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2 years ago

Find the slope and y- intercept of points (-2,3) and (2,-3)

Mathematics

1 answer:

iren [92.7K]2 years ago

5 0

Answer:

slope = -3/2

y intercept = (0,0)

equation, y = -3/2x+0

Step-by-step explanation:

y2-y1/x2-x1 = -3-3/2--2 = -6/4 = slope = -3/2

y intercept = (0,0)

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3x−8 ≤ 23 OR −4x+26≥6 find x

ElenaW [278]

Answer:

3x-8<=23

3x<=23+8

3x< =31

X< = 10.3

-4x+26>=6

-4x>=-20

X>=5

6 0

3 years ago

I need help on number 8 and please show how you solved it :))

dmitriy555 [2]

Answer:

32.04% to 2 decimal places.

Step-by-step explanation:

As a fraction it is 17.3 / 54

To get the percentage we multiply by 100:

= (17.3/54) * 100

= 32.04%

8 0

2 years ago

Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

7 0

2 years ago

Find the value of Y in the figure above .

Blizzard [7]

9514 1404 393

Answer:

x = 37
y = 22

Step-by-step explanation:

Consecutive interior angles are supplementary.

(x -20)° +(4x +15)° = 180°

5x = 185 . . . . . . . . . . . . . . divide by °, add 5

x = 37 . . . . . . . . . . . . divide by 5

74° +(5y -4)° = 180°

5y = 110 . . . . . . . . . . . divide by °, subtract 70

y = 22 . . . . . . . . . . divide by 5

3 0

3 years ago

4m-2(3+5m) in standard form

NNADVOKAT [17]

Simplified: -6m-6
Factored: 6(m+1)

3 0

2 years ago