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Answer:6y= -5x + 3

Step-by-step explanation:

The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

5y = -6x + 2

The slope of the equation is -6/5.

Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as

y = mx + c

The product of the slope of the perpendicular lines is equal to a negative one.

The slope of the perpendicular line will be

(-6/5) m = -1

         m = 5/6

Then the equation will be

y = (5/6)x + c

Let the equation is passing through the origin, then we have

6y = 5x

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

0.938

Step-by-step explanation:

Using the poisson probability relation:

P(x = x) = (e^-λ * λ^x) ÷ x!

λ = 3 per half an hour = 6 cars per hour

P(x ≥ 3) = 1 - [p(x = 0) + p(x = 1). + p(x = 2)]

P(x ≥ 3) = (e^-6* (6^0 + 6^1 + 6^2/2!))

P(x ≥ 3) = 1 - (e^-6 * (1 + 6 + 18)

P(x ≥ 3) = 1 - (e^-6 * 25)

P(x ≥ 3) = 1 - (0.0024787 * 25)

P(x ≥ 3) = 1 - 0.0619688

P(x ≥ 3) = 0.9380311

= 0.938

Answer:

b

Step-by-step explanation:

the following equations can be determined from the question

16n + 8o = 336 equation 1

n + o = 30 equation 2

where n = new books

o = old books

Multiply equation 2 by 8

8n + 8o = 240 equation 3

subtract equation 2 from 1

8n = 96

n = 12

substitute for n in equation 2

12 + o = 30

o = 18

Answer:

B. 12 new, 18 used

Step-by-step explanation:

Hope this helps!

Answer:

1.10

Step-by-step explanation:

Answer:

$1.09

Step-by-step explanation:

3 10 dollar bills is $30

$30 - $25.34 - $2.99 - $0.58 = $1.09

Answer:

250 in²

Step-by-step explanation:

There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.

4( l x b) + 2( l x b)

4( 10 x 5) + 2(5 x 5)

4(50) + 2(25)

200 + 50

Therefore 250 in²

Answer:

the two points be

(0,0) and (1,-3)

slope [m]=[-3-0]/[1-0]=-3

constant rate is-3.

Answer:

20%

Step-by-step explanation:

Probability is always expressed as a part of a whole, thereby in fractions or percentages. From the statistics gathered, it said that 80% of the time, the plane arrives right on schedule in El Centro. That means that the probability of NOT arriving on time is the other portion, which is 20%. The answer is 20%.

Answer:

9b+5cb

Step-by-step explanation:

Answer:

1.a=5cm

Surface area :6a²=6×5²=150cm²

2.r=3cm

h=5cm

total surface area of cylinder =2πr(r+h)

=2π×3(3+5)=48π cm²

3.

l=4m

b=5m

h=2m

now.surface area =2(lb+lh+bh)

=2(4*5+4*2+5*2)

=76m²

4.

r=6cm

surface area =4πr²=4*π*6²=144πcm²

5.

slant height (S)=8cm

length =breadth=(L)=4cm

Surface area of pyramid =area of base + 2* area of trainglular face

=L²+2*S*L

=4²+2*8*4

=80cm²

Answer:

46

Step-by-step explanation:

Replace n by 10 in the rule a(n) = -9 + 5(n - 1):

a(10) = -9 + 5(9) = 45 - 9 = 46

Answer:

2nd

Step-by-step explanation:

bec 1\8  = 0.125 so it must be close more to 0

and the 1.33 is bigger than 1.25

Answer:

[tex]2\pi \times r[/tex]

1. 2×3.14×80

=502.4 m

4. 90 pound on Earth weighs 34 pounds on Mars.

If it weighs 135 pounds on earth, it will weigh x pounds on Mars

=90×=135×34

=90x=4590

=x=4590÷90

x=51 pounds

So therefore it weighs 51 pounds on Mars.

Step-by-step explanation:

in question 4 you have to cross multiply

Answer:

The perimeter, in inches, is 32.

Step-by-step explanation:

Since this shape is a square, we know that all sides are equal.

The information given to us is that one side of the square measures 8 inches.

8 + 8 + 8 + 8 = 32

Answer:

c   32

Step-by-step explanation:

Squares have 4 sides of the same length

8 * 4 = 32

Answer:

Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.

Step-by-step explanation:

Answer:

AOB=40°

COD=90°

BOD=130°

AOD=180°

Answer:

[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is [tex]a(t) = 2t + 5[/tex]

Velocity:

[tex]v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K[/tex]

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

[tex]v(t) = t^2 + 5t - 3[/tex]

Position:

[tex]s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K[/tex]

In which K, the constant of integration, is the initial position. Since it is 12:

[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]

Answer:

If there's no other variables involved.

x=1

Answer:

x = 1

Step-by-step explanation:

x = 4 - 3

4 - 3 = 1

Hence, x = 1

Answer:

9yx

Step-by-step explanation:

product means multiply.

nine, y and x

9yx

Answer:

20.5

Step-by-step explanation:

By the Triangle Midsegment Theorem, the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. Therefore, (1/2)FH ≡ IH, (1/2)HG ≡ HJ. Knowing that IJ = 8 gives you the presidence to solve for the perimeter.

9514 1404 393

Answer:

  8.4

Step-by-step explanation:

The given segment relations tell you that the parallel lines are equally spaced. This means that ...

  WV = 3×WY

  WV = 3×2.8

  WV = 8.4

Answer:

b. because if there is a bigger population the sample will be more random

Answer:

Step-by-step explanation:

The integers are: x, x+2

Them, x + x+ 2 = 36

2x +2 = 36

Answer:

0

Step-by-step explanation:

given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10

This can be written in the form AX = b

A is a 2 by 2 matrices

b is a column matrix

Taking the determinant of A

[tex]A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right][/tex]

We are to finds the determinant

|A| = 1(1) - 1(1)

|A| = 1 -1

|A| = 0

hence the required determinant is 0

Answer:i think that it is B

u^2 - 10u + 51=0

Step-by-step explanation:

Answer:

7.2

Step-by-step explanation:

just divide the total weight by 2 and add 2.6. after adding 2.6 you subtract that weight from the total.

Answer:

y=sin(°/3) means that y equals the sine of a given degree divided by 3.

Answer:

31 feets

Step-by-step explanation:

Given that :

Telephone shadow Ts = 12 feets

Man's height, Mh= 6 feets

Man's shadow, Ms = 2 feets 4 inches

Height of telephone, Th =?

Recall :

1 foot = 12 inches

x foot = 4 inches

12x = 4

x = 4/12 = 1/3 inches

Hence, man's shadow = 2 1/3 feets =

Using cross multiplication :

Mh / Ms = Th / Ts

6 / 7/3 = Th / 12

6 / 2.33333 = Th / 12

12 * 6 = 2.33333 * Th

72 = 2.33333 Th

Th = 72 / 2.333333

Th = 30.85

Height of telephone pole = 31 feets