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4 years ago

What is the slope of the line through(-5,-10) and (-1,5)

2 answers:

7 0

Put the values of above points in the equation of straight line point-slope form m=(y2-y1)/(x2-x1) m=(-5-(-10))/(-1-5) m=(-5+10)/(-6) m=5/-6 m=-5/6. Slope of the line = m = -5/6 so the answer is 5/6

Misha Larkins [42]4 years ago

3 0

Slope = (y2-y1)/(x2-x1).

So, (5-(-10))/((-1)-(-5) = 15/4.

Therefore, the slope is 15/4.

Hope this helps!

You might be interested in

Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller shar

Dafna1 [17]

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let x = the amount of one share. The other share is 1785 - x. You don't have to worry about which is smaller--that part will work out automatically!

The two shares are in the ratio of 2:3, so set up the proportion

$\frac{x}{1785-x}=\frac{2}{3}$

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.

$(3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714$

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

5 0

3 years ago

5•9-10 ———— 5-(-2).

Alenkinab [10]

Answer:

35/7 or 5

Step-by-step explanation:

so you multiply 5 and 9 which is 45- 10 which is 35 but then its 5-(-2) which when doing this a variable minus a negative makes it a positive so then its 5+2 which is 7 then you have 35/7 or 5

4 0

3 years ago

What is the missing dimension of a rectangle or prism with the following dimensions and volume? Length 3 cm width 5 cm volume 45

olasank [31]

Hello!

In order to find out the volume of any prism, you are to do length x width x height.

Because we only know the length and the width, we can multiply those to get started. 3 x 5 is 15, so we know that's what we can start with.

Because we know the volume, all we have to do is do h x 15 = volume (45). Now, what is height?

In order to find the height, we must find a number that, when multiplied by 15, equals 45.

So we can try out 3, which when multiplied by 15, equals 45.

That means 3 is your height.

Hope I helped! :)

3 0

3 years ago

Why is the quotient -100/(-5) the same as the quotient 100/5

Tatiana [17]

Answer:The quotient of -100 and -5 is the same as the quotient of 100/5 because if you divide a negative number by a negative number, you will get a positive number and the same way if you divide a positive number by a positive number you will get a positive number.

Step-by-step explanation:

-100/-5 = 20

100/5 = 20

8 0

3 years ago

Log based question, i just need help with parts b and c

Tanya [424]

Answer:

b) There is translation 3 units to the right and 1 unit up

c) The domain is {x I x > 3}

The equation of the asymptote is x = 3

Step-by-step explanation:

* Lets revise the rule of the translation

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

b) ∵ f(x) = $log_{2} (x-3)+1$

∵ The parent function is $log_{2} x$

∴ x is changed to (x - 3), that means there is a translation 3 units

to the right

∵ We add the parent function by 1, that means there is a translation

1 unit up

* There is translation 3 units to the right and 1 unit up

c) To find the domain of the function, find the values of x which

make the function undefined

∵ $log_{2}(0)$ is undefined

∴ x - 3 can not be 0

∵ x - 3 = 0 ⇒ add 3 to both sides

∴ x = 3

∴ The domain of the function is all real number greater than 3

* The domain is {x I x > 3}

∵ x can not be 3

∴ There is a vertical asymptote, its equation is x = 3

* The equation of the asymptote is x = 3

# Look to the attached graph for more understand for the domain

and the equation of the asymptote

4 0

3 years ago