Guys, I beg you! How do you do these factoring quadratic equations!

Which is a solution to (x − 2)(x + 10) = 13

Answers

Answer 1
times the x’a together and x*10 then 2*x and 2*10
Answer 2
Answers:  x = -11 and x = 3

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

Explanation:

There are at least three ways to solve this.

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

Method 1:

We could graph y = (x-2)(x+10) using a tool like Desmos. Graph y = 13 as well which is a horizontal line.

Check out the screenshot shown below.

The parabola in red and the horizontal line in blue intersect at the locations (-11, 13) and (3, 13)

We only focus on the x coordinates of the intersection points.

Therefore, the two solutions are x = -11 and x = 3

The order of the solutions doesn't matter.

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

Method 2:

Expand things out and get everything to one side

(x-2)(x+10) = 13

x^2 + 10x - 2x - 20 = 13

x^2 + 8x - 20 - 13 = 0

x^2 + 8x - 33 = 0

From here we can use the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-8\pm\sqrt{(8)^2-4(1)(-33)}}{2(1)}\\\\x = \frac{-8\pm\sqrt{64+132}}{2}\\\\x = \frac{-8\pm\sqrt{196}}{2}\\\\x = \frac{-8\pm14}{2}\\\\x = \frac{-8+14}{2} \ \text{ or } \ x = \frac{-8-14}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{-22}{2}\\\\x = 3 \ \text{ or } \ x = -11\\\\[/tex]

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

Method 3:

Instead of using the quadratic formula, we could factor.

To factor x^2+8x-33, we need to find two numbers that

Multiply to -33Add to 8

Through trial and error, you should get 11 and -3

11 times -3 = -3311 plus -3 = 8

So,

x^2+8x-33 = 0

(x+11)(x-3) = 0

x+11 = 0 or x-3 = 0

x = -11 or x = 3

Guys, I Beg You! How Do You Do These Factoring Quadratic Equations!Which Is A Solution To (x 2)(x + 10)

Related Questions

Find the mean given normal curve

Answers

Answer:

66

Step-by-step explanation:

84 = mean + 3sd

60 = mean - sd

sd = mean - 60

84 = mean + 3(mean - 60)

84 = mean + 3mean - 180

264 = 4mean

mean = 66

does someone mind helping me with this problem? Thank you!

Answers

Using the Pythagorean theorem:

c = sqrt(8^2 + 7^2)

c = sqrt(64 + 49)

c = sqrt(113)

c = 10.6

10.6
This is because A^2 + B^2 = C^2 therefore 8^2 + 7^2 = 113^2 you would then square root to get 10.6

Is the sequence arithmetic? If so, identify the common difference.

11, 15, 19, 23, ...

Answers

This sequence is arithmetic because it has a common difference of 4.

Hope this helps

please can someone see this ​

Answers

Answer:

x = 88 degrees

Step-by-step explanation:

Its really easy. All you have to do is subtract all the known angles from 360 since a quadrilateral has 360 degrees

360 - 106 - 114 - 52 = 88

Hope this helped!

Answer:

x = 88°

Step-by-step explanation:

Quadrilaterals:     Sum of all angles of quadrilaterals = 360°

                                        x + 52 + 114 + 106     = 360°

                                                        x   + 272     = 360

                                                                       x = 360 - 272

                                                                      [tex]\sf \boxed{x= 88^ \circ}[/tex]

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 29 feet up. The ladder makes an angle of 71^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary

Answers

Answer:

30.6716 feet

hope it helps you

Is length 25 inches and the width 2 inches 50 inches

Answers

Answer:

if it is the area your talking about, but if it is the perimeter its 54

Step-by-step explanation:

a rectangular prism has 711.68 cubic feet and its 4 feet long and 12.8 feet wide what's the height

Answers

Given:

[tex]w = 12.8 \: ft[/tex]

[tex]l = 4 \: ft[/tex]

[tex]v = 711.68 \: {ft}^{3} [/tex]

To find:

The height of the given rectangular prism.

Solution:

[tex]v = lbh[/tex]

[tex]12.8 \times 4 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]51.2 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]h = \frac{711.68}{51.2} [/tex]

[tex]h = 13.9 \: ft[/tex]

Therefore, the height of the given rectangular prism is 13.9 feets.

pls help me classify this asap?!?!

Answers

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

Classification of triangles

Triangles is a 3-D shape with 3 sides and angles.  The types of triangle that we have include;

ScaleneIsoscelesEquilateralObtuseRight triangle

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

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What is the sur face area?
1 cm
1 cm
1 cm


Answers

Answer:

should be 6cm

Step-by-step explanation:

if you are looking at a cube

Answer:

6 cm 2

Step-by-step explanation:

Surface area of a cube then 1 x 1 x 1 x 6 (6 faces )

Which of the following is a proportion?

4/6=6/9
4/3=6/8
5/6=10/18
2/5=4/25

Answers

Answer:

4/6 = 6/9

Step-by-step explanation:

Because 4/6 = 2/3 and 6/9 = 2/3

Answer:

4/6 = 6/9

Step-by-step explanation:

Which causal relationship is justifiable?

Answers

Only (c) makes sense.  The game draws people, which in turn means more cars and heavier traffic in the surrounding area.

The edge of a cube measures 3 1/2 inches each. what is the volume of the cube

Answers

Answer:

42.875

Step-by-step explanation:

V=BxHxW

3 1/2 =3.5

3.5 x 3.5 x 3.5

=42.875 cubic in.

The plan of a school playing field is drawn to a scale 1 : 2000. The length of the field on the scale drawing is 6 cm. Find the actual length of the field in cm

Answers

The answer is 12000 cm. 6 x 2000=12000

A cone has a height of 2. 5 in. And a radius of 5 in. What is the volume of the cone? (Use 3. 14 for Pi. Round the answer to two decimal places. ) 32. 71 Inches cubed 65. 42 Inches cubed 196. 25 Inches cubed 588. 75 Inches cubed.

Answers

The volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed

Calculating the volume of a Cone

From the question, we are to determine the volume of the cone

The volume of a cone can be calculated by using the formula,

V = 1/3 πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

h = 2.5 in

r = 5 in

and π = 3.14

Putting the values into the formula, we get

V = 1/3 × 3.14 × 5² × 2.5

V = 65.42 in³

Hence, the volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed

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Hi can you help me Find h?
Find h

Answers

Answer:

6

Step-by-step explanation:

1.5 in
3.3 in
What's the area

Answers

Answer: 6.96 in^2

Step-by-step explanation:

Trapezoid Area

A = [tex]\frac{a+b}{2} h[/tex]

= [tex]\frac{1.5 + 3.3}{2} * 2.9[/tex]

= [tex]\frac{4.8}{2} * 2.9[/tex]

= 2.4 * 2.9

= 6.96

Find the difference of functions s and r shown
below
r(x) = -x² + 3x
s(x) = 2x+1
(s-r)(x) =

Answers

Answer:

-x +x^ + 1

Step-by-step explanation:

s(x) - r(x) = 2x + 1 - ( - x^ + 3 x )

2x + 1 + x^ - 3 x

2x - 3x + x^ + 1

-x + x^ + 1

If F(x) = 1-x^2+x^3 then f(-1)=

Answers

Answer:

f(-1)=-1

Step-by-step explanation:

substitute -1 for x:

f(-1)=1-(-1)^2+(-1)^3

then solve,

f(-1)=1-1-1

f(-1)=-1

I need help on this please​

Answers

Answer:

only C is a function cause a function has only 1 same value.

What is the solution to the system of equations?
5x – 4y = -2
2x + 4y = 16

Answers

Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 2, x = 3

Step-by-step explanation:

[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Step\;by\;step\;solving}:[/tex]

[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]

[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]

[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]

[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]

[tex]\mathrm{Then, substitute\:}y=3[/tex]

[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]

[tex]\mathrm{Solving:\;x=2}[/tex]

[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,x=3[/tex]

~Kavinsky~

how many yards are equal to 25 feet?

Answers

The answer is 8.3 yards

Answer:

8 & 1/3 yards equals 25 feet

Amelie has a spinner divided into ninths equal sections that are labeled 1 through 9. she wants to compare the theoretical probability and experimental probability as spending an odd number she spends the spinner 12 times and records the results in this list. Drag and drop the answers into the boxes to correctly complete the sentences.
•Theoretical probability of spinning in on number is equal to (blank). The probability of spinning a number is equal to (blank). Therefore the theoretical probability of being a number is (blank) the experimental probability of spelling and odd number.

Choices- 1/9. 1/2. 5/9. 2/3. greater than. less than.

Answers

The theoretical probability =[tex]\dfrac{5}{9}[/tex],  The experimental probability  = [tex]\dfrac{5}{12}[/tex]

What is experimental probability?

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The sample will be ={1,2,3,4,5,6,7,8,9}=9

favourable outcomes={1,3,5,7,9,}=5

The theoretical probability of spinning and odd number = [tex]\dfrac{5}{9}[/tex]

As she spends the spinner 12 times

The experimental probability = [tex]\dfrac{5}{12}[/tex]

Hence the theoretical probability =[tex]\dfrac{5}{9}[/tex],  The experimental probability  = [tex]\dfrac{5}{12}[/tex]

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Answer:

The theoretical probability of spinning an odd number is equal to 5/9 The experimental probability of spinning an odd number is equal to 2/3. Therefore, the theoretical probability of spinning an odd number is less. than the experimental probability of spinning an odd number.

if you could give me brainliest i would greatly appreciate it.

help me pleaseeeeeeeee

Answers

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The value of x is 10.

What is a rectangle?

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

The angle of a rectangle is always 90°, Also, the sum of the ∠CFD and ∠DFE is ∠CFE which is an angle of the rectangle CDEF. Therefore, we can write,

∠CFD + ∠DFE = 90°

6x + 3x = 90°

9x = 90°

x = 10

Hence, the value of x is 10.

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Honestly I just rly need this done by tomorrow and i’m so exhausted

Answers

Hope this helps! Have a good day!

A gardener makes a new circular flower bed. The bed is
ten feet in diameter. Calculate the circumference and the
area of the circular flower bed.
circumference = 10 feet, area =
10r square feet
O circumference = 10r feet, area = 25r square feet
circumference = 5r feet, area = 257 square
feet
circumference = 10r feet, area = 1007 square feet

Answers

Answer:

B. Circumference  = 10r feet, area = 25r feet

Step-by-step explanation:

C = [tex]\pi[/tex] x 10

C = 10n

A = n x 5x5

A = 25n

The graph below shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph represents 1 foot, find the perimeter of the design.

Answers

Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).

What is the perimeter?

This is the total distance of all the sides in a shape. Due to this, the general formula is:

Perimeter = side + side + side.

What is the perimeter of the doghouse?Horizontal side: 8 feetVertical sides: 10 feetDiagonal sides: 10 feet

8+10+10= 28 feet.

Note: This question is incomplete because the graph is missing; here is the graph:

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Help please it is timed 40 pts

Answers

Answer:

The answer is D

Step-by-step explanation:

If you use. MAD then all you have to do is multiply add then divide so the 1/4 +1/16 +. 1/64 + 1/256 = 1/3 so round it and. its 1/3 (1/4)

Answer: choice d

Step-by-step explanation: i asked my mom :/

Determine the equation of a cubic of the form
y=ax^3+bx^2+c if the cubic has a y-intercept of (0,3) and passes through the points (1,6) and (-1,4).

Answers

Answer:   y = x^3+2x^2+3

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

Explanation:

If you plug in x = 0 and y = 3, then the original equation boils down to c = 3. The x = 0 cancels out pretty much everything except that c term.

We have y=ax^3+bx^2+c update to y=ax^3+bx^2+3

Now plug in x = 1 and y = 6 from the point (1,6)

y=ax^3+bx^2+3

6=a(1)^3+b(1)^2+3

6 = a+b + 3

a+b = 6-3

a+b = 3

Now plug in the coordinates of (-1,4) which are x = -1 and y = 4

y=ax^3+bx^2+3

4=a(-1)^3+b(-1)^2+3

4 = -a + b + 3

-a+b = 4-3

-a+b = 1

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

Here are the two equations we're interested in

a+b = 3

-a+b = 1

We'll add these equations straight down. The 'a' terms cancel. The b terms add to 2b. The right hand sides add to 3+1 = 4

We're left with 2b = 4 and it solves to b = 2

Use any of the equations involving 'a' and b to determine that a = 1

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

To summarize we have

a = 1

b = 2

c = 3

This means y=ax^3+bx^2+c updates fully to y=1x^3+2x^2+3 which simplifies to y = x^3+2x^2+3 and it's the final answer.

Visual verification is shown below. Desmos is a graphing tool I use all the time, as well as GeoGebra. Both are free apps.

In the adjoining figure, ABCD is an isosceles trapezium in which angle BCD= 2x and angle ABC=3x. Find all the angles of the trapezium.

Answers

The trapezium is an isosceles trapezium. Then the measure of all angles will be 54°, 36°, 36°, and 54°.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the adjoining figure, ABCD is an isosceles trapezium in which angle ∠BCD = 2x and angle ∠ABC = 3x.

Then all the angles of the trapezium will be

Agngle ∠BCD = ∠ADC and angle ∠ABC = ∠BAD because the trapezium is an isosceles trapezium. Then we have

Then the value of x will be

∠ABC + ∠BCD + ∠CDA + ∠DAB = 180°

                        3x + 2x + 2x + 3x = 180°

                                              10x = 180°

                                                  x = 18°

Then the measure of all angles will be

∠ABC = ∠BAD = 3x = 3 × 18 = 54°

∠BCD = ∠ADC = 2x = 2 × 18 = 36°

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Can someone please answer my question? I really need help please !​

Answers

If the data values are as shown in the picture I have attached, then the following should help.

Answer: 226.56  m²

Step-by-step explanation:

  We need to find the area of three rectangles and two triangles.

    The triangles: 34.56 m²

A = [tex]\frac{B*H}{2}[/tex]

-> Since they are both congruent, we will skip dividing by two

A = B * H

A = 7.2 * 4.8

A = 34.56 m²

   The rectangles: 192 m²

A = L * W

-> We have two that are congruent, and one that is not

A = 10 * 6 * (2, since there are two)

A = 120 m²

-

A = L * W

A = 7.2 * 10

A = 72 m²

-

72 m² + 120 m² = 192 m²

   Total surface area:

34.56 m² + 192 m² = 226.56  m²

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