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katovenus [111]
3 years ago
14

12. The point P lies on a line through the midpoint of AB and perpendicular to AB. If AP=15 in., what is the length PB? How do y

ou know?​
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

PB = 15

Step-by-step explanation:

A midpoint is a point in the center of a line. Since P is the midpoint of AB, the length of AP = PB. Therefore, if AP = 15, PB = 15.

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What is the range of the given data set? 15,16,17,18,19,20,21
NemiM [27]
The range is 6. because the highest number is 21 and the lowest is 15.
 (21-15=6). hope i helped !
8 0
3 years ago
Using the linear equation 4x–3y=12, express: b x in terms of y
Amiraneli [1.4K]

Answer:

y =  [4(x-3)]/3

Step-by-step explanation:

4x = 12+3y

3y = 4x-12

y =  [4(x-3)]/3

Best regards

8 0
2 years ago
Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r
kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours)        Dinghy Rowboat        Labor Available

Metal Work 2             3                       120

Painting         2              2                        110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = 2x+3y

So, total hours for Painting = 2x+2y

So, equation becomes:

2x+3y\leq 120

2x+2y\leq 110

x\geq 0

y\geq 0

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0
3 years ago
An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's
ss7ja [257]

Answer:

116.31468544 mg ibuprofen left

Step-by-step explanation:

Since there are 800 mg at the beginning and the system decreases by about 32% of the ibuprofen

After 1 hour

→ 800 - (800x32/100) = 800 - 256 = 544 mg ibuprofen left

After 2 hours

→ 544 - (544x32/100) = 544 - 174.08 = 369.92 mg ibuprofen left

After 3 hours

→ 369.92 - (369.92x32/100) = 369.92 - 118.3744 = 251.5456 mg ibuprofen left

After 4 hours

→ 251.5456 - (251.5456x32/100) = 251.5456 - 80.494592 = 171.051008 mg ibuprofen left

After 5 hours

→ 171.051008 - (171.051008x32/100) = 171.051008 - 54.73632256 = 116.31468544 mg ibuprofen left

3 0
3 years ago
A spinner with seven equal sized sections was used to play a game
zloy xaker [14]

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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