Answer:
Step-by-step explanation:
<u>Add up as fractions:</u>
- 1/2 + 2/5 = Common denominator is 2*5 = 10
- 5/10 + 4/10 =
- 9/10
Option D
Lines that are parallel will have the same slope. Lines that are perpendicular will have slopes that are the negative reciprocal of each other.
<em>(a) </em><span><em>parallel to the line y=2x-4, and has a y-intercept of 7</em>
</span>slope of first line: 2
slope of second line: 2
y=mx + b
<span>y=2x+7
</span>
<em>(b) parallel to the line y-3x=6, and has a y-intercept of -2</em>
y=3x+6
slope of first line: 3
slope of second line: 3
y=mx + b
y=3x-2
<em>(c) </em><span><em>parallel to the line 2x+3y=12, and that passes through the origin</em>
</span>3y=-2x+12
y=-2/3x+4
slope of first line: -2/3
slope of second line: -2/3
origin: (0,0)
y=mx + b
y=-2/3x + 0
y=-2/3x
<em>(d) </em><span><em>perpendicular to the line y=3x+2, and has a y-intercept of 2</em>
</span>slope of first line: 3
slope of second line: -1/3
y=mx + b
y=-1/3x + 2
<em>(e) </em><span><em>perpendicular to the line 3y+4x=18, and that passes through the origin</em>
3y=4x+18
y=4/3x+6
</span>slope of first line: 4/3
slope of second line: -3/4
origin: (0,0)
y=mx + b
y=-3/4x + 0
y=-3/4x
Answer:
(8, 5)
Step-by-step explanation:
Let's take a look at the y-intercept, (0, 5). If the axis of symmetry is x = 4, then the distance from (0, 5) is 4 units. If we reflect this point (0, 5) about the axis of symmetry x = 4, the resulting point is (8, 5). In other words, the distance from the y-intercept to the axis of symmetry is 4 units, and so the distance from the y-intercept must be 4 units plus 4 units, or 8 units.
The only answer choice that matches this is the second one: (8, 5).
Answer:
943,281
Step-by-step explanation:
Just move the 3 up a value
If it's in the ten's place, then move it to the hundred's place value.
If it's in the hundred's place, then move it to thousand's place value.
So on and so on...
Answer:
48.75 shots are made (just round according to the instructions your teacher gave you)
Step-by-step explanation:
In the attached picture I provided two different ways to solving the problem, but if these do not click with you, I am sure you can find other ways of solving that work better for you :)