, b: 20 cm²
- height, h: 5 cm
Formula: V = (base area) (height) = b·h
Calculations:
- V = 20 cm² · 5 cm = 100 cm³
→ Now, you have found the two figures with the same volume: figure C and figure D. ←
Answer:
C
Step-by-step explanation:
