What is “b” in the following quadratic equation:
4x^2-3x-11=0

Answer:

steps below

Step-by-step explanation:

(a) first green: 8/23 AND 2nd green: 7/22

AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)

(b) 15/23 x 8/22

Answer:

T=5

Step-by-step explanation:

5 -3 = 10/t

2 =10/t

2t = 10

T = 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         Solve for the variable 5=10/t+3.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.

Since we have numbers on both sides, we need to move all numbers to the right:-

[tex]\bold{5=\dfrac{10}{t} +3}[/tex]

[tex]\bigstar[/tex] Subtract 5 on both sides:-

[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{0=\dfrac{10}{t} -2}[/tex]

[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-

[tex]\bold{-\dfrac{10}{t} =-2}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{\dfrac{10}{t} =2}[/tex]

[tex]\bigstar[/tex] Multiply by t on both sides:-

[tex]\bold{10=2t}[/tex]

[tex]\bold{2t=10}[/tex]

[tex]\bigstar[/tex] Divide by 2 on both sides:-

[tex]\bold{t=5}[/tex]

[tex]\rule{300}{2}[/tex]

The equation of the ellipse formed is x²/11.7² + y²/12² = 1

The formula for calculating the equation of an ellipse is expressed as;

x²/a² + y²/b² = 1

where

a and b are the minor an major axis respectively;

Given the following

b = 12

e = 0.5

Determine the value of a

e² = √b²-a²/b

0.5² = √12²-a²/12
12 * 0.25 = √144-a²

9 = 144 -  a²

a² = 136

a = 11.7

Substitute into the fomula

x²/11.7² + y²/12² = 1

Hence the equation of the ellipse formed is x²/11.7² + y²/12² = 1

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Answer:

A

Step-by-step explanation:

In this problem you'd simply distribute the 10. So 10x15 and 10*n

150+10n

             - - - - - - - -- - - - - - - - - - -- -- - - - - - - -- - - - - - - - - - -- - - - - - - -- - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

       What is 10(15+n) equal to?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Multiply 10 times 15:-

150

Multiply 10 times n:-

10n

Add the terms:-

150+10n

           -- - - - - - - - - - - -- - - - - - - - - - -- - - - - -- -- - - - - - - - - - - - - -- - - - - - - -

[tex]4\left(\sqrt[5]{x^2 y} \right) +3 \left( \sqrt[5]{x^2 y} \right)\\\\=(4+3) \left( \sqrt[5]{x^2 y} \right)\\\\=7 \left( \sqrt[5]{x^2 y} \right)[/tex]

[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]

The equation:

[tex]4 \sqrt[ 5 ]{ { x }^{ 2 } y } +3 \sqrt[ 5 ]{ { x }^{ 2 } y } [/tex]

1) Collect like terms by adding their coefficients ( [tex]3[/tex] and [tex]4[/tex])

[tex](3+4)\sqrt[ 5 ]{ { x }^{ 2 } y }[/tex]

2) Calculate

[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]

The transformation that took place is a horizontal stretch by a factor of 2

We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.

Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2

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Answer: A Horizontal Stretch by a Factor of 2

Step-by-step explanation:

Answer:

B, 12, 48.

Step-by-step explanation:

Hope this helped!

Answer:

The graph of g(x) is shifted up 2 units.

Answer:

To have one significant figure means to have one number with a significant value. Since all of the answers are greater than one, the final answer with the correct sig figs involves using the two leftmost numbers. If the second leftmost number is greater than 5, round the leftmost number up one unit. If the number is less than 5, leave the leftmost number alone. Finally, change all of the values besides the leftmost to zero. There should be no decimal place because having it would mean the zeros to the left of the decimal place are significant.

 29 x 31
--------------  =  3329.6      ------>     3,000
   0.27

 4.8 x 37
---------------  =  845.7       -------->    800
   0.21

 9.7 x 26
---------------   =  11463.6      ------->   10,000
  0.022

Answer:

I believe it 2 cos(20 - ℼ/8) - 1 or 2 sin(20 + ℼ/4) - 1

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

as 5,3 and 4 are Pythagorean triplets, with 5 being C/the hypothenuse it would work as a right angled triangle.

3^2+4^2=c^2

9+16=c^2

25=c^2            c=5

Answer:

76

U

768

Is just for fun heh brother

Answer:

Your answer is B

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

Answer:

The two-point form of a line is used for finding the equation of a line given two points (x1,y1) ( x 1 , y 1 ) and (x2,y2) ( x 2 , y 2 ) on it. The two point-form of a line is:y−y1=y2−y1x2−x1(x−x1) y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) OR y−y2=y2−y1x2−x1(x−x2) y − y 2 = y 2 − y 1 x 2 − x 1 ( x − x 2 ) .

To complete the chart make sure you to determine the number of girls and boys in each belt category, and verify the total people.

This requires you to complete the chart presented based on graph, a data chart, or similar.

Note: This question is incomplete; due to this, the answer is based on general knowledge.

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Answer:

4:25

8:125

Step-by-step explanation:

Surface Ratio is the "Similarity Ratio" to the power of 2

Volume Ratio is the "Similarity Ratio" to the power of 3

It's logical and deductable by paying attention to the correlation between the "Side"s(or "Diameter"s) and the "Surface" and the "Volume"s in simple shapes like Circles and square.

By paying attention to the formula of the "Surface Area" and the "Volume" or the m /m^2 /m^3 ( the units of measurement) we can easily notice the relation.

Answer:

False

Step-by-step explanation:

Angles 1 and 2 are not adjacent because they do not share any common line segments with each other.

Answer:

False

Step-by-step explanation:

The definition of adjacent angles is two angles that share a common side and a common vertex. Also, they don't overlap

So in this case ∠1 and ∠2 share the common vertex A but do not share the common side, so these angles are not adjacent.

In this diagram, an example of adjacent angles would be ∠1 and ∠3.

Here's a visual example to understand what I meant  

[tex]\\ \rm\Rrightarrow (2x^2)^3.2yx^0=8x^6.2y=16x^6y[/tex]

[tex]\\ \rm\Rrightarrow (2x^4y^3)^3.2x^4y^4=8x^{12}y^6.2x^4y^4=16x^{16}y^{10}[/tex]

[tex]\\ \rm\Rrightarrow (m^3n^0(2m^3n^2)^4)^2=(m^316m^{12}n^8)^2=(16m^{15}n^8)^2=256m^{30}n^{16}[/tex]

[tex]\\ \rm\Rrightarrow (2xy^3)^2.2x^2y^0=4x^2y^6.2x^2=8x^4y^6[/tex]

Answer

Please see attached photo below for detailed analysis

Explanation

Answers:  

k = -3.5

Intersection point is (0.5, -2.5)

================================================

Explanation:

Apply the derivative to y=2x^2-3 and you should get dy/dx = 4x

The derivative helps determine the slope of the tangent at any point on the curve.

The slope of the tangent line y = 2x+k is 2.

We want the slope of the tangent to be 2, so we'll replace the dy/dx with 2 and solve for x.

dy/dx = 4x

2 = 4x

x = 2/4

x = 0.5

Plug this into the curve's original equation.

y = 2x^2 - 3

y = 2(0.5)^2 - 3

y = -2.5

Therefore, the tangent line y = 2x+k and the curve y = 2x^2-3 intersect at the point (0.5, -2.5). This is the point of tangency.

We'll use the coordinates of this point to determine k.

y = 2x+k

-2.5 = 2(0.5) + k

-2.5 = 1 + k

k = -2.5-1

k = -3.5

Visual verification is shown below. I used GeoGebra to make the graph, but you could use any other tool you prefer (such as Desmos).

Answer:

3/2

Step-by-step explanation:

[tex] {x}^{3} = \frac{27}{8} [/tex]

[tex] x = \sqrt[3]{ \frac{27}{8} } = \frac{3}{2} [/tex]

Length of the rectangle is 8 units

Step-by-step explanation:

Area of the rectangle = 48 units

Length = x + 2

⇒ Area = Length × Breadth

48 = x (x + 2)

48 = x² + 2x

x² + 2x - 48 = 0

x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)

x(x + 8) - 6(x + 8) = 0

(x - 6)(x + 8) = 0

⇒ x = 6, -8 (negative value is neglected)

∴ x = 6

x + 2 = 8

area triangle:

(1.7m×2m)×2

= 1.7m²

-> 2 triangles so: 1.7m²×2= 3.4m²

area rectangles(walls):

2m×3m

= 6m²

-> 2 walls so: 6m²×2=12m²

area bottom rectangle:

3m×2m=6m²

-> total area:

6m²+12m²+3.4m²= 21.4m²

The total area available for cars to park is 858 square meters, the number of compact parking space is 68 and the number of non-compact parking space is 52

The total area available

The dimension of the parking lot is:

78 meters by 19 meters

The dimension of the aisle is:

8 meters by 78 meters

The total area available is the difference between the area of the parking lot and the area of the aisle.

So, we have:

Available Area = 78 * 19 - 8 * 78

Available Area = 858

Hence, the total area available for cars to park is 858 square meters

The number of parking space

The total area available for cars to park is 858 square meters, and the area of each parking spot is 12.5 square meters

So, the number of parking lot is:

n = 858/12.5

n = 68.64

Remove the decimal

n = 68

Hence, the number of parking space is 68

The number of parking space for non-compact parking space

The total area available for cars to park is 858 square meters, and the dimension of each parking spot is 5.5 meter by 3 meters

So, the number of parking lot is:

n = 858/(5.5 * 3)

n = 52

Hence, the number of parking space is 52

Read more about areas at:

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Answer:

The above answer is correct!

To put it a bit more simply:

First box: C. 858

Second box: C. 68

Third box: B. 52

Step-by-step explanation:

Hope this helps!

Answer:

$1.35

Step-by-step explanation:

8n = 10.80

Divide both sides by 8 to get n alone.

n = 10.80/8 = $1.35

Answer:

area: 105.3

perimeter: 66.7

Step-by-step explanation:

area: 13*16.2/2 = 105.3            formula S = B*H

perimeter: 31+16.2+19.5 = 66.7      

Answer:

[tex]c = 9[/tex]

Step-by-step explanation:

[tex] {(x - a)}^{2} = {x}^{2} - 2ax + {a}^{2} \\ 2ax = 6 \\ a = 3 \\ c = {a }^{2} \\ c = 9[/tex]