Complete the equation of the line through (−10,3) (−8,−8). Use exact numbers. y=

Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]

For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!

Answer:

-2

Step-by-step explanation:

it's a negative slope (going down) and its 2/1 which makes it just -2

Answer:

$25.20

Step-by-step explanation:

10%= 2.4 because you divide 24 by 10

So 5%= half 2.4= 1.2

24+1.2=25.20

Answer:

$25.20

Step-by-step explanation:

$0.05 x $24 = $1.20

$24 + $1.20 = $25.20

Answer:

(x + 4)^2 + (y-9)^2 = 121

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k) ^2 = r^2  where (h,k) is the center and r is the radius

(x - -4)^2 + (y-9)^2 = 11 ^2

(x + 4)^2 + (y-9)^2 = 11 ^2

(x + 4)^2 + (y-9)^2 = 121

Answer:

3

Step-by-step explanation:

1/2 of 30 is 15:Biennials

2/5 of 30 is 12:Perennials

1/10 of 30 is 3: Annuals

15-12=3

Answer:

[tex]\frac{y-2}{4}[/tex]

Step-by-step explanation:

Let's start by factoring everything:

[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]

[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, you can cancel out some terms:

[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]

[tex]\frac{y-2}{4}[/tex]

Hope this helps!

Answer:

9 is in the domain of f(g(x))

Step-by-step explanation:

f(g(x)) = -8*g(x) - 4

          = -8*( 7x+3) - 4

          = -56x - 24 - 4

          = -56x - 28

          = -28(2x + 1)

f(g(9)) = -28(2*9 + 1)

          = -28*19

          = -532

Since 9 can be plugged into the compound function, it is in the domain.

Answer:

42

Step-by-step explanation:

According to the description given, the angles are complementary angles.

Their measurements will add up to 90°.

[tex]90 - 48 = 42[/tex]

X should be equal to 42.

Brainilest Appreciated.

The value of x in a line that splits a right angle into two is 42

A right angle is an angle formed by a perpendicular line on a straight line. The angle in a right angle is equal to 90 degrees.

From the given information, if a line comes out of the right-angled point and splits it into two halves;

where:

The value of the x is:

(x + 48)° = 90°   (sum of angles in a right angle triangle)

x = 90° - 48°

x = 42°

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Answer:

area is 24

Step-by-step explanation:

Answer: (27- 4/3 pi) r^3

Step-by-step explanation: 1. Volume of a cube: V= a^3,  V= 3^3 , V=27

2.  Volume of a sphere: V=4/3 pi r^3 ......

The expression which represents the volume of the foam padding needed to fill the space in the box around the sphere in terms of π is option C. (27 - [tex]\frac{4}{3}[/tex] π) r³.

Volume of a three dimensional shape is the space occupied by the shape.

We have a sphere of radius r inside a cube of side length 3r.

Volume of a cube = (a)³, where a is the side length.

Here a = 3r

Volume of the cube = (3r)³ = 27r³

Volume of a sphere of radius r = [tex]\frac{4}{3}[/tex] π r³

Volume of the foam padding needed to fill the space in the box around the sphere = 27r³ - [tex]\frac{4}{3}[/tex] π r³

                  = r³ (27 -  [tex]\frac{4}{3}[/tex] π)

Hence the volume of the space inside the cube outside the sphere is r³ (27 -  [tex]\frac{4}{3}[/tex] π).

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Answer:

The reasonable range is 0 ≤ y ≤ 11,110, while the mathematical range is y ≥ –20.25.

Step-by-step explanation:

Answer:

B) The reasonable range is 0 < y < 11, 110, while the mathematical range is y > -20.25

Step-by-step explanation:

Answer:

negative X coordinate and a negative Y coordinate.

Step-by-step explanation:

positive X coordinate and a negative Y coordinate is reflected over the Y axis.

Anything reflected over the Y axis doesn't usually change the y coordinate. So it's negative X coordinate and a negative Y coordinate.

Answer:

y= -3x-4

Step-by-step explanation:

Since we already know the slope, we have to plug in values to find out the constant of the equation. We use the point given to figure it out. Y+8 and x=-4, therefore 8=-3(-4)+c ---> 8=12+c. C=-4

Answer:

this is wrong sry

Step-by-step explanation:

Answer:

$7,200

Step-by-step explanation:

1 ton is 2,000 pounds so 6 tons would be 12,000 pounds. Multiply that 0.60 and you get 7,200.

Answer:

The range is 115

Step-by-step explanation: To find the range of a data set you subtract the lowest value from the highest value. In this case that would be 135 minus 20 which gives you a range of 115.

Answer:

Area = 48*8=384 sq. in

Step-by-step explanation:

Perimeter = 112

Length 6x

Width =x cm

Perimeter = 2(6x+x)

Perimeter = 14x

112 = 14x x=

8 in Width

Length = 6*8=48 in

Area = 48*8=384 sq. in

Did this kinda fast but I hope it helped XD

Length of the rectangle = 48ft

Width of the rectangle = 8ft

Area of rectangle = 384 ft²

Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.

Given,

Length of a rectangle is six times its width

Let width is x then length is 6x

Perimeter of rectangle = 112 ft

Perimeter of rectangle = 2(Length + Width)

2(Length + Width) = 112

2(x + 6x) = 112

7x = 56

x = 8

Width = 8 ft

Length = 6 × 8 = 48 ft

Area of rectangle = length × width

                             = 48 × 8

                             = 384 ft²

Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.

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Answer:

1. b

2. are like terms

Step-by-step explanation:

1. this is b because when you distribute, each of the terms in the parentheses will get multiplied by 3.

2. these are like terms because they have no variables. they are just numbers so they are like terms

Answer:

[tex]2+\sqrt{2}[/tex]

Step-by-step explanation:

[tex](3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4[/tex]

[tex]= 6-4+\sqrt{2}[/tex]

[tex]= 2+\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Use FOIL method

(3√2 +  4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1

                           =3*√(2*2) - 3√2 + 4√2 - 4

                           = 3*2 - 3√2 + 4√2 - 4

                           = 6 - 3√2 + 4√2 - 4  {add the like terms}

                          = 6 - 4 - 3√2 + 4√2

                          = 2 + √2

Answer:

Option B - Rule) is your answer

Find attached to this question, the diagram of the prism

Answer:

740m

Step-by-step explanation:

The first step determine what type of Prism we are trying to solve. Looking at the diagram, the prism is a triangular prism.

The surface area of a triangular prism is calculated as

Surface Area = bh + 2ls + lb

Where

b = base = 16m

h = height = 15m

l = length = 10m

s = side edge or length = 17m

Surface Area of the triangular prism = (16×15)m + 2(10×17)m + (10×16)m +

= 740m

Answer:

740m

Step-by-step explanation:

Answer: b = 2a/h

Step-by-step explanation:

a = bh/2

multiply each side by 2

2a = bh

divide each side by h

2a/h = b

Answer:

b = 2a/h

  The area of a triangle is related to the base and height of the triangle by the formula a = bh/2

Answer:

Because D = 24 and this is bigger then zero, there are two real solutions.

Step-by-step explanation:

if the discriminant (D) has a positive number, then there are two real solutions. So let's calculate the value of D.

-2x² + 3 = 0

a = -2

b = 0

c = 3

D = b² - 4 * a * c

Substitute the values of a, b and c and you get...

D = 0² - 4 * -2 * 3

D = 24

Because D = 24 and this is bigger then zero, there are two real solutions.

Answer:  C(2)

Step-by-step explanation:

I just took the quiz Edg2021

Answer:

[tex] 18x^2 - 9 x- 5=0\\

[/tex]

Step-by-step explanation:

Let x be the variable of the required quadratic equation.

[tex] \because - \frac{1}{3} \: \& \: \frac{5}{6}[/tex] are the roots of the required quadratic equation.

[tex] \therefore \bigg(x+ \frac{1}{3}\bigg ) \: \& \: \bigg(x-\frac{5}{6}\bigg) [/tex] are factors of the required quadratic equation.

[tex] \therefore \bigg(x+ \frac{1}{3}\bigg ) \bigg(x-\frac{5}{6}\bigg) = 0\\\\

x^2 +\bigg(\frac{1}{3}-\frac{5}{6}\bigg )x+ \bigg(\frac{1}{3}\bigg )\bigg(-\frac{5}{6}\bigg )=0\\\\

x^2 +\bigg(\frac{6}{18}-\frac{15}{18}\bigg )x- \frac{5}{18}=0\\\\

x^2 +\bigg(-\frac{9}{18}\bigg )x- \frac{5}{18}=0\\\\

x^2 - \frac{9}{18} x- \frac{5}{18}=0\\\\

\huge\purple {\boxed {18x^2 - 9 x- 5=0}} \\

[/tex]

is the required quadratic equation

Answer:

$56.25 is the new price

Step-by-step explanation:

75 - 18.75 = 56.25 dollars

Answer:

56.25

Step-by-step explanation:

75*.25=18.75

75-18.75=56.25

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Answer:

Step-by-step explanation:

A) y + ? = n^2 - 16n + ? + 69

y + 64 = n^2 -16n + 64 + 69

y + 64 = (n-8)^2 + 69

y = (n-8)^2 + 5

B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:

y = a(x-h) + k

it's a minimum only because the (a) value is positive

C) axis of symmetry = 8

Answer:

48 degrees

Step-by-step explanation:

A triangles degrees all add up to 180

so

180-90= 90 (90 is a square corner)

90-42= 48 (42 is the other known degree)

Answer:

120000000

Step-by-step explanation:

Depending on the particular body, there is a different formula and different required information you need to calculate its volume. Below are volume formulas for the most common types of geometric bodies - all of which are supported by our online volume calculator above. All measures need to be in the same unit. The result is always in cubic units: cubic centimeters, cubic inches, cubic meters, cubic feet, cubic yards, etc.

Volume calculations are useful in a lot of sciences, in construction work and planning, in cargo shipping, in climate control (e.g. air conditioning calculations), swimming pool management, and more.