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Viktor [21]
2 years ago
5

What is the slope-intercept equation for the line below?y-intercept=(0, 5) slope=1/2

Mathematics
1 answer:
Gre4nikov [31]2 years ago
4 0

Answer:

y=1/2x+5

Step-by-step explanation:

equation y=mx+b

m=slope

b=(y-int)

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The area of a rectangle is 2x (length + breadth) true or false
erma4kov [3.2K]

Answer:

false

Step-by-step explanation:

to get the area of a rectangle u need to multiple length and width.

3 0
2 years ago
Read 2 more answers
The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th
Katarina [22]
<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

"third side is 3 ft longer than the shortest side" so b = a+3

Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

The shortest side is 15 ft

b = a+3 = 15+3 = 18

The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

6 0
3 years ago
Read 2 more answers
A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
How can we use the graph of a logarithmic function to​ verify the domain of a function?PLEASE HELP
guajiro [1.7K]
The function y = log 2 x has the domain of set of positive real numbers and the range of set of real numbers. Remember that since the logarithmic function is the inverse of the exponential function, the domain of logarithmic function is the range of exponential function, and vice versa.
3 0
3 years ago
Find UW.<br><br>(Please explain how you got UW so I know how to do the other ones!)
Aleonysh [2.5K]

Answer:

X = 6

Step-by-step explanation:

DU = DU .....(1)

DV =DW ......(2)

angle VDU = angle WDU .......(3)

so triangle VDU and triangle WDU are Congruent Triangles

thus VU = WU

we solve : 9x + 1 = 7x + 13 , x = 6

7 0
3 years ago
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