write the equation y=x-4 in standard form (Ax + By = C)

[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:

the value of x=2 and the value of y=10

Answer:

x=3 and y=39

Step-by-step explanation:

2y + 3x = 87

y = 6x + 21

2(6x+21) + 3x = 87

12x + 42 + 3x = 87

15x + 42 = 87

15x = 45

x = 3

y = 6(3) + 21

y = 18 + 21

y = 39

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:

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:

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.

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:

(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)

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:y=2x-3

Step-by-step explanation:

Answer:

y= 2x-3

Step-by-step explanation:

Answer:

Answers are square root of 2, square root of 7,

Step-by-step explanation:

Irational is a number that is never ending.

Square root of 2 is irrational since there is no pattern to the number after the decimal.

10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is  not a irrational.

Sqrt of 7 does not have a pattern after the decimal point so it is irrational.

5.87 with a dash on top is rational since it means it has a pattern of continues 87's.

Last one it is equal to 2 so it is rattional.

Answer:

The square root of 2 is irrational, also 5.87 repeating,  the square root of 7 and the other two options aren't irrational.

Step-by-step explanation:

Irrational numbers definition: a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers

Hope I helped, have a nice day :)

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:

1/4

Step-by-step explanation:

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:

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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:

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:A. 32 F

Step-by-step explanation:

im correct if I'm rwong

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

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

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

Answer:

The answer is the third option

Step-by-step explanation:

(x + 1)(x + 2)

x(x + 2) + 1(x + 2)

x² + 2x + x + 2

x² + 3x + 2

Answer:

30

Step-by-step explanation:

Given the radical values;

√1000

= √100 * √10

= 10√10

= 10 (3.1623)

= 31.623

Converting to nearest 10,

= 30

Hence the value to the nearest 10 is 30

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:

Tree = 17.32 m

Step-by-step explanation:

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:=5/2

Step-by-step explanation:

Step-by-step explanation:

The slope of the line that is perpendicular to the line of AB is: 3.

If two lines are perpendicular to each other, their slopes will be the negative reciprocal of each other. i.e., if the slope of one is 3, the slope of the other would be -1/3.

Slope = change in y / change in x

Slope of AB = (-2 - 2) / (7 -(-5))

Slope of AB = -4/12

Slope of AB = -1/3

Negative reciprocal of -1/3 would be 3.

Therefore, the slope of the line that is perpendicular to the line of AB is: 3.

Learn more about slopes of perpendicular lines on:

https://brainly.com/question/1362601