I am stuck on a question I would like some help with

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

To find linear equations, we must solve for m and b and substitute them into slope-intercept form.

We're given:

Input the slope into slope-intercept form:

[tex]y=mx+b\\\\y=\dfrac{3}{2}x+b[/tex]

Solve for the y-intercept by inputting the given point (-6,-5):

[tex]-5=\dfrac{3}{2}(-6)+b\\\\-5=-9+b\\\\4=b[/tex]

Therefore, the y-intercept is 4. Plug this back into our original equation:

[tex]y=\dfrac{3}{2}x+4[/tex]

[tex]y=\dfrac{3}{2}x+4[/tex]

Answer:

Line [tex]a[/tex] and line [tex]c[/tex] are parallel to each other.

Line [tex]b[/tex] is perpendicular to line [tex]a[/tex].

Line [tex]b[/tex] is perpendicular to line [tex]c[/tex].

Step-by-step explanation:

Rewrite the equation of each line in the slope-intercept form [tex]y = m\, x + b[/tex] to find the slope [tex]m[/tex] of that line.

In the slope-intercept form, [tex]y[/tex] need to be on the left-hand side of the equation while [tex]x[/tex] need to be on the right-hand side. The coefficient of [tex]y[/tex] must be [tex]1[/tex]. The slope of the line would then be equal to the coefficient of [tex]x[/tex].

For example, the equation of line [tex]a[/tex] could be rewritten in slope-intercept form as [tex]y = 3\, x + 5[/tex]. The coefficient of [tex]x[/tex] is [tex]3[/tex], so the slope of this line would be [tex]m_{a} = 3\![/tex].

Similarly, rewrite to obtain the the slope-intercept equation of line [tex]b[/tex]:  [tex]y = (-1/3)\, x + (2/3)[/tex]. The slope of this line would be [tex]m_{b} = (-1/3)[/tex].

The equation of line [tex]c[/tex] is already in slope-intercept form. The slope of that line would be [tex]m_{c} = 3[/tex].

Let [tex]m_{1}[/tex] and [tex]m_{2}[/tex] denote the slopes of two lines in a Cartesian plane.

In this question, the slope of line [tex]a[/tex] and line [tex]c[/tex] are the same: [tex]m_{a} = m_{c}[/tex]. Thus, line [tex]a\![/tex] and line [tex]c\![/tex] would be parallel.

The product of the slopes of line [tex]a[/tex] and line [tex]b[/tex] is [tex]m_{a}\, m_{b} = 3 \times (-1/3) = (-1)[/tex]. Thus, line [tex]a\![/tex] and line [tex]b[/tex] are perpendicular to each other.

Similarly, line [tex]b[/tex] and line [tex]c[/tex] are perpendicular to each other because the product of their slopes is [tex](-1)[/tex].

Answer:

$1500

Step-by-step explanation:

January has 31 days, so after day 25 there are 6 days left. You still need $9000. 9000/6=1500.

If 7 feet below the surface of a river is written as -7 then 0 would be the surface of the river.

Answer:

180 months

Step-by-step explanation:

15x12=180

Answer:

180 months

Step-by-step explanation:

Hope I helped:)

-Adiel

Answer:

C. 12

Step-by-step explanation:

[tex]4x=2x+6[/tex]

[tex]4x-2x=6[/tex]

[tex]2x=6[/tex]

[tex]x=3[/tex]

~

[tex]AB=4x\\=4(3)\\=12[/tex]

~

Therefore, your answer is C) 12 !!!!!!

Answer:

Step-by-step explanation: In a total eclipse of the moon, the inner part of Earth's shadow, called the umbra, falls on the moon's face. At mid-eclipse, the entire moon is in shadow, which may appear blood red. ... In a penumbral lunar eclipse, only the more diffuse outer shadow of Earth – the penumbra – falls on the moon's face.

Answer:

Step-by-step explanation:

your answer if 4

Answer:

55°

Step-by-step explanation:

In the triangle towards the bottom-left, we can see that it is an iscosceles triangle, which means that the two angles opposite of those two sides are also equal. Along with this, a triangle will also only have 180° for the sum of all of its angles.

When you put another x in the angle next to the 37°, you get an equation similar to:

[tex]x+x+37+33 = 180\\2x + 70 = 180\\2x = 110\\x = 55[/tex]

x in this case will then be 55 degrees.

Answer:

15 i think but im sry if i get it wrong

step-by-step explanation:

Answer:

id say a geometric sequence

Step-by-step explanation:

you multiply 3 to get the next number of pies

If we plot it, we see that the two inequalities have no commonality in any range of numbers.

Thus I think it never alerts.(( I'm not sure about it ))

Answer and Step-by-step explanation:

Solution: given:

(a)

Mean = λ = µ = 2permm3

By using formula:

P(x = k) =  λk e- λ  / k!

P ( not A) = 1 – p(A)

Passion probability at k = 0

P( x = 0) = 20 e-2/ 0!

               = 0.1353

Probability of at least one inclusion:

P(x≥1) = 1- p(x=0) = 1 – 0.1353

            = 0.864

(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.

Mean = λ = µ = 2 per mm3

Inclusion in 4 cubic mm = 4 x 2 per 4 mm3 = 8 per 4 mm3

P(not A) = 1 – p(A)

Passion probability at k = 0,1,2

P(x=0) = 80 e-8 / 0!

        = 0.00034

P(x = 1) = 81 e-8 / 1!

            = 0.00272

P(x = 2) = 82 e-8 / 2!

              = 0.01088

Probability at least 3 inclusion:

P(x≥3) = 1 – p(x<3) = 1 – p(x = 0) – p(x =1) – p(x = 2)

            = 1 – 0.00034 – 0.00272 – 0.01088

          = 0.98606

(c) . Volume of material to inspect such that the probability of at least one inclusion is 0.98

The probability of x ≥ 1 has to be equal to 0.98

P(x ≥ 1) = 0.98

P(x = 0) = p(x < 1)

            = 1 – p(x≥ 1) = 1 – 0.98

            = 0.02

Poission probability at k = 0

P(x = 0) = (2 n )0 e-2n / 0! = e-2n

e-2n = 0.02

taking ln on both sides :

-2 n = ln e-2n = ln 0.02

Divided by -2,

n = ln 0.02 / -2

    = 1.955

Volume is 1.955 mm3.

(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.

The probability of x ≥ 1has to be at least 0.98

P(x ≥ 1 )≥ 0.98

P(x = 0 ) = p(x < 1 ) = 1 – p(x≥1) =  1- 0.98

           = 0.02

Poisson probability at k = 0

P(x = 0) = λ0 e-λ / 0! = e-λ

e-λ ≤ 0.02

taking ln on both sides:

ln e-λ ≤ ln 0.02

λ = ln 0.02 / -1

    = 3.912

Answer:

There is no particular formula for integer as it is nothing but a set of numbers. But there are certain rules when we perform any mathematical operations like addition, subtraction, etc on integers: Adding two positive integers will always result in a positive integer.

Step-by-step explanation:

Answer:

we is right

Step-by-step explanation:

Answer:

Vt = 58.86 m/s

Step-by-step explanation:

Stunt height = 10000 m

Stunt mass = 60 kg

force of gravity = 9.81 m/s^2

proportionality constant λ = 10

Forces acting on the stunt double : Gravity and air resistance

attached below is the detailed solution

Vt = 58.86 m/s

Answer:

x = -10

Step-by-step explanation:

2(x + 3) = x - 4

2x + 6 = x - 4

x = -10

Answer:

26x + 25

Step-by-step explanation:

3/4(8x + 12) + 4/5(25x + 20)

Distribute

3/4(8x) + 3/4(12) + 4/5(25x) + 4/5(20)

24/4x + 36/4 + 100/5x + 80/5

Reduce the fractions

6x + 9 + 20x + 16

Combine like terms

26x + 25

1/3, 2/4, 1/5, 9/3, etc....

Answer: T = z - 3

Step-by-step explanation: "T" represents the total amount of money he has left, so T = z [Whatever amount he had to begin with] - 3 [The amount he lost]. Hope that this helps!

Another way to show this equation is with the slope-intercept for of y = x -3

Answer:

Just move the graph u

Step-by-step explanation:

Z (-3,0)

L(0,3)

J(-5,2)

BRAINLIEST?!

Answer:

iii. [tex](2x-9)+5t[/tex]

iv. [tex](2x-9+5t)-\frac{2}{5}n^3[/tex]

v. [tex]\frac{(2x-9+5t)-\frac{2}{5}n^3}2[/tex]

Therefore the answer is U.

I really hope this helped you.

Answer:

A,C,D

Step-by-step explanation:

Answer:

X=115/22

Step-by-step explanation:

22x-15=100

22x=100+15

22x=115

X= 115/22

Answer:

4 : 7

Step-by-step explanation:

Answer:

in both equatons, x=1

Step-by-step explanation:

there is no x on the right side of the equation, so x never changes. it is 1.

Answer:

-1

Step-by-step explanation: