factorise (x+1)^2 + 4(x+1)

Answers

Answer 1

Answer:

(x + 1)(x + 5)

Step-by-step explanation:

Given

(x + 1)² + 4(x + 1) ← factor out (x + 1) from each term

= (x + 1)(x + 1 + 4)

= (x + 1)x + 5)


Related Questions

Which number can each term of the equation be multiplied by to eliminate the fractions before solving ?
-3/4m - 1/2 = 2 + 1/4m

Answers

Answer:

4

Step-by-step explanation:

-3/4m - 1/2 = 2 + 1/4m

The denominators are 4 and 2

If we multiply by the least common multiply we can get rid of the fractions

2 and 4 have a least common multiple of 4

the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.

Answers

Answer:

The numbers you're looking for are 54, 55, and 56.

Step-by-step explanation:

x + (x + 1) + (x + 2) = 5 * (x + 1 - 22)

3x + 3 = 5x - 105

3 = 2x - 105

108 = 2x

x = 54

x + 1 = 55

x + 2 = 56

Find the size of the angles marked by letters in the following diagram.​

Answers

Answer:

x = 52

y = 19

Step-by-step explanation:

The degree measure of a straight line is (180) degrees. One can use this to find the measure of the angle that is adjacent to the angle with a measure of (142) degrees. Form an equation and solve for the unknown,

142 + (unknown angle) = 180

unknown angle = 38

The inscribed angle theorem states that twice the measure of an angle with its vertex of the circumference (outer edge) of a circle is equal to the measure of the surrounding arc. Therefore, one can state the following:

(2)(unknown angle) = (surrounding arc)

(2)(38) = (surrounding arc)

76 = surrounding arc

The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equal to the measure of the surrounding arc. Therefore, one can state the following:

m<O = (surrounding arc)

m<O = 76

The radius is the distance from the center of the circle to the circumference of the circle. All radii in a circle are congrunet. Therefore the triangle with angle (x) and vertex (O) is an isosceles triangle, as two of its sides are radii, and are thus congruent. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides in an isosceles triangle are congruent. Moreover, the sum of angles in any triangle is (180) degrees. Therefore, one can make the following statement:

m<O + x + x = 180

76 + 2x = 180

x = 52

Finally, one can use the property that the sum of angles in any triangle is (180) degrees to make the following statement:

(x + 19) + (x + y) + (38) = 180

52 + 19 + 52 + y + 38 = 180

161 + y = 180

y = 19

x=52°

y=19°

Answer:

Solution given:

<OCA=19°[base angle of isosceles triangle]

Since ∆AOC is similar to ∆ BOC

y=19°[corresponding angle of a similar triangle are equal]

<OAB=<OBA=x[base angle of isosceles triangle]

again

<A+<B=180°[exterior angle of a triangle is equal to the sum of two opposite interior angle]

x+19+x+19=142°

2x=142°-38°

x=104/2

x=52°

What is the equation of the graphed line written in
standard form?
O x=-3
O y = -3
O x + y =-3
O X-y=-3

Answers

Answer:

Option A, x = -3

Step-by-step explanation:

Step 1:  Find the graphed line

x = -3

Answer:  Option A, x = -3

The following points are rotated about the origin through 90° in clockwise direction. Find the new coordinates,
A. A(1,3), B(5,3), and C(3, 1)
B. A' (3,-1), B'(-5, -3), and C (1.-3)
C. A'(3,-1), B (3,-5), and C(1, -3)
D. O A'(3, 1), B'(3,5), and C(1,3)

Answers

Answer:

C

Maybe it is B or A as the answer.

Answer:

B.

A'(1,-3), B'(1,-7), C'(-3,-7), D'(-3,-3)

Step-by-step explanation:

study island

The latest online craze is a new game,khan on seven. You get 100 points for playing the game. In addition,you get 50 points for each seven-letter word you make with the ten letter you receive.sal wants to break the record,and he needs 18,000 or more points to do so

Answers

Answer:

how do I get started here

Can someone help me with this math homework please!

Answers

Answer:

I believe its (-3,-2)...........

Which set of numbers does NOT represent the lengths of the sides of a triangle? A.) (7,5,6)
B.) (9,12,19)
C.) (7,18,11)
D.) (6,8,11)

Answers

Answer: B and C

Step-by-step explanation:

the triangle inequality theorem states that any 2 sides of a triangle must be greater than the measure of the third side. now with this rule, let's apply it to all options!

option a:

7 + 5 > 6 .. yes!

6+ 7 > 5 .. yes!

5 + 6 > 7 .. yes!

option b:

9 + 12 > 19 .. yes!

12 + 19 > 9 .. no!

19 + 9 > 12 .. no!

option c:

7 + 11 > 18 .. no!

11 + 18 > 7 .. no!

18 + 7 > 11 .. yes!

option d:

6 + 8 > 11 .. yes!

8 + 11 > 6 .. yes!

11 + 6 > 8 .. yes!

i did this topic years ago so please let me know if there are any mistakes! hope this helped, and good luck! ◝(ᵔᵕᵔ)◜

Two numbers are in the ratio 2:3 and their sum id 45 then find both numbers​

Answers

Let the numbers be 2x and 3x.

According to the Question,

2x + 3x = 45

5x = 45

x = 45/5

x = 9

Now finding the values of both the number,

2x = 2 × 9

= 18

3x = 3 × 9

= 27

Hence, the value of both the number is 18 and 27 respectively.

Now we have to,

find the both required numbers.

It is given that,

→ Two numbers are in the ratio 2:3.

→ Their sum is 45.

Now assume numbers as,

→ 2y and 3y

As per the given information,

→ 2y + 3y = 45

First we can find the value of y,

→ 2y + 3y = 45

→ 5y = 45

→ y = 45/5

→ [y = 9]

The given ratio is,

→ 2 : 3

Let's find the value of 2y,

→ 2y --- {y = 9}

→ 2 × (9)

→ 18

Let's find the value of 3y,

→ 3y --- {y = 9}

→ 3 × (9)

→ 27

Hence, the number is 18 and 27.

Please help 33 points

Answers

Answer: it’s 111

Step-by-step explanation:

Instructions: Find the measure of the indicated angle to the nearest
degree.
?
35
19
?

Answers

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and the adjacent side. Therefore, we should use the tangent function.

tan(x) = 19 / 35

x = tan^-1(19/35)

x = 28 degrees

Hope this helps!

i need to know this

Answers

Answer:

12

Step-by-step explanation:

24/x = x/6

x^2 =24*6 = 144

x=12

Bryant bought 5 pounds of bananas for $3.45. If Mel bought 7 pounds of
bananas from the same market stand, how much did he pay?

Answers

Answer:

Here is your answer..

Hope it helps

He paid $4.83… work attached

At an amusement park, 63 out of 70 tickets sold were discount tickets.
What percentage of the tickets were discount tickets?

Answers

Answer:

90%

Step-by-step explanation:

63/70 = 0.9 = 90%

Answer:

63 out of 70

63×10÷70=9

9%

How many solutions does the system of equations below have? y = – 2x − 6 y = – 2 x + 3 5 one solution one solution two solutions two solutions infinitely many solutions infinitely many solutions no solution

Answers

Answer: No solution

Step-by-step explanation:

Given

Pair of lines are

[tex]\Rightarrow y=-2x-6\ \text{and}\ y=-2x+35[/tex]

For lines [tex]a_1x+b_1y+c_1=0\ \text{and}\ a_2x+b_2y+c_2=0[/tex]  will be parallel when

[tex]\Rightarrow \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]

Rewrite the given lines

[tex]y+2x+6=0\ \text{and}\ y+2x-35=0[/tex]

[tex]\Rightarrow \dfrac{2}{2}=\dfrac{1}{1}\neq\dfrac{6}{-35}\\\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}\neq\dfrac{6}{-35}[/tex]

Thus, the given lines are parallel. Therefore, there is no solution for the givebn pair of lines.

If 1 brick and 1/2 a brick together weigh 1 kg, what is the weigh of two whole bricks in kilos

Answers

Answer:

4/3 kg

Step-by-step explanation:

Let x represent a half brick, let y represent a 1 brick.

We know that 1 brick and 1/2 brick weigh 1 kg. so we represent this as

[tex]x + y = 1[/tex]

We know that obviously x is half of y. so

[tex]x = \frac{1}{2} y[/tex]

Subsitur this for x.

[tex] \frac{1}{2} y + y = 1[/tex]

[tex] \frac{3}{2} y = 1[/tex]

[tex] y = \frac{2}{3} [/tex]

This means one block weight 2/3 kg. So how much 2 weigh.

[tex] \frac{2}{3} \times 2 = \frac{4}{3} [/tex]

Answer:

The answer above is correct

Step-by-step explanation:

I need help what’s the answer I’m trying to pass?

Answers

Answer:

11.925

Step-by-step explanation:

11.925 i divided 19.08 with 1.609 then rounded

The equation of the line is y =?

Answers

Answer:

y = -x/2 - 14

Step-by-step explanation:

Hint: The slope shows the rise over run, in this case, the slope is going 1 unit to the right and two units down.

Can someone help me with this math homework please!

Answers

Step-by-step explanation:

To give you a hand for this question, I will show you how to work out one of the equations

One equation is [tex]y - 1 = \frac{-5}{4} (x-2)[/tex]

We know that when x = -2, y = 6

So we can substitute in -2 and see if we get 6

[tex]y - 1 = \frac{-5}{4} (-2-2)[/tex]

[tex]y - 1 = \frac{-5}{4} * (-4)[/tex]

[tex]y - 1 = 5[/tex]

[tex]y = 5 + 1[/tex]

[tex]y=6[/tex]

So this equation is true! Now try the same for the other equations :)

Answer:

Step-by-step explanation:

find an equation of the line with an x intercept of -2 and a slope of 3
I WILL GIVE BRAINLIEST PLEASE HELP

Answers

Answer:

y= 3x -6

Step-by-step explanation:

The equation if a line can be written in the form of y= mx +c, where m is the slope and c is the y- intercept.

Given that the slope is 3, m= 3.

Substitute m= 3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates into the equation.

Given that it has an x- intercept of -2, the line passes through the point (-2, 0). This is because x- intercept is the point at which the line passes through the x- axis, and this occurs at y= 0.

When x= -2, y= 0,

0= 3(-2) -c

0= -6 -c (expand)

c= -6 (+c on both sides)

Thus, the equation of the line is y= 3x -6.

13 Solve the inequality n+7<5n-8

Answers

Answer:

3.75 < n

Step-by-step explanation:

n + 7 < 5n - 8

Add 8 to both sides

n + 7 + 8 < 5n

n  + 15 < 5n

Subtract 'n' from both sides

15 < 5n - n

15 < 4n

Divide both sides by 4

[tex]\frac{15}{4}[/tex] < n

3.75 < n

Divide ( 9/11) ÷ (3/2) ​

Answers

Answer:

Its your answer ......

hope it will help u

9/11 divided by 3/3= 9/11 x 2/3= 8/33

What is the volume of this right triangular pyramid?

Height -36

Base:
side 1 -24
side 2 -19

2736 cm³

5472 cm³

8208 cm³

16,416 cm³

Answers

Answer:

The answer is 2736 cm³

Answer:

What is the volume of this right triangular pyramid?

 2736 cm³

5472 cm³

8208 cm³

16,416 cm³

Janes but a small clectric car and recorded the distance it waveled. The table below shows the distance waveled (nt during the st 4 seco
Bapsed Time Distance Traveled
(seconds) feet)
1
62
2
125
3
186
243
Which of the following equations represents the relationship between the distance traveled and the clapsed time?
Of=52-5
52-
+=52
52

Answers

Answer:

50

Step-by-step explanation:

HELP ASAP ILL GIVE BRAINLIST



Construct the equation of the graph given. Label the intercept and categorize this graph a horizontal or vertical line.

Answers

Answer:

Horizontal line

Step-by-step explanation:

uehdjd

PLEASEEEE JESUS PLEASE HELP Find an irrational number that is between 4.2 and 4.5.
Explain why it is irrational.

Answers

9514 1404 393

Answer:

  √20 is not the root of a perfect square

Step-by-step explanation:

4.2^2 = 17.64

4.5^2 = 20.25

The square root of any number between these values that is not a perfect square will be irrational. This includes the roots of the integers 18, 19, or 20.

  4.2 < √20 < 4.5

  √20 ≈ 4.472135954999579...

_____

Of course, there are an infinite number of possibilities. It is easy enough to check to see if a rational number is a perfect square. (Its square root will have half as many decimal digits.) For example, √18.9225 is 4.35 (rational), but √18.9226 ≈ 4.350011494... is irrational.

Square roots are not the only irrational numbers. Polynomial roots, trig function values, logarithms, exponential functions are only some of the ways that irrational numbers can be specified, along with multiples or other combinations of irrational numbers such as π or e. These will be irrational simply because they cannot be expressed exactly as the ratio of two integers.

Point A is a representation of which number on the number line?
A
B
D
-2
0
2
4
0 -3
0 1
T ♡rt

Answers

4 is the number of respresentation of point A ;)

Factorise x^2+x

^2= squared

Answers

Step-by-step explanation:

[tex] {x}^{2} + x = 0 \\ x(x + 1) = 0\\ x = 0 \\ x = - 1[/tex]

is it what ur looking for?

List the integers which satisfy the inequality 4.5< -X ​

Answers

There are an infinite number of them.

The ten greatest ones are -5, -6, -7, -8, -9, -10, -11, -12, -13, and -14 .

Now that I've given you ten of them, there are only an infinite number more. I'm too busy right now to list them all.

Answer:

p and q are two numbers.whrite down an expression of.

Can someone help me with this math homework please!

Answers

Answer:

1 ) - 0.04

2 ) 1

3 ) - 0.04

4 ) Less of 0.04 gallons of fuel for every 1 mile.

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