Need HELP!!!!!! Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer.

Answer:12-9=3

Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9

Answer:

242

Step-by-step explanation:

Here, we want to calculate t15 + t25

Mathematically, nth term is

a + (n-1)d

here, a = 26 and d = 31-26 = 5

t15 = 26 + (15-1)5

t15 = 26 + 70

t15 = 96

t25 = 26 + (25-1)5

t25 = 26 + 120

t25 = 146

t15 + t25 = 96 + 146 = 242

Answer:

[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Apply the correct formula to check whether two events are independent or not

If the events A and B are independent, then:

P(A) x P(B) = P(A⋂B)

The formula of conditional probability:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

Step 2: Perform the calculation

a)

P(A) x P(B) = (1/6) x (1/4) = 1/24

P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

b)

P(A) x P(B) = (1/2) x (1/4) = 1/8

P(A⋂B) = 1/8

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

c)

P(A) x P(B) = (1/2) x (1/6) = 1/12

P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

d)

P(A) x P(B) = (1/3) x (1/6) = 1/18

P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

Hope this helps!

:)

Answer:

Irrational

Step-by-step explanation:

[tex]7\sqrt{3}+2\sqrt{9}= \\\\7\sqrt{3}+2(3)= \\\\6+7\sqrt{3}[/tex]

Therefore, this is irrational. Hope this helps!

Answer:

The correct answer is B!

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

[tex]\frac{18p-5}{30}[/tex]

Step-by-step explanation:

Answer:

18p-5 over 30.

Found in the LCM method

Answer:

x=6

Step-by-step explanation:

FG + GH = FH

4+x-3 = 2x-5

Combine terms

x+1 = 2x-5

Subtract x from each side

x+1-x = 2x-5-x

1 = x-5

Add 5 to each side

1+5 = x-5+5

6 =x

Answer:

x=6

Step-by-step explanation:

F G + G H = F H

4+x-3 = 2x-5

[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]

The product of the given expression is;

B: 10x^(5) • y√(6xy)

We are given the expression;

√(5x^(8) • y²) × √(10x³) × √(12y)

Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)

Thus, our given expression will be;

√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]

√[(5x^(8) × 10x³) × (y² × 12y)]

√(50x¹¹ × 12y³)

>> √(600x¹¹y³)

Now, further break down of this gives;

10x^(5) • y√(6xy)

Read more about Laws of exponents at; https://brainly.com/question/11761858

Answer:

2.1

Step-by-step explanation:

using cosine theorem or substraction of two vector

b = AC = 5

c = AB = 6

a² = b² + c² - 2bc cos A

a² = 5² + 6² - 2*5*6 cos 20°

a² = 4.62

a = √4.62

a = 2.149

a ≈ 2.1

Answer:

here down is the answer

(2y/5y)^3+4y^2+6y

8y^3/125y^3 +16y^2+6y

8/125+16y^2+6y

8/125+16y^2+6y=0

16y^2+6y+8/125=0

it is in the form of quadratic equation

formula :

x=(-b+-square root of b^2-4ac) /2a

here a=16,b=6&c=8/125

x=(-b+-square root of b^2-4ac)/2a

x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation

x=(-6+-31.91)/2

so

x=(-6+31.91)/2 first (+);

x=25.91/2

x=12.955;

x=(-6-31.91)/2 then(-);

x=-37.91/2

x=-18.955 ;

ans is = 12.955&-18.955;

Answer:

.116

Step-by-step explanation:

7 pink and 5 black balls. = 12 balls

P( pink) = pink balls/ total = 7/12

replace

P( pink) = pink balls/ total = 7/12

so  this is true for each case

P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736

                                        =.115788966

To 3 decimal places

.116

Answer:

Distance between 2 stations= 8.94 miles

Step-by-step explanation:

The coordinates of Symphony Station is given by:

Symphony Station: (x₁ , y₁) : (1,2)

The coordinates of Elm station is given by:

Elm Station: (x₂ ,y₂) : (-3,-6)

We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as

d= √((x₂ - x₁)² + (y₂ - y₁) ²)

Substitute values

d= √((-3 - 1)² + (-6 - 2) ²)

d= √((-4)²+(-8)²)

d= √(16+64)

d=√80

d= 8.94 miles

Answer:

30°=15° 52°=26° 172°=86° 171'30°=85.75°

Step-by-step explanation:

okay so re-reading over the question, and analyzing what the question wants us to answer, you will then realize that the way to get the answer is to divide x by 2.

our x examples, in this case, would be 30°,52°,172°, and 171'30°.

and that's how you find the answer to this type of question. :)))

Answer:

y=1x

Step-by-step explanation:

theirs no b because it goes through (0,0)

to find slope you do 2-4 over 2-4 and it equals 1

hope this helps:)

Answer:

200 kg

Step-by-step explanation:

To satisfy the ratio 1:2:3, Mark must use 100 kg cement, 200 kg sand, and 300 kg gravel

Answer:

6 kg

Step-by-step explanation:

Answer:

d = [tex]\frac{2S-2an}{n(n-1)}[/tex]

Step-by-step explanation:

Given

S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]

Multiply both sides by 2 to clear the fraction

2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n

2S = 2an + n(n - 1)d ( subtract 2an from both sides )

2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)

[tex]\frac{2S-2an}{n(n-1)}[/tex] = d

Answer:

Hope this helps:)

If so please mark me as Brainliest.

Answer: -8.5625

Step-by-step explanation:

Use the distributive property....   ex: 8(x+1)= 8x+1 (by multiplying both by 8)

8x+1-31x-124=14-7x

Combine like variables

-23x-123=14-7x

Bring like variables to the same side of the equation by changing the sign(+,-)

-16x=137

Divide -16 by both sides

x=-8.5625

Options:

Answer:

(C)The graph of f(x) has exactly two x-intercepts.

Step-by-step explanation:

Given a linear function f(x)=ax+b where the domain of f(x) is the set of all real numbers, x.

(A)If f(x)=y, the graph of f(x) will have zero x-intercepts except at y=0 which is the equation of the x-axis.

(B)A linear function can only intersect the x-axis at exactly one point.

(D)When the linear function is f(x)=0, all points of x are x-intercepts of f(x). Therefore f(x) will have infinitely many x-intercepts at this point.

However:

A straight line cannot intersect the x-axis twice, therefore the graph of f(x) cannot have two x-intercepts.

The statement which cannot be true is Option C.

Answer:

C

Step-by-step explanation:

yes

Answer: c

Step-by-step explanation:

Answer:

Subtract both sides by 2x

Divide each side by 6

Step-by-step explanation:

2x+6 = 8x

Subtract both sides by 2x

2x+6 -2x = 8x-2x

6 = 6x

Divide each side by 6

6/6 = 6x/6

1 =x

Answer:

Step-by-step explanation:

slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A

The slope is negative as the ramp slopes down from left to right

The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a diagram of a ramp.

It can be picturized as a right angled triangle.

We know that,

Slope = Change in y coordinates / change in x coordinates.

Horizontal distance = change in x coordinates = 10

Vertical distance = change in y coordinates = 3

Substituting,

Slope = 3/10

Hence the slope of the ramp is 3/10.

Learn more about Slope here :

https://brainly.com/question/3605446

#SPJ7

A sample set contains every possible outcome.

The answer would be:

(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

The sample space of the outcomes is {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

The sample space of the spinner is:

S1 = {R, B}

The sample space of the six-sided number cube is:

S2 = {1,2,3,4,5,6}

When the two sample spaces are merged together, we have:

S = {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

Hence, the sample space of the outcomes is (a)

Read more about sample space at:

https://brainly.com/question/5750471

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 99 - 10 + 1 = 90 numbers between 10 and 99

There are 18 numbers that have at least one two digit.

[tex]\frac{18}{90}=\frac{1}{5}[/tex]

Answer:

- 3

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (- 3, - 8)

m = [tex]\frac{-8-(-2)}{-3-(-5)}[/tex] = [tex]\frac{-8+2}{-3+5}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Answer:

none of them it should be ac,cb,ab. From my point of view

Answer:

Step-by-step explanation:

The picture shows the preimage ABCD and the image A'B'C'D'.

Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.

Therefore, the right answers are reflection and translation.

Answer:

Step-by-step explanation:

This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.

We can form the expression

[tex]A = \frac{O}{2}[/tex]

Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}

Using all the given information, we have

[tex]O + \frac{O}{2}=180\°[/tex]

Solving for [tex]O[/tex], we have

[tex]\frac{3O}{2}=180\\ O=120\°[/tex]

Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.

Answer:

Option (3). (5, 9.2)

Step-by-step explanation:

If Point P divides the line segment QR in the ratio of m : n.

Let the coordinates of the point P are (x, y)

Since coordinates of the point P are given by,

x = [tex]\frac{m(x_2)+n(x_1)}{m+n}[/tex]

y = [tex]\frac{m(y_2)+n(y_1)}{m+n}[/tex]

Where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the ordered pairs representing points Q and R.

If [tex](x_1,y_1)[/tex] represents (2, 5) and [tex](x_2,y_2)[/tex] represents (7, 12),

Coordinates of point P(x, y) which divides the segment in the ratio of 3:2.

x = [tex]\frac{3(7)+2(2)}{3+2}[/tex]

x = [tex]\frac{25}{5}=5[/tex]

y = [tex]\frac{3(12)+2(5)}{3+2}[/tex]

y = [tex]\frac{46}{5}=9.2[/tex]

Therefore, Point P will be represented by (5, 9.2)

Option (3) will be the answer.

Answer:

21.98

Step-by-step explanation:

C = Dπ

D = 7

7 * 3.14 = 21.98

Answer:

z = 6√2 = 8.49

Step-by-step explanation:

In this question, we are to find the value of the length z.

Mathematically, using Pythagoras’s theorem we can do this.

The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.

Kindly note that the hypotenuse is the side that faces the angle 90

These are the points needed to solve for z

Using Pythagoras,

z^2 = y^2 + 4^2

z^2 = y^2 + 16 •••••••(i)

x^2 + z^2 = 20^2

x^2 + z^2 = 400 •••••••••(ii)

z^2 + 16^2 = x^2. ••••••••(iii)

Substitute iii into ii

z^2 + 16^2 + z^2 = 400

2z^2 + 256 = 400

2z^2 = 400-256

2z^2 = 144

z^2 = 72

z = √(72)

z = 6√2

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation: