For the point P(−19,18) and Q(−14,23), find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.
Answer:
I think it is b because dimension are measurable extent
Answer:
y=-1/2x+1
Step-by-step explanation:
y=mx+b
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
Answer:
Step-by-step explanation:
Yes the company can hire 6 carpenters and 12 pumbers
So first lets find out how much it costs to have 6 carpenter for $220 a day.
$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day.
Now lets find how much it cost to 12 plumbers at $260 a day.
$260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.
The total amount you have to pay to the workers is:
$3120 + $1320 = $4440
Your budget was $4500 so the total costs for the workers is $4440 which means you can hire those workers and you would still have $60.
