9514 1404 393
Answer:
see below
Step-by-step explanation:
It is easiest to compare the equations when they are written in the same form.
The first set can be written in slope-intercept form.
y = 2x +7
y = 2x +7 . . . . add 2x
These equations are <em>identical</em>, so have infinitely many solutions.
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The second set can be written in standard form.
y +4x = -5
y +4x = -10
These equations <em>differ only in their constant</em>, so have no solutions.
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The third set is already written in slope-intercept form. The equations have <em>different slopes</em>, so have exactly one solution.
Answer:
- the given dimension was used as the radius
- 5.57 m³
Step-by-step explanation:
The volume of a sphere can be found using the formula ...
V = 4/3πr³ . . . . . where r is the radius
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The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.
If 2.2 m is used as the radius, the volume is computed to be ...
V = 4/3π(2.2 m)³ ≈ 44.58 m³
This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.
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The correct volume, using 2.2 m as the diameter, is ...
V = 4/3π(1.1 m)³ ≈ 5.57 m³
Answer:
One solution is to find x and y by doing the following:
Step-by-step explanation:
Let's solve for x.
3x+2y=4
Step 1: Add -2y to both sides.
3x+2y+−2y=4+−2y
3x=−2y+4
Step 2: Divide both sides by 3.
x=-2/3y+4/3
Lets solve for y.
3x+2y=4
Step 1: Add -3x to both sides.
3x+2y+−3x=4+−3x
2y=−3x+4
Step 2: Divide both sides by 2.
y= -3/2x+2
It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.
Answer:
x = 5
Step-by-step explanation:
=(-5-√-75)/2=(-5-5i√ 3 )/2= -2.5000-4.3301i
x =(-5+√-75)/2=(-5+5i√ 3 )/2= -2.5000+4.3301i
x = 5
source tiger-algebra.com
