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DIA [1.3K]
3 years ago
15

What is the slope for the line y=5x-4?

Mathematics
2 answers:
MatroZZZ [7]3 years ago
6 0

Answer:

m = 5

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Function:   y = 5x - 4

<u>Step 2: Break Function</u>

<em>Identify Parts</em>

Slope <em>m</em> = 5

y-intercept <em>b</em> = -4

Nataly_w [17]3 years ago
3 0

Answer:

M = 5

Step-by-step explanation:

When given an equation like y = 5x - 4, the slope will always be the number that comes before the x (5 in this case). The other number (-4) is the y-intercept.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

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The course for a boat race starts at point A and proceeds in the direction of S52'E for 1 hour at 8 knots to point B and then in
KATRIN_1 [288]

Answer:

20.823 nautical miles

S20°E

Step-by-step explanation:

I assume you mean ° (degrees), not ' (minutes).  There are 60 minutes in 1 degree.

S52°E means "south, 52° east", or 52° east of south.

S50°W means "south, 50° west", or 50° west of south.

1 knots = 1 nautical mile / hour, so the boat first travels 8 nautical miles from A to B, then 4.5 nautical miles from B to C, then finally back to A.

If we say A is at the origin, then the coordinates of B are:

(8 sin 52°, -8 cos 52°)

And the coordinates of C are:

(8 sin 52° − 4.5 sin 50°, -8 cos 52° − 4.5 cos 50°)

(2.857, -7.818)

So the distance from A to C is:

x = √(2.857² + (-7.818)²)

x ≈ 8.323

And the total distance of the race is:

d = 8 + 4.5 + 8.323

d = 20.823

The compass bearing from A to C is:

θ = atan(2.857 / 7.818)

θ ≈ S20°E

8 0
3 years ago
Fifty 6th grade students chose to play outside for free time. This is 25% of the 6th grade class. How many total students are th
Elena L [17]
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800 students are going on a school trip by bus.
Tema [17]
The answer is twenty four
6 0
3 years ago
Read 2 more answers
((Image Included))
Bas_tet [7]

Answer:

=204.13 inches.

Step-by-step explanation:

Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.

Sin 30 =x/hypotenuse.

sin 30 = 27/hyp

hyp= 27/sin 30

=54 inches

We can also find the adjacent as follows.

Cos 30 = adjacent/ 54

Adjacent= 54 cos 30

=46.77 inches

Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.

sin 45= x/hypotenuse

sin 45 =27/hypotenuse

hypotenuse = 27/sin 45

=38.18 inches

The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.

Perimeter = 54+ 46.77+27+ 38.18+38.18

=204.13 inches.

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