Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1
[tex]\frac{-1-\sqrt{2}}{3}[/tex] [tex]\frac{-1+\sqrt{2} }{3}[/tex]

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

We solve the polynomial as follows:

The average cost of each book that Nancy got is $32

Cost refer to the amount or value of a product. cost is usually valued in money hence one has to pay some money to h]]get the commodity of choice

In the question, the commodity is mundane books

given that

Nancy had 209 dollars to spend

number of books = 6

amount remaining after buying = $17

The question can be represented mathematically as

6x + 17 = 209

where x is the cost of the each book

6x + 17 = 209

6x = 209 - 17

6x = 192

dividing through by 6

6x / 6 = 192 / 6

x = 32

hence each book costs $32

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To solve graphically this set of equations, we should first draw both lines and see the value of x at which the lines crosses

Both graphs can be drawn as follows

We can see that both graphs intersect at a negative value of x. With a more accurate graph, we can determine that both lines intersect at x=-2.

So the solution for this system of equation is x=-2.

Answer:16%

Step-by-step explanation: (New Number-Old Number)/Old Number*100

Meaning: [tex]\frac{290-250}{250} *100[/tex]

[tex].16*100[/tex]

16

Could be wrong but i j learned this

Using complementary angles, the numerical value of the given expression is as follows:

2.

Complementary angles are angles whose sum of the measures is of 90º.

The relevance of complementary angles in the context of this problem is that if a and b are complementary angles, then the sine of one angle is the cosine of the other angle, as follows:

sin(a) = cos(b).

Considering the angles of 40º and 50º in this problem, we have that:

Hence these following simplifications are applied:

Then the numerical value of the expression is given as follows:

1/1 + sin²(40º) + cos²(40º) = 1 + 1 = 2.

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We need to find the greatest common factor of

We will find the greatest common factor of 64 and 56, first

Since the factors of 64 are

Since the factors of 56 are

Then the common factors are 1, 2, 4, 8

The greatest is 8, then

The GCF of 64 and 56 is 8

The greatest common factor of the same variables is the least power

Then the GCF of a^8 and a^5 is a^5

The GCF of b^4 and b^8 is b^4

Then the greatest common factor of the given terms is

Number of terms of sequence N

Difference D = -1

Then there are here

In negative part, 70 numbers

In positive x line, 40 numbers

And add also zero

Then, ANSWER IS

N= 70 + 40 + 1

. = 111

There are 111 numbers

After simplification, 7h+(-9.1d)-13+6d-3.5h is 3.5h-3.1d-13.

According to the question,

We have the following expression:

7h+(-9.1d)-13+6d-3.5h

Now, we will simplify it by adding or subtracting the numbers or the numbers with the same variable together. For example, 3.5h can only be subtracted from 7h because both of them h as a variable. And 6d can be subtracted from 9.1d.

(More to know: when a positive and a negative number is multiplied then the result is always negative. In this case, we will multiply +1 into -9.1d.)

Now, let's simplify the given expression:

7h-3.5h-9.1d+6d-13

3.5h-3.1d-13

Hence, the expression obtained after solving the given expression is 3.5h-3.1d-13.

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The equation of  line that passes through the points (-6,-5) and (-4,-4) is  x - 2y = 4 .

The equation of the line passing through the points (x₁,y₁) having slope as m is given by the formula .

y-y₁ = m(x-x₁)

In the question ,

it is given that

the required line passes through the points (-6,-5) and (-4,-4) ,

So , the slope(m) is = (-4 -(-5)/(-4 -(-6))

= (-4+5)/(-4+6)

= 1/2

the equation of the line passing through (-4,-4) and slope as 1/2  is

(y -(-4)) = (1/2)(x -(-4))

y + 4 = (x+4)/2

2y + 8 = x + 4

x - 2y = 8-4

x - 2y = 4

Therefore , The equation of  line that passes through the points (-6,-5) and (-4,-4) is  x - 2y = 4 .

The given question is incomplete , the complete question is

Complete the equation of  line that passes through the points (-6,-5) and (-4,-4) .

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(1) The graph is attached with the answer below.

(2)The equation of the line is y = x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The points are ( 3, 0 ) and ( 0, 3). The slope of the line will be calculated as:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 3 - 0 ) ( 0 - 3 )

Slope = 1

Calculate the y-intercept,

y = mx + c

3 = 0 + c

c = 3

The equation of the line will be:-

y = x + 3

Therefore, the graph is attached with the answer below the equation of the line is y = x + 3.

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From the given diagram, let's find the length of the park's boundary.

We can see the side of the park's boundary is a circular arc and the top and bottom are the bases of triangles.

To find the length of the circular sides, apply the length of arc formula:

Where:

Θ = 120 degrees

π = 3.14

radius, r = 50 yards

Hence, we have:

This means the length of one circular side of the boundary is 104.67 yards.

We have two circular sides of the boundary.

The top and bottom sides form equilateral traingles.

Hence, the length of the top and bottom sides are 50 yards each.

To find the total length of the boundary, we have:

Total length = 104.67 + 104.67 + 50 + 50 = 309.34 yards

Rounding off to the nearest yard, the length of the park's boundary is:

309 yards

ANSWER:

D. 309 yards

Answer: 11 units^2

Step-by-step explanation: count the blocks

The value of x in the right triangle is 15√2.

A right triangle is a triangle that has one of its angles as 90 degrees.

The sides of a right triangle can be named base on the angle position. This includes hypotenuse side, opposite side and adjacent side.

Therefore, the side x of the right triangle can be found using trigonometric ratios as follows:

cos 45 = adjacent / hypotenuse

cos 45° = x / 30

cross multiply

30 cos 45° = x

Therefore,

x = 30 × 1 / √2

x =  30 / √2 × √2 / √2

x = 30√2 / 2

x = 15√2

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Given that

Then,

Therefore, the statement

Answer:

a = -10

Step-by-step explanation:

-3a - 10 = 20

add 10 to both sides:

-3a - 10 + 10 = 20 + 10

-3a = 30

divide both sides by -3:

-3a/-3 = 30/-3

a = -10

Answer:

a=- 10

Step-by-step explanation:

-3a - 10 = 20

+10=+10

you end up with -3a=30

divide by -3 both side

a=-10

Answer:

Step-by-step explanation:

The common ratio of the following sequence is:

If the common ratio is less than 1 or greater than -1 but not 0, we can use the following expression to determine the sum of the infinite geometric series:

Therefore, if we have a common ratio of 3/8 or 0.375 and the first term of the series is 3/2.

The sum would be:

Answer:

B) 50

Step-by-step explanation:

its in tens place

hope this helps you!!!

Answer:

8500/10=850

value of digit 5=50

Answer: C) 60

Step-by-step explanation: If you keep adding 12 the only number that I get on the list is 60.

The equation that relates M to R is M = 13 - R

From the question, we have the following parameters:

The total number of new magazines is the sum of the number of magazines read and the number of magazines left

This is represented as

Total number of new magazines = Number of magazines read + Number of magazines left

Substitute the known values in the above equation

13 = R +M

Make M the subject

M = 13 - R

Hence, the equation is M = 13 - R

See attachment for the graph

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If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.

Let the equation be AB + BC = AC

substitute the values in the above equation, we get

AB + x + 3 = 34

simplifying the value of x,

Subtract A B from both sides AB + x + 3 - AB = 34 - A B

x + 3 = 34 - AB

Subtract 3 from both sides,

x + 3 - 3 = 34 - AB - 3

x = -AB + 31

Plug in this value of x into the line segments to find BC and AC.

Where, BC = x + 3

substitute the value of x in the above equation, we get

BC = [-AB + 31 ] + 3

BC = -AB + 34

Then, AB + BC = AC

x = -AB + 31

AB = 31/x

Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,

BC = x + 3, and AC = 34, then AB = 31/x.

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Answer:

18*19 BECAUSE 19 is a prime number and g has to be 1 since if g was anything else like 2 it wouldn't be the same for gh

Answer:

  not similar

Step-by-step explanation:

You want to know if two isosceles triangles are similar, given that one has a base angle of 78°, and the other has an a.pex angle of 16°.

The base angles of the triangle with a.pex angle 16° will be ...

  (180° -16°)/2 = 82° . . . . . . not 78°

Two isosceles triangles will be similar if they have congruent base angles. These triangles do not, so they are not similar.

Responder

y = x + 25

Explicación

El costo de pintar y, para pintar x pies cuadrados es $ 25 más $ 1.00 por pie cuadrado.

Entonces, si se van a pintar x pies cuadrados, la tarifa será

y = (1 × x) + 25

y = x + 25

¡¡¡Espero que esto ayude!!!

Answer:

1. [tex]a=\frac{b}{zm-1}[/tex] 2. [tex]x=\frac{p-n-m}{1-y}[/tex] 3. [tex]a=\frac{z}{m+n+p}[/tex]

Step-by-step explanation:

1. zma = a+b  :    [tex]z=\frac{a+b}{ma} ;[/tex] [tex]m\neq 0[/tex]

zma = a + b  Divide both sides by ma: [tex]m\neq 0[/tex]

[tex]\frac{zma}{ma} =\frac{a}{ma} +\frac{b}{ma} ;[/tex] [tex]m\neq 0[/tex]

2. Subtract m from both sides

x + m - m = p - n + yx - m

Simplify

x = p - n + yx - m

Subtract yx from both sides

x - yx = p - n + yx - m - yx

simplify

x - yx = p - n - m

Factor x - yx:      x(1 - y)

x(1 - y) = p - n - m

simplify x = [tex]\frac{p -n-m}{1-y} ;y\neq 1[/tex]

3.Apply the sum /Different Rule :   (f + g)' = f ' + g'

= [tex]\frac{d}{dp} (am)+\frac{d}{dp} (an)+\frac{d}{dp} (ap)[/tex]

[tex]\frac{d}{dp} (am)=0[/tex]

[tex]\frac{d}{dp} (an)=0[/tex]

[tex]\frac{d}{dp} (ap)=a[/tex]

= 0 + 0 + [tex]a[/tex]

simplify

= a

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If the angles are complementary, we have that:

The measure of angle 1 is of 24°.

The measure of angle 2 is of 66°.

If two angles exists complementary, the sum of their measures exists 90°.

In this problem, we suppose that angles 1 and 2 exists complementary, therefore, m1 + m2 = 90

The measures of angle 1 and angle 2 are in a 4: 11 ratio, thus:

[tex]$m_1=\frac{4}{4+11}=\frac{4}{15}\left(m_1+m_2\right)$[/tex]

[tex]$m_2=\frac{11}{4+11}=\frac{11}{15}\left(m_1+m_2\right)$\\[/tex]

Considering m1 + m2 = 90

[tex]$m_1=\frac{4}{15}\left(m_1+m_2\right)=\frac{4}{15} \times 90=4 \times 6=24$[/tex]

[tex]$m_2=\frac{11}{15}\left(m_1+m_2\right)=\frac{11}{15} \times 90=11 \times 6=66$[/tex]

The measure of angle 1 is of 24º.

The measure of angle 2 is of 66º.

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The solution to the inequality given as 3 - x/2x + 1 ≥ 2 is (-oo, -1/2) u [1/5, oo]

The inequality expression is given as

3 - x/2x + 1 ≥ 2

Cross multiply in the above inequality

So, we have

3 - x ≥ 2(2x + 1)

Open the brackets in the inequality

So, we have

3 - x ≥ 4x + 2

Collect the like terms

4x + x ≤ 3 - 2

Evaluate the like terms

5x ≤ 1

Divide by 5

x ≤ 1/5

Because of the denominator 2x + 1, we have

x > -1/2

This means that the solution is (-oo, -1/2) u [1/5, oo]

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The proof of △AED is congruent to △BEC

What is congruency?

Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. In more technical terms, two sets of points are said to be congruent if and only if one of them can be changed into the other by an isometry, which is a combination of rigid movements such as translation, rotation, and reflection. This implies that one item may be relocated and reflected (but not scaled) to perfectly align with the other. So two separate plane figures on a piece of paper are congruent if they can be cut out and then entirely matched up. It is OK to flip the paper over.

Given, △ABC is congruent to △BAD.

and △AEB is common in both, so

△AED is congruent to △BEC (proved)

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We have the next information

When he left the library he read 8/8-7/8= 1/8

then he read 1/10

after dinner, he read 2/5

First, we need to sum the fraction of the book he read

we need to have the same denominator in order to sum the fractions

the book complete represent 8/8 so we need to subtract 5/8 from the fraction of the complete book

the fraction of the book does he have left to read is 3/8

Answer:

See attached worksheet.

Step-by-step explanation:

See attached worksheet for the table and graph.

I assume that "functation notation: simply means using x and y:  

  y = 2x + 3

The relationship between the number of T-shirts and cost is defined by y = 2t + 3, where:

y is the total cost,

x is the number of t-shirts,

the 2 is the cost for 1 t-shirt ($/t-shirt), and

3 is a one=time charge of $3 for each order.

The graph (attached) shows a straight line with a y-intercept of 3, the initial order fee.  It is linear since the cost of a t-shirt remains the same egardless of order size.