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[tex] (x + 3)(x + 5)[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + 8x + 15 \\ ={x}^{2} + 5x + 3x + 15 [/tex]

Taking [tex]x[/tex] as common from first two terms and 3 from last two terms, we have

[tex] =x(x + 5) + 3(x + 5)[/tex]

Taking the factor [tex](x+5)[/tex] as common,

[tex] = (x + 3)(x + 5)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

12+12+4+6+26=50

12/50=6/25=0.24=24%

Answer:

1/5.

Step-by-step explanation:

First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.

Answer:=5/2

Step-by-step explanation:

Answer:

1.94

Step-by-step explanation:

Divide 5.95 by 3

Answer:

ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|Welcome to Gboard clipboard, any text you copy will be saved here

Answer:

1/4

Step-by-step explanation:

4/5-(-2/8)= 4/5+2/8 On taking LCM = 42/40= 21/20

Answer:

4

Step-by-step explanation:

Answer:

The distance between -4 and zero is 4.

Step-by-step explanation:

If you count from -4 to 0 you will count 4 which is the answer.

Answer:

Step-by-step explanation:

The intersection point (centroid) divides the medians in ratio 2:1. it does mean that the long segment value is the short segment value multiplied by two. let's call the centroid point G.

BG=DG*2=4*2=8

CG=EG*2=2*2=4

AG=FG*2 =>FG=AG/2=6/2=3

Answer:

7

Step-by-step explanation:

since the whole line is 10 and QR Is a part of the line and is 3. we subtract 3 from 10 to get our answer which is 7.

Answer:A. 32 F

Step-by-step explanation:

im correct if I'm rwong

Answer:

D

Step-by-step explanation:

∠ABC= ∠DBE (vert. opp. ∠s)

(6x -7)°= (4x +23)°

6x -7= 4x +23

Being x terms to 1 side, constant to the other:

6x -4x= 23 +7

Simplify:

2x= 30

Divide both sides by 2:

x= 15

Substituting the value of x:

m∠ABC

= 6(15) -7

= 83

Answer:

Tree = 17.32 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle C + Angle B= Angle A(sum of two interior oppposite angles are equal to the exterior angle formed)

61+B=143

B=143-61

B=82 degree

We know that,

→ C = 61°

[A = B + C]

→ 143° = B + 61°

→ B = 143° - 61°

→ B = 82°

[180° = A + B + C]

→ 180° = A + (82° + 61°)

→ A = 180° - 143°

→ A = 37°

Answer:

125

Step-by-step explanation:

This can be simplified to sqrt(25) ^3

sqrt(25) is 5

          (5*5) = 25

5^3 = 225

          (5*5*5) = 125

Answer:

125

Step-by-step explanation:

[tex]\sqrt[2]{25^3} \\=25\sqrt[2]{25} \\=25*5\\=125[/tex]

Answer:

Sam is  yeas old, and Dean is (x - 10) year's old, where 'x' is the age of their sister

Step-by-step explanation:

The relationship between the ages of the brothers are;

Sam's age + Dean's age = Their sister's age

Dean's age + 10 = Dean's age + Sam's age

Therefore, we have;

Sam's age = Dean's age + 10 - Dean's age = 10

Sam's age = 10 years

Let 'x' represent their sisters age, we get;

Sam's age + Dean's age = x

10 + Dean's age = x

Dean's age (in variable form) = x - 10

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4 , then

y = - 4x + c ← is the partial equation

To find c substitute (- 2, - 5) into the partial equation

- 5 = 8 + c ⇒ c = - 5 - 8 = - 13

y = - 4x - 13 → B

Answer:

$11.50

Step-by-step explanation:

0.25 times 6= 1.5, plus 10= 11.50

Answer:

(0, 1)

Step-by-step explanation:

First, we need to make y the subject of the formula from both expressions

For 4x+8y=5

8y = 5- 4x

y = (5-4x)/5

Similarly for x-3y= -3

-3y = -3 - x

3y = x+3

y = (x+3)/3

Since both lines intersects, hence;

(5-4x)/5 = (x+3)/3

Cross multiply

5(x+3) = 3(5-4x)

5x + 15 = 15 - 12x

5x + 12x = 15 - 15

17x = 0

x = 0/17

x = 0

Sustitute x = 0 into any of the equations

Given that y = x+3/3

y = 0+3/3

y = 3/3

y = 1

This shows that the lines intesects at (0, 1)

9514 1404 393

Answer:

  45 yd²

Step-by-step explanation:

The area of a rectangle is the product of its length and width. If your given measures are the length and with of a rectangle, the area is found by multiplying them.

  A = LW

  A = (9 yd)(5 yd) = 9·5 yd·yd = 45 yd²

The area of a 9 yd by 5 yd rectangle is 45 square yards.

Answer:

A point on the circumference of the tire will travel 7.68 ft.

Step-by-step explanation:

Given;

radius of the car tire, r = 1.6 ft

angular distance or rotation = 275⁰

A complete rotation of the tire = 360⁰

the distance a point on the circumference will travel = 2πr

If 360⁰ = 2πr

then 275⁰ = ?

[tex]= \frac{275 \ \times \ 2\pi r}{360} = \frac{275 \ \times \ 2\pi \times 1.6ft}{360} = 7.68 \ ft[/tex]

Therefore, a point on the circumference of the tire will travel 7.68 ft.

Answer:

10^-3

Step-by-step explanation:

so if you have 10^2/10^5, you would subtract the exponents since it is division.  2-5=-3

therefore, it would be 10^-2

Hope this helps!

Answer:

r = 11.4 cm

Step-by-step explanation:

The question says that, "Spray will make a circle with a diameter of 22.8 cm how long a radius will measure."

Given that,

The diameter of the circle, d = 22.8 cm

We know that the relation between the diameter and the circle is given by :

d = 2r

Where

r is the radius of the circle

r = d/2

r = 22.8/2

r = 11.4 cm

So, the radius of the circle is equal to 11.4 cm.

Answer:

Q1) 104m²

Q2) 121 in.²

Step-by-step explanation:

Q1)

GIVEN :-

TO FIND :-

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

SOLUTION :-

Area of the triangle = [tex]\frac{1}{2} \times 8 \times 6 = 24m^2[/tex]

Area of the rectangle = [tex]10 \times 8 = 80m^2[/tex]

Area of the figure = (Area of the triangle) + (Area of the rectangle)

                              = 24m²+ 80m²

                              = 104m²

Q2)

GIVEN :-

TO FIND :-

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

SOLUTION :-

Area of the triangle = [tex]\frac{1}{2} \times 3 \times 7 = \frac{21}{2} = 10.5 \; in.^2[/tex]

Area of the trapezium = [tex]\frac{1}{2} \times (6 +7) \times 17 = \frac{221}{2} = 110.5\; in^2[/tex]

Area of the figure = (Area of the triangle) + (Area of the trapezium)

                              = 10.5 in.² + 110.5 in.²

                              = 121 in.²

Answer:

The correct answer is 75 dgrees

Step-by-step explanation:

<CDE = arcCBE - arcCE / 2

arcCE = 105°

arcCBE = 360° - 105° =255°

<CDE = 255° - 105°

<CDE = 150 / 2

<CDE = 75°

Therefore the measure of < CDE is 75°

Answer:

= 2 1/4 feet

Step-by-step explanation:

Length of chain Jesse needs = 10 1/4 feet

Length of chain Jesse has:

Two small pieces each measuring 2 1/8 feet

= 2 × 2 1/8 feet

= 2 × 17/8

= 34/8 feet

Third piece measuring 3 3/4 feet

Total Length of chain Jesse has = 34/8 feet + 3 3/4 feet

= 34/8 + 15/4

= 34+30/8

= 64/8

= 8 feet

Total Length of chain Jesse has = 8 feet

Length of chain Jesse needs to purchase = Length of chain Jesse needs - Total Length of chain Jesse has

= 10 1/4 feet - 8 feet

= 2 1/4 feet

Length of chain Jesse needs to purchase = 2 1/4 feet

7.5cm2

5x3cm=15cm2 because of base x height/2 you would do

15cm2 divided by 2 since it is a triangle (a half of a square) which is 7.5cm2

Answer:

D.

Step-by-step explanation:

Area of a triangle is bh/2

So your base is 5 and your height is 3.

So you do 5*3 which is 15.

And lastly you do 15/2, which is 7.5. 7*2 is 14, and 8*2 is 16

So 7.5 times 2 is 15