Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the correct solution. 8 + 2(3p + 1) = 10(3 p +1) = 30p +10

Answer:

x-y is parallel, im confused on what your asking for and what you mean by "negative"

Step-by-step explanation:

The  equation of a line that is perpendicular to line g that contains (P, Q). is 3x − y = 3P − Q

The general form of the equation of a line with a slope m and passing through the point (x1, y1) is given as: y - y1 = m ( x- x1)

Further, this equation can be solved and simplified into the standard form of the equation of a line.

Given:

Line g passes through (3,6) and (0,5).

Slope of lone= y2 - y1/ (x2 - x1)

Perpendicular lines have opposite, reciprocal slopes, so negative change in x over change in y.

slope of line= -(-3 - 0)/(6 - 5)

                      = - -(-3)/1 =

slope of line = 3

Now, Two lines are perpendicular if they have the same slope.

Line parallel to line g has a slope of 1. Since it passes through (P, Q),

y - y1 = m ( x- x1)

y- Q =3 ( x- P)

y- Q = 3x- 3P

3x − y = 3P − Q

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This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.

Taking 1/3 of a number is the same as dividing by 3.

Example:

27/3 = 9

27*(1/3) = 9

Answer:

13

Step-by-step explanation:

23-(12+6)+8

23-18+8

31-18

13

answer is 13

Step-by-step explanation:

Using the BODMAS rule,bracket of division or multiplication, addition or subtraction.

This applies the rule:

therefore,

23- (12+6)+8 ,calculate within bracket first

=23-(18)+8

now remove the bracket,by multiply by the -1

=23-18+8

the start calculate from the left to right

=23-10

=13

therefore the answer is 13

Answer:

D) (0,0)

Step-by-step explanation:

It is a square so each side is 2 units because

8/4 = 2

If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.

We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.

So the other point is (0,0)

Answer:

-4(y-3)

Step-by-step explanation:

you need to factor out the 2 from the expression, add common like terms, factor out -2 from the expression, multiply a positive and a negative to get a negative, then multiply the numbers, and you'll get your answer

interval [3,6]

as you can see only values of x, having a value y in the graph.

Answer:

b

Step-by-step explanation:

The area of triangle PQR which is an SAS triangle, to the nearest tenth, is: A. 24.1 m²

The area of an SAS triangle = ½ × bc × sin(A).

Given the following:

Area of triangle PQR = ½ × (14)(6) × sin(35)

Area of triangle PQR = 24.1 m²

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Answer:

The tragedy of the commons in fourteenth-century England was overcome by the common lands being enclosed and privatized.

Step-by-step explanation:

The Commons tragedy refers to a popular economic narrative that explains why common assets appear to be overused from a social point of view. The story-line is focused on the premise that each person tries to get as much profit as possible from the available resource. As per the question, the land available for grazing was limited and solution can be opted through enforcing regulations, auctioning out a limited number of licenses, or transforming the common good into a private good.

Answer:

the probability if that is what you are asking for is 1/3 of winning a prize

Step-by-step explanation:

Answer:

1/3 chance per each person of winning a prize

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

(45) - (+14)

45 - 14 (Negative sign is distributed)

=31

Answer:

In a right triangle, the sine of one acute angle, A, equals the cosine of the other acute angle, B. Since the measures of these acute angles of a right triangle add to 90º, we know these acute angles are complementary. ∠A is the complement of ∠B, and ∠B is the complement of ∠A.

Step-by-step explanation:

Answer: C is your answer.

Step-by-step explanation:

Answer:

  One-sixth d + one-eighth d = 1

Step-by-step explanation:

When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...

  (Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed

  (1/6)d + (1/8)d = 1 . . . . matches the last choice

Answer:

Tablets.

Step-by-step explanation:

You didn't want an explanation so....here you go....no explanation.

Hope that helps and maybe earns a brainliest.

Have a great day!

Answer:

5

Step-by-step explanation:

Money multiplier helps to explain how an economic activity boosts the economic output for the country. It shows how saving in terms of deposit increases the net supply of money in any economy.

Money multiplier = 1/reserve ratio

given reserve ratio = 20% = 20/100 = 0.2

thus,

Money multiplier = 1/0.2 = 5

Answer:

The area can be expressed as: [tex]\pi r^2+lw[/tex].

We have l=10, because 18-2(4)

We have w=8, as given.

Thus, the rectangle area is 80.

There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume

80+50.24=130.24.

Rounded to 1 decimal place that is 130.2

Hope this helps :)

Answer:

The 16 cases will fit the box as shown.

Step-by-step explanation:

One disk case has the dimensions 14.2 cm by 19.3 cm, with thickness 1.6 cm.

Temporarily ignoring the 14.2 cm and 19.3 cm measurements, we multiply this 1.6 cm thickness by 16, obtaining a total thickness for the stack of cases of 25.6 cm.  

1) The 16 cases, arranged as shown, and measuring 25.6 cm from left to right in this diagram, will fit within the 26 cm horizontal distance shown.

2) The horizontal length of each case is 14.2 cm.  Stacked as shown, the 16 cases will fit within the 15 cm depth of the box.

3) The vertical measurement of each case is 19.3 cm.  The 20 cm vertical measurement of the box can accommodate this 19.3 height within 20 cm.

All indications are that the 16 cases will fit comfortably inside the box.

Answer:

16 discs capacity of the cuboid.

Step-by-step explanation:.

for simplicity...

i would just divide 26cm to 1.6cm = 16 .25

therefore,  16 discs capacity of the cuboid.

Answer:

-f(3x - 1) + 2 = -18x² + 12x + 1

Step-by-step explanation:

Step 1: Find f(3x - 1)

f(3x - 1) = 2(3x - 1)² - 1

f(3x - 1) = 2(9x² - 6x + 1) - 1

f(3x - 1) = 18x² - 12x + 2 - 1

f(3x - 1) = 18x² - 12x + 1

Step 2: Plug in f(3x - 1)

-(18x² - 12x + 1) + 2

Step 3: Evaluate

-18x² + 12x - 1 + 2

-f(3x - 1) + 2 = -18x² + 12x + 1

Answer: 1/12

Step-by-step explanation: 1/4=3/12. 2/3=8/12. 3/12+8/12=11/12. The remaining 1/12 is blue.

Answer:

810 cubic centimetres

Step-by-step explanation:

If the box has a square base, the length and breadth of the box are the same. In this case, it's 9cm

The formula for the area of a rectangular prism is

A = lbh

where

l = length

b = breadth

h = height

Therefore the area is 9x9x10 = 810cm³

Answer:

V = 810 cm³

Step-by-step explanation:

V = Ab × h

Ab = s² = (9cm)² = 81 cm²

V = 81cm²×10cm = 810 cm³

Answer:

6

Step-by-step explanation:

$20/$3 = 6.666...

We need to round down to 6.

Answer:

She can get 6 gold fish

Step-by-step explanation:

Take the amount of money and divide by the cost of the gold fish

20/3 = 6 with 2 dollars left over

She can get 6 gold fish

Answer:

1/6

Step-by-step explanation:

there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]

Answer:

2

Step-by-step explanation:

The number of oranges he has is a multiple of 6, so the number can be

6, 12, 18, 24, 30, 36, 42, 48, 54, etc.

He sells one orange, so now he an have:

5, 11, 17, 23, 29, 35, 41, 47, 53, etc.

All numbers above up to 53 are multiples of 1, so n can be 1.

Also 5 and 35 are multiples of 5, so n can be 5.

All numbers other than 5 and 35 are prime.

Answer: 2

Answer:

Side DA

Step-by-step explanation:

The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.

6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)

That's your answer!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

The side of the quadrilateral ABCD has a length equal to 10 is AD.

Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:

[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]

The side of the quadrilateral ABCD has a length equal to 10 is AD.

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Answer:

can you send a picture please? i have no clue how to answer this. it seems confusing with the numbers

Answer:

Step-by-step explanation:

how do i circle? i know answer but how to tell you?

Answer:

[tex]\boxed{ \sf 1350 \ cm^2}[/tex]

Step-by-step explanation:

Surface area of a cube = 6a²

a = side length

The side length is given 15 cm.

[tex]6(15)^2[/tex]

[tex]6(225)[/tex]

[tex]1350[/tex]

The surface area of the cube is 1350 cm².

Answer:

The conjugate is 2+5i and the product is 29.

Step-by-step explanation:

The conjugate of a complex number [tex]a+bi[/tex] is [tex]a-bi[/tex]

Our complex number is 2-5i.

Here, a = 2 and b = -5

Thus, the conjugate of 2-5i is

[tex]2-(-5i)=2+5i[/tex]

Using this rule:

[tex](a+b)(a-b)=a^{2}-b^{2}[/tex]

And the fact that [tex]i^{2} = -1[/tex]

We can find the product of any complex number and its conjugate:

[tex](a+bi)(a-bi)=a^{2} - (bi)^{2}=a^{2} - b^{2} i^{2} = a^{2} + b^{2}[/tex]

As our complex number is [tex]2-5i[/tex], the product with its conjugate will be

[tex]2^{2} + (-5)^{2} =4+25=29[/tex]

Answer:

Volume is units cubed

area is units squared

Units cubed will be the correct label.

We have a solid figure.

We have to determine the correct unit of labelling for this figure.

An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.

Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.

The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).

Hence, units cubed will be the correct label.

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