Triangle ABC has coordinates; A(4, 5), B(4,9)
and C(7,5). What is the perimeter of triangle
ABC?

Answer:

One notebook = $18.50

One pen= $1.10

18.50+1.10= $19.60

2) We must first set up an algebraic expression

total=15 pencils

total=9 pens

The total amount is the price of one pencil*15

To figure out one pencil:

10 pencils is $24

1 pencil is $2.40

Total= $36

9 pens = 36

Therefore 1 pen is $4

Step-by-step explanation:

1) We need to set up an algebraic expression to solve this problem:

Let n= cost of a notepad

Let p= cost of a pen

First set up an expression for Cynthia's purchase:

cost of notepads*number of notepads + cost of pens*number of pens = total cost

n*2 + p*3 = 40.30

Rewrite as:

2n + 3p = 40.30

Next, set up an expression for Annie's purchase:

Here we will be using the same variables

Again:

cost of notepads*number of notepads + cost of pens*number of pens = total cost

n*3 + p*5 = 61

Rewrite as:

3n + 5p =61

Now, set up a system of equations:

2n + 3p = 40.30

3n + 5p =61

A system of equations can be solved several ways, here I will use the addition/elimination method

For this method one of the variables must be able to be eliminated

Step 1: Pick a variable to eliminate

Here I will eliminate n

Step 2: make the selected variables in the equations equal and opposite so that they cancel out when the equations are added together

(2n + 3p = 40.30)(-3)

(3n + 5p =61)(2)

-6n - 9p = -120.90

6n + 10p = 122

Step 3: add vertically

-6n - 9p = -120.90

6n + 10p = 122

         p  =  1.10

Step 4: Figure out the other variable by inputting the answer you just got back into the original equation

2n + 3(1.10) = 40.30

2n + 3.30 = 40.30

      -3.30      37

         2n = 37

        /2     /2

         n = 18.5

Answer:

[tex]x=7+\sqrt{3},\:x=7-\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\mathrm{Switch\:sides}[/tex]

[tex]x^2-14x+46=0[/tex]

[tex]\mathrm{Solve\;wit\;Quadratic\;formula}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:46}}{2\cdot \:1}[/tex]

[tex]\sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:46}}{2\cdot \:1}=2\sqrt{3}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-14\right)\pm \:2\sqrt{3}}{2\cdot \:1}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-\left(-14\right)+2\sqrt{3}}{2\cdot \:1},\:x_2=\frac{-\left(-14\right)-2\sqrt{3}}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=7+\sqrt{3},\:x=7-\sqrt{3}[/tex]

~Lenvy~

Answer:  137.5cm²

Step-by-step explanation:

See the attached image.

Answer:

I think w=5 not to sure though

The value of cos(-t) from the given expression is -0.1036

Given the trigonometry identity

sec(t) = -9.65

According to trig identity

sec(t) = 1/cos(t)

cos(-t) = cost

Hence;

cos(t) = -1/9.65
cos(t) = cos(-t) = -0.1036

Hence the value of cos(-t) from the given expression is -0.1036

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Answer:

Hope this helps you hehehe!

Answer:

  3/4 square units

Step-by-step explanation:

When linear dimensions of similar figures are related by a factor of k, their areas are related by a factor of k².

For an original figure of area 12, each image figure dilated by a factor of k will have an area of 12k².

For k=1/4, the area is ...

  12(1/4)² = 12/16 = 3/4 . . . . square units

_____

Additional comment

Their volumes are related by a factor of k³. It can help you understand if you think about the area and volume formulas:

  A = LW

  A' = L'W' = (kL)(kW) = k²·LW = k²·A

Similarly ...

  V = LWH

  V' = L'W'H' = (kL)(kW)(kH) = k³·LWH = k³·V

Explanation:

The larger the confidence level, the wider the confidence interval gets. Choice A provides the largest such confidence level.

It's like trying to catch an elusive fish. The wider the net, the more confident that you are likely to catch the fish. The size of the net can be a sort of measure of the confidence level.

The confidence level that would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is 99%.

Option A is the correct answer.

A confidence interval is a statistical range that is used to estimate the true value of an unknown population parameter, such as a population means or proportion, based on a sample from that population.

The confidence interval provides a range of values that is likely to contain the true population parameter with a certain degree of confidence, which is typically expressed as a percentage.

We have,

The wider the interval, the lower the precision of the estimate, and the higher the confidence level, the wider the interval.

Therefore,

The confidence level that would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is 99%.

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Answer:

E. -1, 0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

In the first inequality, n is greater than -2.

Meaning n= -1, 0, 1, 2, 3, ...

In the second inequality it was stated that n is less than or equal to 6. this means that n = 6, 5, 4, ....

Thus, n = -1, 0, 1, 2, 3, 4, 5, 6

Answer:

  (c)  square

Step-by-step explanation:

When a cube is cut perpendicular to its base and parallel to a face, the resulting cross section is a square. (see the first attachment)

__

Additional comment

If the cut is not parallel to a face, the resulting cross section is a rectangle. (see the second attachment)

Answer:

Square

Step-by-step explanation:

I took the test

Answer:

[B] 0, 19.5, 160.5, 180, 360

Step-by-step explanation:

3 sin²θ = sin θ

3 sin²θ − sin θ = 0

sin θ (3 sin θ − 1) = 0

sin θ = 0 or sin θ = ⅓

If sin θ = 0, θ = 0°, 180°, 360°.

If sin θ = ⅓, θ = 19.5°, 160.5°.

Answer:

The first quartile is 99.5

Step-by-step explanation:

Answer:

option B: 15[tex]x^8 y^5 z^7[/tex]

Step-by-step explanation:

we just calculate 5 x^4 y^2 z^2 multiplied by 3x^4 y^3 z^5

and that gives the answer

Answer:

1/2 of the cup.

3/4 is half of 1 1/2.

The height is the distance between the opposite parallel sides of the parallelogram.

Therefore, the height of the parallelogram is 4 cm.

Answer:

Simple, 4 sided polygon

Step-by-step explanation:

Here is the vocabulary:

A quadrilateral is a 4 sided shape, the prefix "quad" is meaning 4
Ex: Squares, Rhombus, Rectangles

A Triangle is a 3 sided polygon. The prefix "tri" means 3 like a tricycle.

Ex: Equilateral, Scalene, Isosceles, or right triangles

2 sided polygon is a digon that isn't used lots in basic geometry. The prefix di means 2.

Ex: Few examples but a common one is digon.

Answer:

Yes your answer is E with a total score of 89

Answer:

x = -164/35.

Step-by-step explanation:

x - 8(2x + 3x +2) = -4x +148

x - 16x - 24x - 16 = -4x + 148

x - 16x - 24x + 4x = 148 + 16

-35x = 164

x = -164/35

Answer:

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2. Example.

Step-by-step explanation:

The domain and range of the given function plotted on the graph is -

Domain : x ≥ -5

Range : y ≥ -2

Range of the function is the set of {y} - values that exist for a given value of {x} or for the existing domain of the function. As it can be seen from the graph that the {y} values range from -2 {included} to ∞ {excluded}. So, the range of the given function is [-2, 2).

Domain is the set of {x} values for which the function exist. We can see that the function values are in range [-5, ∞).

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Explanation:

Start by writing out set A = {6,7,8,9,10,11,12}

Then introduce items from set B that aren't already in set A. So you'll introduce 14 and 16 to get the answer shown above. The answer represents all the numbers that are in set A or set B or in both sets.

A slightly similar approach is to write all of the given numbers in one big set like so

{6,7,8,9,10,11,12,    8,10,12,14,16}

then we erase the duplicates 8,10,12 to get the answer above.

When dealing with sets, we only have one unique item at a time.

We can replace the "OR" in "A OR B" with the union symbol. So we could write A U B

Answer :

⠀

Explanation :

⠀

Solution :

where,

⠀

We know that,

[tex] {\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }

[/tex]

⠀

Now, we will substitute the given values in the formula :

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = (8) {}^{2} +( 6) {}^{2} }[/tex]

⠀

We know that, (8)² = 64 and (6)² = 36. So,

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = 64 + 36 }[/tex]

⠀

Now, adding 64 and 36 we get :

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = 100 }[/tex]

⠀

Now, we'll take the square root of both sides to remove the square from AC :

[tex] {\longrightarrow \sf \qquad \sqrt{(AC) {}^{2}} = \sqrt{100} }[/tex]

⠀

[tex] {\longrightarrow \sf \qquad AC = \sqrt{100} }[/tex]

⠀

We know that, square root of 100 is 10 .

[tex] {\longrightarrow \bf \qquad AC = 10 }[/tex]

⠀

So,

Answer:

the answer is 1.9

Step-by-step explanation:

because I multiply.38×5

Answer:

1250

Step-by-step explanation:

VOLUME = LENGTH X WIDTH

5 x 5 x 5 = 125 - volume of 1 cube

125 x 10 = 1250

Why do we multiply 125 by 10? There are 10 cubes and the volume of each is 125. To find the total volume, we would need to multiply.

Answer:

x = 10

Step-by-step explanation:

DE = EF, GE = GE, m∠D = m∠F = 90°

so

ΔDGE = ΔFGE

then

3x + 8 = 5x - 12

3x - 5x = -12 - 8

-2x = -20

2x = 20

x = 10

Step-by-step explanation:

Since DE=FE, we know GE is angle bisectors of angle G.

Thus, set those two expressions equal to each other.

3x+8= 5x-12

20=2x

x=10

Answer:

The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts. Suppose, x is the square root of y, then it is represented as x=√y or we can express the same equation as x2 = y. Here,'√'is the radical symbol used to represent the root of numbers.

Answer:

(x,y)→(y,-x)

Step-by-step explanation:

Given : A triangle is rotated 90 degrees about the origin.

To Find : Which rule describes the transformation?

Solution :

Knowing that:

90° rotation ( clockwise) is (x,y)→(y,-x)

~Lenvy~

The rule which describes the transformation is (x, y) → (–y, x).

Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.

Given that,

A triangle is rotated 90° about the origin.

A point (x, y) when rotated 90 degrees about the origin results in the point (-y, x).

Here a triangle is rotated 90° about the origin.

Rule is,

(x, y) → (–y, x)

Hence the correct rule is (x, y) → (–y, x).

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Answer:

c

Step-by-step explanation:

it has a repeating domain so it can not be a function

0,−1,2,1,0 has two values corresponding to a range of functions so it will not form a function so option (C) will be correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of functin at x = 1 its that f(1) = 1 called range variable.

To be a relation a function for every single unique input there must be single unique output.

Since the interval 0,−1,2,1,0 has 2 inputs for single output so it will not form an function.

Hence "0,−1,2,1,0 has two values corresponding to a range of functions so it will not form a function".

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