1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yuradex [85]
3 years ago
5

A man (M) is standing halfway between a tree (T) and a lamppost (L). What is the value of x?

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer :

The value of x is 10.

Explanation :

Given that,

TM = (2x+8) m

ML = (3x-2) m

If a man (M) is standing halfway between a tree (T) and a lamppost (L).

The half distance is TM and half distance is TL.

So, Both half distance will be equal.

We need to calculate the value of x

Using given data

TM=ML

Put the value into the formula

2x+8=3x-2

2x-3x=-8-2

-x=-10

x=10

Hence, The value of x is 10.

You might be interested in
FOIL<br> MULTIPLY AND SIMPLIFY <br><br> 4t(2t+7)(t−3)
lesya692 [45]
8 t ^ 2 + 4 t ^ 2 - 8 4 t
3 0
3 years ago
The vertices of a polygon are P(0,4), Q(5,4), R(5-3) and S(0,-3). What is the perimeter of the polygon? (Show work please)
natali 33 [55]

Answer:

The perimeter of the polygon are

PQ = 5

RS = 5

PR = √74 = 8.60

QS = √74 = 8.60

QR = 7

Step-by-step explanation:

To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula

d = √(x _2 - x_1)^2 + (y_2 - y_1)^2

Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = 4

PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2

= √ 5^2 + 0^2

= √ 25

= 5

Between R( 5 , -3) and S ( 0 , -3)

x_1 = 5

y_1 = -3

x_2 = 0

y_2 = -3

RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2

= √( -5)^2 + ( -3 + 3)^2

= √ 25 + 0

= √ 25

= 5

Between P( 0 , 4) and R (5 , -3)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = -3

PR = √( 5 - 0)^2 + ( -3 - 4)^2

= √ 5^2 + (-7)^2

= √ 25 + 49

= √ 74

= 8.60

Between Q ( 5 , 4) and S(0 ,-3)

x_1 = 5

y_1 = 4

x_2 = 0

y_2 = -3

QS = √ ( 0 - 5)^2 + ( -3 - 4)^2

= √ -5^2 + -7^2

= √ 25 + 49

= √ 74

= 8.60

Between Q( 5,4) and R(5 , -3)

x_1 = 5

y_1 = 4

x_2 = 5

y_2 = -3

QR = √ (5 - 5)^2 + ( -3 - 4)^2

= √ 0^2 + (-7)^2

= √ 0 + 49

= √ 49

= 7

5 0
4 years ago
P(x) = x2 + x +1<br> How many terms does this polynomial have?
Tamiku [17]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
Round 5,600,679 to the nearest thousand
vampirchik [111]
The answer is 5,601,000
4 0
3 years ago
2. Solve 10^6x = 93. Round to the nearest ten-thousandth. (1 point)
Anit [1.1K]
2. 0.3281
3. 1.31

2. 10^(6x) = 93
For this problem, using a calculator makes it quite simple. What you want is the power that you can raise 10 to that gives you 93. That value is the logarithm of 93 to base 10. So
10^(6x) = 93
log(10^(6x)) = log(93)
6x = 1.968482949
x = 0.328080491
x = 0.3281

3. This problem is both trickier and easier than the previous. All you need to do is plot the function on your calculator and look for the answer that's nearest which is 1.31, you could also get a more precise answer by calculating the logarithm to base 5.5 of 805. You won't find such a logarithm function on your calculator, but that isn't a major problem since you can easily convert a logarithm from any base to any other base by simply dividing by the logarithm of the desired base. So:
5.5^(3x) = 805
log(5.5^(3x)) = log(805)
log(5.5^(3x))/log(5.5) = log(805)/log(5.5)
log to base 5.5 of 5.5^(3x) = log(805)/log(5.5)
3x = 2.90579588/0.740362689
3x = 3.92482755
x = 1.30827585
x = 1.31
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the distance between the points (1, 2) and (4, 3). <br><br> √7 <br> √10<br> 5√2
    13·2 answers
  • Which expression shows the prime factorization of 20?
    9·1 answer
  • A small publishing company is planning to publish a new book. The production cost to include a one-time fixed cost and variable
    12·1 answer
  • A group has 25 people 13 are girls what is ratio of boys to girls in group​
    8·1 answer
  • 2. What do we call the little lines that divide number lines into equal parts?
    13·1 answer
  • The natural numbers are a subset of all of the following sets except the _____.
    15·2 answers
  • Please Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!
    13·1 answer
  • A line has this equation: y = -8x + 8,
    13·1 answer
  • The sum of x and 3 all divided by 2 is equal to x squared
    12·1 answer
  • Helppp plssssss math
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!