Slope intercept form is y = mx + b...ur slope will be in the m position and ur y int will be in the b position
examples : slope = 2 , (1,3)....x = 1 and y = 3
y = mx + b
slope(m) = 2
(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 2(1) + b
3 = 2 + b
3 - 2 = b
1 = b
so in slope intercept form, ur equation is : y = 2x + 1
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another example : slope = 3 , (-2,-4)
y = mx + b
slope(m) = 3
(-2,-4)...x = -2 and y = -4
now sub and find b, the y int
-4 = 3(-2) + b
-4 = - 6 + b
-4 + 6 = b
2 = b
so ur equation is : y = 3x + 2
Answer:
there a 42 days in 6 weeks
Step-by-step explanation:
multiply 6 x 7= 42
Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.
Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
There are three right triangles we can work with.
Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation

Triangle with sides 27, x and y. Here y is the hypotenuse so we get

Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get

. That is,

We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation:

and replace

and

using expressions that contain an expression in terms of x from the first two equations we came up with.
That gives us:

which we solve for x as follows:

Now that we know x we can substitute 36 for x into the equation

and solve for z as follows:

This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
The council tax bill before the increase is £1240
The equation that represents the percentage increase in council tax bill is :
percentage increase x t = £62
Where t represents the initial council tax bill - council tax bill before the 5% increase
5% x t = £62
0.05 x t = £62
Divide both sides of the equation by 0.05
t = £62 / 0.05 = £1240
To check if the answer derived is correct : 5% x 1240 = 62.
A similar question was answered here: brainly.com/question/12066598?referrer=searchResults