Answer:
see explanations
Step-by-step explanation:
The given blue line has a slope of m = -1/2.
The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:
(y-y0)=m(x-x0)
substitute values
(y-3) = (-1/2)(x-2)
Expand and transpose
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4 ....................(1)
We choose the second equation b. x+2y=8 and convert to slope-intercept form:
2y=-x+8
y = (-1/2)x + 4, which is exactly equation (1)
So
b. x+2y=8 is the correct answer.
How could it be a fraction? All the numbers are whole & no division? May I assume the #s listed next to each other are multiplied, i.e. 7 2? If so,...
multiply first...
14 * 15 + 10*3 + 1755 (9*13*15)
210 + 30 + 1755
1,995
Answer:
(a2+3a+9)(a2-3a+9)
Step-by-step explanation:
Answer:
Z score associated with sleeping 503 minutes = 0 minutes
Step-by-step explanation:
Given values of sleep per night for adults:
Mean value X = 503
Standard deviation σ = s
FInd:
Z score associated with sleeping 503 minutes
Computation:
⇒ P[X = 503]
⇒ P[(x - X) / σ] = [503 - 503] / s
⇒ Z score value = [0] / s
⇒ Z score value = 0
Z score associated with sleeping 503 minutes = 0 minutes
Answer: E. 40
Step-by-step explanation:
<u>Concept: </u>
- When you encounter questions that state "what percent of [a] is [b]" then it means asking for a fraction of b to a, which is "(b/a)×100%".
- If you are still confused, I would provide some examples
- What percent of 20 is 5: (5/20)×100% = 25%
- What percent of 10 is 2: (2/10)×100% = 20%
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<u>Solve:</u>
(16/40)×100% = 0.4 × 100% = 40%
Hope this helps!! :)
Please let me know if you have any questions
