<span><span>If you would like to know what is 12/15 in the simplest form, you can calculate this using the following
step:</span><span>
12/15<span> simplifies to 4/5 (the common factor of 12 and 15 is 3, so you can divide both numbers by 3).</span>
<span>The result is 4/5.</span></span></span>
Answer:
<u>Here is the sample space, its size is 4*3 = 12:</u>
- Black 1
- Black 2
- Black 3
- Blue 1
- Blue 2
- Blue 3
- Yellow 1
- Yellow 2
- Yellow 3
- Red 1
- Red 2
- Red 3
Answer:1.56
Step-by-step explanation:
For constant of proportionality of k,
y=(1/k)*x
If y =9,
9=7/k
K=7/9=0.78
y=0.78x
y=0.78*2=1.56
When x
Answer:
D: 2/4
Step-by-step explanation:
Usually when we talk about a point partitioning a segment, we are interested in the ratio of the first segment to the second:
BC : CD = 2 : 2 = 1 : 1
Since this is not an answer choice, we need to "reverse engineer" the answer list to see if we can find an answer that corresponds to a reasonable interpretation of the question.
__
None of the segments is 3 units long, so neither of answer choices A or B makes any sense.
While segment BD is 4 units long, there is no segment that is 1 unit long, so answer choice C makes no sense, either.
There are segments that are 2 units long and a segment that is 4 units long, so if we interpret the question to be "what is the ratio of BC to BD?" then answer choice D is appropriate.
Step 1: Subtract -2 from both sides.<span><span><span><span>
m2</span>+<span>4m</span></span>−<span>(<span>−2</span>)</span></span>=<span><span>−2</span>−<span>(<span>−2</span>)</span></span></span><span><span><span><span>
m2</span>+<span>4m</span></span>+2</span>=0</span>
Step 2: Use quadratic formula with a=1, b=4, c=2.<span>
m=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>
m=<span><span><span>−<span>(4)</span></span>±<span>√<span><span><span>(4)</span>2</span>−<span><span>4<span>(1)</span></span><span>(2)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>
m=<span><span><span>−4</span>±<span>√8</span></span>2</span></span><span><span>
m=<span><span>−2</span>+<span><span><span>√2</span><span> or </span></span>m</span></span></span>=<span><span>−2</span>−<span>√2</span></span></span><span>
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