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4 years ago

Slope intercept form

Mathematics

1 answer:

san4es73 [151]4 years ago

3 0

Answer:

y = mx + b

Step-by-step explanation:

y is what the solution is, M is your slope, b is your y-intercept :)

example : -2 = 3/5 (5) - 5

y = -2 m = 3/5 x = 5 b = -5

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A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (7, 5). What an

Romashka-Z-Leto [24]

Answer:

0.69473828 radians east of north.

Step-by-step explanation:

Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.

Finding the base length from points (1,0) and (7,0)

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-1)²

d= √6²

d=6 units

Finding the height from points (7,5) and (7,0)

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-7)² + (0-5)²

d=√-5²

d=√25

d=5 units

So you now have a right triangle with base length 6 units and height 5 units.

To get the bearing of rock from ship position you apply the formula for tangent of an angle

Tan Ф = length of opposite side/length of adjustment side

TanФ=5/6

Tan Ф =0.83333333333

Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.

3 0

3 years ago

1960

shutvik [7]

Please make it a little more understandable

8 0

3 years ago

Find the 11th term of the arithmetic sequence. a3 = 20.5 and a8 = 13, a11 = ______. ...?

lianna [129]

In order to solve for a nth term in an arithmetic sequence, we use the formula written as:

an = a1 + (n-1)d

where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.

First, we need to calculate for d from the given values above.
a3 = 20.5 and a8 = 13


an = a1 + (n-1)d
20.5 = a1 + (3-1)d

an = a1 + (n-1)d
13 = a1 + (8-1)d

a1 = 23.5
d = -1.5

The 11th term is calculated as follows:

a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 = 8.5

8 0

3 years ago

Two people share £350 in the ratio 1 : 6. Calculate each share.

EleoNora [17]

Answer:

£50 and £300

Step-by-step explanation:

Sum the parts of the ratio 1 + 6 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of ratio

Hence

1 person receives £50

the other person receives 6 × £50 = £300

6 0

3 years ago

X^6+3x^3-5 write the expression in quadratic form

Art [367]

Step-by-step explanation:

$v = {x}^{3} \\ {v}^{2} + 3v - 5 = 0 \\$

Solving this equation using the quadratic formula, we get two real solutions :

1.1926 or -4.1926

Now we know the values of v , we can calculate x since x is ∛ v

${x}^{6} + 3 {x}^{3} - 5 = 0$

$x = \sqrt[3]{1.1926} = 1.0605 \\ x = \sqrt[3]{ - 4.1926} = - 1.6125$

3 0

3 years ago

Slope intercept form​

Slope intercept form