solve using long division (4x^4-15x^3+7x^2-1) divided by (x^3-x+2)

[tex]\longmapsto[/tex]The value of "x" is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A trapezium ABCD in which AB || CD such that

Now,

[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]

[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]

[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]

[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]

[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]

[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]

[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]

[tex]\bf\longmapsto \:x = 5[/tex]

Answer:

8=2/3c

Step-by-step explanation:

Each bowl requires 2/3 pounds of clay

To make 8 bowls, Jamal needs 5 1/3 pounds of clay

1. The equation to represent amount is, x= b*c

2. Amount of clay Jamal needs to make 8 bowls is 8c.

A mathematical statement that is made up of two expressions connected by an equal sign.

let the amount of clay be x.

The number of bowls be b and c is pounds of clay.

So, Total cost

x= b * c

Now, if number of bowls are 8 then

x= 8*c

x=8c

So, the amount of clay Jamal needs to make 8 bowls is 8c.

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Answer:

13

Step-by-step explanation:

Since this is a right triangle, you can use the Pythagorean Theorem.

The side y would be the hypotenuse.

[tex]a^{2} + b^{2} = c^{2}[/tex]

Plug it in:

[tex]5^{2} + 12^{2} = y^{2}[/tex]

Isolate y:

y = [tex]\sqrt{ 5^{2} + 12^{2} }[/tex]

Solve:

y = 13

Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)

Hope this helps!

As long as you believe in yourself, you can do anything.

Answer:

brruhhh

Step-by-step explanation:

[tex]\bold{Hello~!}[/tex]

What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]

[tex]\sf{ 0.125}[/tex]

Hope It Helps!

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[tex]\underline{Answer~:}[/tex]

[tex]\sf{Miwsow}[/tex]

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Answer:

y = -2/3x - 2

Step-by-step explanation:

Picking two points on the line: (0,-2) & (-3,0)

Using the slope formula:

[tex]\frac{x2-x1}{y2-y1}[/tex]

= (0-(-2))/(-3-0)

= 2/-3

= -2/3

y = -2/3x + c

Subsituting (0,-2) into 'y = -2/3x+c':

-2 = 0 + c

c= -2

Hence,

y = -2/3x -2

Hope this helps, and be sure to have a wonderful time ahead at Brainly! :D

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Answer:

b = 12.5 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 25 and h = 4 , then

[tex]\frac{1}{2}[/tex] × 4 × b = 25 , that is

2b = 25 ( divide both sides by 2 )

b = 12.5 ft

Step-by-step explanation:

ajhai ans Pani chaiyo ki sabai ko ans pathau

Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.

a. x+60⁰+30⁰=180⁰

x+90⁰=180⁰

x=180⁰-90⁰

x=90⁰

b. x+3x+40⁰=180⁰

collect like terms

4x+40⁰=180⁰

4x=180⁰-40⁰

4x=140⁰

Divide both sides by 4

x=35⁰

c. x+(x+7)+(x+5)=180⁰

3x+12=180⁰

3x=180⁰-12

3x=168⁰

x=168⁰÷3

x=56⁰

d. 52+x+y=180⁰

keeping in mind, two sides of this triangle are equal...

180⁰-52⁰=128⁰

128⁰÷2=64⁰

x=64⁰

x=64⁰ y=64⁰

e. b+a+90⁰=180⁰

right angled triangle

180⁰-90⁰=90⁰

90⁰÷2=45⁰

b=45⁰

b=45⁰ a=45⁰

f. Angles on a straight line equals 180⁰

180⁰-130⁰=50⁰

x=50⁰

Back to the triangle, in which two are equal,

50⁰+x+y=180⁰

180⁰-50⁰=110⁰

110⁰÷2=55⁰

y=55⁰

y=55⁰ z=55⁰

To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.

Answer:

4 pieces

Step-by-step explanation:

To perform the calculation, it's easier for both values to have the same denominator.

2/3 yards is the same as 4/6 yards.

Now we have two values with the same denominator: 4/6 and 1/6.

(4/6) / (1/6) = 4.

Answer:

72km/h

Step-by-step explanation:

Bus - 45 mins at 40km/h

Car - 25 mins at ?

First, find the distance travelled by the bus (since, the journey of the two vehicles are the same, the distance would be the same as well)

Now we can find the speed of the car using the equation

2x^2 + 6x - 7 - 9x^2 + 11

(2x^2 - 9x^2) + (6x) + (-7 + 11)

-7x^2 + 6x + 4

Hope this helps!! :)

Answer:

=- 7x^2+6x+4

Step-by-step explanation:

Answer:

what expressions

Step-by-step explanation:

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y  =  8x+12y

6x+7y  ≠  6x+12y

8x+y+2y  = 8x + 3y ≠  8x+12y

8x+4y+8y = 8x+12y = 8x+12y

hope this help

Answer:

LN = 37

Step-by-step explanation:

The Segment Addition Postulate tells us that LM+MN = LN

Answer:

4.79

Step-by-step explanation:

How to get the mean:

Step 1: Add all numbers together

This was 19.16

Step 2: Divide the total by the amount of things being added (4 because 4 days)

This was 4.79

Hope this helps

Answer:

HG=7 , which would mean that HI =7 and KL = 6 so MK = 6

Answer:

HI = 7 and m ∠K = 100°

Step-by-step explanation:

In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are =  and the angles are equal.

So HI = 7

In Δ KLJ, two sides are equal.  If two sides of a triangle are equal then the angles opposite those sides are equal.

Now  you know that m ∠L = 40°.   In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°

f(x)−4 involves translating the graph of f(x) DOWN by 4 units.

4f(x) involves vertical stretching of the graph by a factor of 4.

Answer:

n = 27

Step-by-step explanation:

Multiplication has the commutative property, which means it doesn't matter what way around you put the numbers e.g. 4 × 3 = 3 × 4

So 27π = 27 × π = π × 27

n is 27

Answer:

The map scale is 1 : 475200

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope: 7/1

y-intercept: (0,-4)

Start in the y-intercept (0,-4). Go up 7 and 1 to the right. You only need two points to trace a line.

Answer:

[tex]u(2) = 3[/tex].

Step-by-step explanation:

A function [tex]f: A \to B[/tex] is a set of ordered pairs ([tex]2[/tex]-tuples in the form [tex](a,\, b)[/tex]), such that for any [tex]a \in A[/tex], there is exactly one [tex]b \in B[/tex] such that [tex](a,\, b) \in f[/tex].

In other words, for any element [tex]a[/tex] in the domain of this function, there must be exactly one ordered pair with this [tex]a\![/tex] as the first element.

If [tex]f[/tex] meets these requirements, then for any [tex]a \in A[/tex] and [tex]b \in B[/tex], write [tex]f(a) = b[/tex] if and only if [tex](a,\, b) \in f[/tex].

In other words, write [tex]f(a) = b[/tex] ([tex]f[/tex] maps [tex]a[/tex] to [tex]b[/tex]) if and only if there is an ordered pair in [tex]f\![/tex] with [tex]a\![/tex] as the first element and [tex]b\![/tex] as the second element.

The [tex]u[/tex] in this question is indeed a set of ordered pairs and meet the requirements for being a function from [tex]\lbrace 1, 2, 3\rbrace[/tex] to [tex]\lbrace 2,\, 3,\, 4 \rbrace[/tex].

The question is asking for the value of [tex]u(2)[/tex]. Thus, it would be necessary to find an ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element.

The only ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element is [tex](2,\, 3)[/tex]. Thus, [tex]u\![/tex] maps [tex]2\![/tex] to [tex]3\![/tex], such that [tex]u(2) = 3[/tex].

Answer:

x=6

Step-by-step explanation:

Combine the equations and make them equal 180 because they make a linear angle. Simplify and solve. Good luck! 23×+3+6x+3=180

These two angles are supplementary. Since lines V and W are parallel, if we look at the corresponding angles for each given expression, we can see that they are congruent.

23x + 3 + 6x + 3 = 180

29x + 6 = 180

29x = 174

x = 6

Hope this helps!! :)

Answer:

ms finch

Step-by-step explanation:

.

Answer:

C. Linearly Independent, Unique solution

Step-by-step explanation:

x=11/2

y=7/4

z=2

Answer:

12x=4y........................................

Answer:

D.

Step-by-step explanation:

It is simple. Subtract 7* from 65* to get you 58* F.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given complex number is

[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{4 - 1 + 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{3+ 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]

We know,

[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 + 16} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{25} [/tex]

[tex]\rm \:  =  \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]