Write an equation in slope intercept form of the line that passes through the given points (-5,-11) and (6,11)


*** somebody please hurry and answer this for me,i have until tomorrow to get this done for my final grade.***

Answer:

[tex]3 \sqrt{8} [/tex]

Step-by-step explanation:

1. we are find which factors which when multiplied will give us 192

2. so i took 3 and 64

3. now square root both factors

like this

[tex] \sqrt{3} \times \sqrt{64} [/tex]

4. then you will be left with 3 and a 8

so then we will write that as the answer given above

The value of x is equal to 2, for the figure A which maps to figure B with a scale factor of 2 1/2 .

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

From the question, figure A maps to figure B with a scale factor of 2 1/2 which implies that figure B was made bigger by multiplying with 2 1/2 , so we can evaluate for the value of x as follows:

2 1/2 = 5/2

x = 5 ÷ (5/2) {changing division to multiplication}

x = 5 × 2/5 {cancel out 5}

x = 2

Therefore, the value of x is equal to 2, using the scale factor of 2 1/2 for figure A and figure B.

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The probability that the first card is the ace of hearts = [tex]\frac{17}{52}[/tex]

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

If three cards are drawn from the deck one at a time

The probability that the first card is the ace of hearts

Let us assume,

Probability of ace = x

Probability of heart = y

Probability of ace drawn is: 4/52

Probability of heart drawn is: 13/52

So.

We can write,

P(ace or heart) = p (ace) + p (heart)

P(x or y) = p (x) + p (y)

Total cards are = 52

If three cards, but we can use first card of probability is,

P(ace or heart) = [tex]\frac{4}{52} +\frac{13}{52}[/tex]

P(ace or heart) = [tex]\frac{17}{52}[/tex]

Therefore,

The probability that the first card is the ace of hearts = [tex]\frac{17}{52}[/tex]

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The measure of angle c is m ∠c = 103°.

What is triangle?

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle with the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane.

180 degrees is the sum of the triangle's three angles.

Let Δabc is given with m ∠a = 30° and m ∠b = 37°

We have to find the measure of angle c.

Since the sum of three angles of triangle is 180 degree.

⇒ m ∠a + m b + m ∠c = 180°

30° + 37° + m ∠c = 180°

77° + m ∠c = 180°

m ∠c = 180°- 77°

m ∠c = 103°

Hence, the measure of angle c is m ∠c = 103°.

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The volume of the triangular prism is 308 in³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given that, Alfred made a container shaped like a triangular prism,

Given are the dimensions, 14 in., 4 in. and 11 in.

Volume of a triangular prism = BxHxL/2

= 14x4x11/2 = 616/2 = 308 in³

Hence, The volume of the triangular prism is 308 in³

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Answer:

A. -2, -5, -8, -11, -14, -17, ...

Step-by-step explanation:

The difference between consecutive terms is constant.

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. the  volume is 0.01 m^3

Generally, To determine the volume needed to hold 10 kilograms of plastic yogurt containers, you would need to know the density of the plastic and the size and shape of the containers.

The density of a material is a measure of its mass per unit volume. It is usually expressed in kilograms per cubic meter (kg/m^3). The density of plastic can vary depending on the specific type of plastic and any additives that are present.

Once you know the density of the plastic, you can use the following formula to calculate the volume needed to hold a certain mass of the material:

Volume = Mass / Density

For example, if the density of the plastic is 1000 kg/m^3 and you want to hold 10 kilograms of it, the volume needed would be:

Volume = 10 kg / 1000 kg/m^3

Volume  = 0.01 m^3

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THE COMPLETE QUESTION WAS NOT FOUND

The value of y in the equation y=x2+2x+5 when x=3 is y= 20

Simplifying algebraic expressions is the same idea, except you have variables (or letters) in your expression.

simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving

y=x^2+2x+5

mathematically, x=3

substitute the valve of x=3 into the equation

y= 3^2 + 2(3) + 5

y= (3x3) + 2(3) +5

Evaluate the value of y by adding the numbers together

y= 9 + 6+ 5

y= 20

Therefore, the value of y in the equation y=x^2+2x+5  is 20

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Answer:

a. -4

b. 1/4

Step-by-step explanation:

a. [tex]\textrm{slope}_{||} = \dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{-4}{1} = -4[/tex]

b. [tex]\textrm{slope}_\perp = \dfrac{-1}{\textrm{slope}_{||}} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]

Answer:

-2

Step-by-step explanation:

we use the y2-y1/x2-x1 fomrula to find slope

14-8/7-10

6/-3

-2 is the slope

hopes this helps

The equations that are false for all real numbers of x are given as follows:

To obtain the equations which are false, we have to consider the domain and the range of the functions in this problem.

We start at the first equation, given as follows:

x² + 4 = 0.

Isolating x², we have that:

x² = -4.

However, the range of the function y = x² is composed only by non-negative numbers, meaning that y = x² will never assume a value of -4, meaning that this statement is false for all real numbers.

The same holds true for the third item, which is the square root of x - 1 = -2. The range of the square root function is also composed by non-negative numbers, thus the statement is also false for all real numbers.

The final statement that is false is given as follows:

2(x - 4) = 2x - 4.

Applying the distributive property, we have that:

2x - 8 = 2x - 4

0x = 4

x = 4/0 (division by zero does not exist on the real set).

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The number of boxes of sugar that Alonso can buy are 4.5 boxes.

Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.

The money remaining after buying 12 eggs : {r} = $(55 -2.75).

Cost of one box of sugar = $11.5

The number of boxes that he can buy are -

n = (55 - 2.75)/11.5

n = 4.5 boxes {approx.}

Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.

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The equation x - (1/3)3x = 0 is true irrespective of all x values thus it will have infinitely many solutions so option (2) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In the equation x - (1/3)3x = 0,

Put x = 1, 1 - (1/3)3 = 0 ⇒ 0 = 0

Put x = 2, 2 - (1/3)3×2 = 0 ⇒ 0 = 0

So irrespective of any x it will satisfy thus it will have infinitely many solutions.

Hence "Since all possible values of x are equal, the equation x - (1/3)3x = 0 will have an endless number of solutions".

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Answer:

j = - 8

Step-by-step explanation:

1 - j/4 - 3

1 is also 4/4

so

4/4 - j/4 = 3

4 - j/ 4= 3

multiply by 4 on both sides

which gets you

-j  + 4 = 12

minus 4 from both sides

-j = 8

j = -8

Answer:j=-8 I hope this helps

Step-by-step explanation:

1-j/4=3

Multiply both sides of the equation by 4

which gives you

4-j=12

Move the constant to the right-hand side and change its sign
-j=12-4

Subtract the numbers

-j=8

Change the signs on both sides of the equation

j=-8 - This is your answer

The number of fruit pies  is 15 and the number of bottles of fruit juice is 7

We are given;

Cost of each fruit pie = $6

Cost of each bottle of fruit juice = $2

Total amount earned = $104

Let x  represent  the number of fruit pies  that Mr. Sanchez's class sold

Let 22 - x  be   the  bottles of   fruit juice that Mr. Kelly's class sold

Thus, we  have the equation;

6x + 2(22  - x)  =  104

Expanding the bracket gives;

6x + 44 - 2x = 104

4x = 104 - 44

4x = 60

x = 60/4

x = 15

Thus, the number of fruit pies  = 15

Number of bottles of fruit juice = 22 - 15 = 7

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Complete question is;

Mr. Sanchez’s class sold fruit pies for $0.6 each and Mr. Kelly’s class sold bottles of fruit juice for $0.2 each. Together, the classes sold 22 items and earned $104.00 for their school.

Write and solve a system of equations that model the problem. Show all your work

The value of k for the function k f( 3 ) = 7 f( 2 ) is 2

What is a Function ?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given information

We are given with the function

f( x ) = 2 -3x

f ( 3 ) = 2 - 3(3)

        = 2 - 9

f ( 3 ) = -7

f ( 2 ) = 2 - 2(2)

        = 2 - 4

f ( 2 ) = -2

We are given

k f( 3 ) = 7 f( 2 )

k ( -7 ) =  7 ( -2 )

k = 2

The value of k for the function k f( 3 ) = 7 f( 2 ) is 2

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9 square meters is the area of triangle LMN. Using the concept of Heron's formula.

Heron of Alexandria is credited with creating Heron's formula, which determines a triangle's area by dividing the lengths of its sides. if the side lengths are represented in symbols by a, b, and c.

According to Heron's formula the area = √s (s - a)(s - b)(s - c)

A triangle's semi-perimeter, whose area has to be calculated, is represented by the letter s in Heron's formula. s = (a+b+c)/2 is the formula for the triangle's semi-perimeter, which is the sum of its three sides.

a triangle with three sides, a, b, and c.

given data was LM = 7,MN = 6 and perimeter was given by 16m

As we know perimeter is the sum of all the sides  

so, Perimeter=LM + MN + NL

NL=Perimeter-(LM+MN)

NL=16 - 7 - 6

NL= 3

By Heron's formula,

Area = √[(s(s-a)(s-b)(s-c)].  

where s = perimeter/2

so, s = 16/2 = 8

area = √[(8(8-7)(8-6)(8-3)]

area = 8.94427191 ≈ 9 square meters.

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Answer: 9m

Step-by-step explanation:

987.6 million written in scientific notation is 9.876 × [tex]10^{8}[/tex]

What is scientific notation?

Scientific notation is basically a shortcut for writing numbers. It is a method of expressing real numbers in terms of a significand, multiplied by a power of 10.

When using scientific notation, you're allowed to simplify all the zeros that you have in the number by writing the number as a product of a number and a power of 10. 987.6 million in exponential form is [tex]a^{b}[/tex], a is the base, and b is called the exponent . The term [tex]a^{b}[/tex] is called the exponential expression. 987.6 million = 9.876 x 100,000,000 = 9.876 ×[tex]10^{8}[/tex].

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Answer:

3y, 9y²

Step-by-step explanation:

We use laws of binomial

(a+b)²=a²+2ab+b²

From this, we get

15x × * × 2 = 90xy

2×*=6y

*=3y

Now, we square this term to get the last term

3y×3y=9y²

The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.

What is congruence?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Here, we have

Given the sides of both the triangle and

we have to find the value of b and c that makes ΔGHI ≅ ΔZYX

b = 17 and,

48 = 8c

c = 6

Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.

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A graph the function f(x) = 2(4)^(x+3) - 6 is shown in the image attached below. The asymptote of this function f(x) = 2(4)^(x+3) - 6 is -5.5 with two (2) points with integer coordinates on the graph as -2 and 2.

In Mathematics, a graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch. Additionally, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

Next, we would use an online graphing calculator to plot the given function. Therefore, the asymptote of this function is at -5.5 and two points with integer coordinates on the graph are (-2, 2).

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Answer:

Below

Step-by-step explanation:

3x+15      <==== factor out '3'

3 * ( x+5)       done !

The solution is 15 3/4 pages

The number of pages Matthew will read in one hour is 15 3/4 pages

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pages Matthew reads in an hour be = A

Now , the number of pages Matthew reads = 26 1/4 pages

26 1/4 pages = 105/4 pages

The time required to read 26 1/4 pages = 1 2/3 hour

1 2/3 hours = 5/3 hours

Now , the equation will be

The number of pages Matthew can read in 1 hour A = number of pages Matthew reads / time required to read 26 1/4 pages

Substituting the values in the equation , we get

The number of pages Matthew can read in 1 hour A = ( 105/4 ) / ( 5/3 )

The number of pages Matthew can read in 1 hour A = 105/4 x 3/5

The number of pages Matthew can read in 1 hour A = ( 21 x 3 ) / 4

The number of pages Matthew can read in 1 hour A = 63/4 pages

The number of pages Matthew can read in 1 hour A = 15 3/4 pages

Therefore , the value of A is 15 3/4 pages

Hence ,

The number of pages Matthew will read in one hour is 15 3/4 pages

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The scale of the drawing is ( 4cm : 3m)

What is Scale Drawing?

The Scale drawing that has been scaled up or down from its original size.

According to question

let the scale of drawing is K centimeters/meters

Now

We know that

(Scale of drawing)*Actual Length = Length in scale Drawing

⇒ K centimeters/meters * Actual Length = 16 centimeters

⇒ Actual Length = 16/K meters

(Scale of drawing)*Actual Width = Width in scale Drawing

⇒ K centimeters/meters * Actual Length = 8 centimeters

⇒ Actual Width = 8/K meters

Given that Actual area is 72 square meters

therefore

⇒ Length * Width = Area

⇒ 16/K * 8/K = 72

⇒ 128/K² = 72

⇒ 1/k² = 72/128

⇒ k² = 128/72

⇒ k² = 16/9

⇒ k =± 4/3

Considering K = + 4/3 (ratio of length)

K - ( 4cm : 3m)

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The given statement can be expressed as ~S.

What is a negation of a statement?

A negation of a statement is a statement that is the opposite of the original statement. In other words, a negation of a statement is a statement that is true if and only if the original statement is false, and vice versa.

To express the statement "One does not ski fast" symbolically, we can use the negation symbol

Using the symbol "S to represent the statement "One skis fast", we can express the statement "One does not ski fast" symbolically as:

~S

This can be read as "Not S" or "It is not the case that S."

Hence, the given statement can be expressed as ~S.

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The required probability of getting exactly 3 heads is 0.3.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
Total sample space = 2×5 = 10
Favorable outcome (3 heads) = 3
Probability is given of getting exactly 3 heads
= favorable outcome / total sample space

Substitute the value in the above equation
= 3 / 10
= 0.3

Thus, getting the 3 heads while tossing a coin 5 times has a probability of 0.3.

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Answer:

Step-by-step explanation:

3/6 + 1/4,  6/12 + 3/12,    12/24 + 6/24,    18/36 + 9/36