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Ilia_Sergeevich [38]

3 years ago

11

Write the equation in slope-intercept form, of the line described. Has the same slope as the equation y=x+3 and y-intercept (0,-

1)

1 answer:

labwork [276]3 years ago

4 0

Answer:

Hello :

the slope of the line when equation y = x +3 is : 1

the equation in slope-intercept is : y - (-1) = 1 (x -0)

y + 1 = x

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What is the value of c?

BaLLatris [955]

Answer:

The value of C is 3

Step-by-step explanation:

all of the angles of a triangle add up to 180°. first you would add 92 and 46 and get 138. You then subtract 180 and 138 and get 42. then you divide 42 by 14 and get 3. then substitute 3 back into the equation and you get 180.

8 0

2 years ago

If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?

Oduvanchick [21]

$\large\underline{\sf{Solution-}}$

<u>Given:</u>

$\rm \longmapsto x = a \sin \alpha \cos \beta$

$\rm \longmapsto y = b \sin \alpha \sin \beta$

$\rm \longmapsto z = c\cos \alpha$

Therefore:

$\rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta$

$\rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta$

$\rm \longmapsto \dfrac{z}{c} = \cos \alpha$

Now:

$\rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} }$

$\rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha$

$\rm = 1$

<u>Therefore:</u>

$\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1$

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2 years ago

Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.

vredina [299]

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

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3 years ago

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2 years ago

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If x is 5 what is the value of 4x?

Bond [772]

Answer:

The answer is 20

Step-by-step explanation:

This is because 4(5)= 20

Hope this helps :)

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2 years ago

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