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alexandr402 [8]
3 years ago
9

Line AB has a slope of -3 with point A at (2,4) and Point B at (x,-2). What is the value of the x-coordinate of Point B?

Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

A. x = 4

Step-by-step explanation:

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(845,230) +-834 -0.4556=
Levart [38]
<span>(845,230) +-834 -0.4556= </span>844395.5444

7 0
3 years ago
Read 2 more answers
2•log(x – 3) = log 25
AfilCa [17]

Answer:

Step-by-step explanation:

2log(x-3)=log25

log(x-3)²=log25 cancel out log on both sides

(x-3)²=25

x²-6x+9=25

x²-6x+9-25=0

x²-6x-16=0 factorize

x²+2x-8x-16=0

x(x+2)-8(x+2)

(x-8)(x+2)=0

x-8=0 or x+2=0

x=8 or x=-2

x=-2 cannot be considered because of the -ve sign.

x=8.

check

2log(x-3)

2log(8-3)

2log5

log5²=25

therefore LHS=RHS

8 0
3 years ago
HEY GUYS I NEED HELP ASAP PLZZ! 20 points to the person who can give me the right answer first!!
Ivanshal [37]

Answer:

28 inches of the board

3 0
3 years ago
63 is 75% of what number?<br>  <br> Enter your answer in the box.
Viefleur [7K]
75% of x = 63 

<span>75/100 * x = 63 </span>

<span>So dividing by 75 / 100 on both sides </span>

<span>x = 63 / 75 / 100 </span>

<span>x = 63*100/75 </span>
<span>x = 84 </span>
<span>The number is 84 </span>

<span>So 75% of 84 = 63! </span>

<span>Hope that helps!</span>
3 0
3 years ago
Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t
amm1812

Answer:

<u>Benjamin's rate in mph was 6.44</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

  • Rate or speed of Adam = 6 mph
  • Ten minutes later, Benjamin started to run from city B towards city A
  • Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

<u>Rate = 6.44 mph (rounding to the next hundredth)</u>

5 0
3 years ago
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