Simplify the following expression and then write down the coefficient of x²: x² + x² + x² + x²

Answer:

range 11

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 12 and the smallest number is 1

12 - 1 = 11

Answer:

The first fraction at the right of 1 is [tex]\frac{7}{6}[/tex] or [tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

Given

Marks of 6ths on a number line

Fraction 5/6 just before 1

Required

What fraction is at the right 1

To get the first fraction at the right of 1, we need to get the difference between each fraction;

This is calculated as follows;

[tex]Difference = 1 - \frac{5}{6}[/tex]

Take LCM

[tex]Difference = \frac{6 - 5}{6}[/tex]

[tex]Difference = \frac{1}{6}[/tex]

This implies that the difference between each mark is [tex]\frac{1}{6}[/tex].

To get the first mark at the right of 1;

We simply add the difference to 1;

This implies that;

[tex]Mark = 1 + \frac{1}{6}[/tex]

Take LCM

[tex]Mark = \frac{6 + 1}{6}[/tex]

[tex]Mark = \frac{7}{6}[/tex]

Convert to mixed fraction

[tex]Mark = 1\frac{1}{6}[/tex]

Hence, the first fraction at the right of 1 is [tex]\frac{7}{6}[/tex] or [tex]1\frac{1}{6}[/tex]

Answer:

Top right

Step-by-step explanation:

The solution to a system of equation is where the two graphs cross

The top right lines cross at (5,-3)

Answer:

618

Step-by-step explanation:

l x w

34x5

14x27

5x14

618

Answer:

The Transformations are R(O , -90°) & R(O , 270)

Step-by-step explanation:

* Lets revise the rotation of a point

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

 (270° anti-clockwise or -90°)

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise (-180°) or  

anti-clockwise (180°) around the origin

* Lets solve the problem

∵ One vertex of a triangle is located at (0, 5) on a coordinate grid

∵ The image of the point after the transformation is (5 , 0)

- The coordinates are switched with each other

∴ There is no rotation with 180° or -180° because in the rotation with

 180° and -180° around the origin we change only the signs of the

 coordinates without switch them

∴ There is a rotation with 90° are 270° or -90°

- The zero has no sign

- When we rotate the point (0 , 5) by -90° or 270° around the origin

 we will change the sign of x-coordinate and switch the two

 coordinates

∴ The image of the point is (y , -x)

∵ x = 0 and y = 5

- There is no sign for zero, so we switch the coordinates only

∴ The vertex is located at (5, 0)

∴ The Transformations are R(O , -90°) & R(O , 270)

Answer:

R(O , -90°) & R(O , 270)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Let's call the number of pairs of socks he buys s.

[tex]12.50+2.50s=27.50[/tex]

Subtract 12.50 from both sides:

[tex]2.50s=15[/tex]

Divide both sides by 2.5 to isolate s:

[tex]s=6[/tex]

Hope this helps!

Answer:

Yes, [tex]\frac{3}{4}[/tex] is a solution of the inequality.

Step-by-step explanation:

Solution of an inequality is given by the values of the variable t ≥ [tex]\frac{2}{3}[/tex]

Or t ≥ 0.67

If a solution of this inequality is t = [tex]\frac{3}{4}[/tex]

Or t = 0.75

Since, on a number line 0.75 > 0.67

Therefore, [tex]\frac{3}{4}[/tex] will be a solution of the inequality.

Answer:

7

Step-by-step explanation:

I think because at if you divide 45 by 6 because its 45 minutes from 4:15 to 5:00 and it grows 6 inches longer every five min

Answer:

True

True

Step-by-step explanation:

The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.

The given statement is True

The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where  outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.

Learn more about distribution here: https://brainly.com/question/24520301

Answer:

The answer is 0

Step-by-step explanation:

[tex]a^{2} {c}^{2} - {a}^{2} {d}^{2} - {b}^{2} {c}^{2} + {b}^{2} {d}^{2} + 4abc[/tex]

Answer:

y=2x-4

Step-by-step explanation:

Answer:

  the sum of the prices divided by 7

Step-by-step explanation:

The mean is the sum of the elements of a set, divided by the number of elements in the set. This set has 7 members, so its mean is ...

  the sum of the prices divided by 7

Answer:

C

Step-by-step explanation:

It's of the shape of a cone

Answer:

Step-by-step explanation:

_______________________________

Hey!!

Solution,

X+61+42=180[ sum of angle in triangle]

or,X+103=180

or,X=180-103

X=77°

So the value of X is 77°

Hope it helps..

Good luck on your assignment

____________________________

Answer:

A and F

Step-by-step explanation:

First we'll dilate it by a scale factor of 2. After that, we'll translate in 6 units left and 6 units up to map circle J onto circle K

Answer:

9

Step-by-step explanation:

x^2 + 6x + c

Take the coefficient of x

6

Divide by 2

6/2 = 3

Square it

3^2 = 9

That is the value of c required

Answer:

C. 9

Step-by-step explanation:

c = 9

x² + 6x + 9

= (x+3)(x+3)

= (x + 3)²

it is a perfect square trinomial when c is equal to 9

Answer:

Step-by-step explanation:

Given: DE║BC

To prove: [tex]\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}[/tex]

                Statements                           Reasons

1). DE║BC                                   1). Given

2). ∠1 ≅ ∠4, ∠3 ≅ ∠4                2). Corresponding angles theorem

3). ΔADE ~ ΔABC                      3). AA Similarity theorem

4). [tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}[/tex]                                4). Corresponding sides are proportional

5). [tex]\frac{\text{AD+DB}}{\text{AD}}=\frac{\text{AE+EC}}{AE}[/tex]                   5). Segment addition postulate

6). [tex]1+\frac{\text{DB}}{\text{AD}}=1+\frac{\text{EC}}{\text{AE}}[/tex]                   6). [tex]\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}[/tex]

7). [tex]\frac{\text{DB}}{\text{AD}}=\frac{\text{EC}}{\text{AE}}[/tex]                                7). Subtract 1 from both sides

8). [tex]\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}[/tex]                               8). Take the reciprocal of both sides

Answer:

y=2.4

Step-by-step explanation:

7y-2=2y+10

7y-2y=10+2

5y=12

y=12/5=2.4

Answer:

(0,2)

Step-by-step explanation:

2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB

Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0

Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2

The point is (0,2)

Answer:

-3 =n

Step-by-step explanation:

11(n – 1) + 35 = 3n

Distribute

11n -11 +35 = 3n

Combine like terms

11n +24 = 3n

Subtract 11n from each side

11n +24 -11n = 3n -11n

24 = -8n

Divide each side by -8

24/-8 = -8n/-8

-3 =n

Answer: n=-3

Step-by-step explanation:

11n-11+35=3n

24=-8n

n=-3

Answer:

[tex] \sqrt{17}\: units [/tex]

Step-by-step explanation:

[tex]d = \sqrt{ {(2 - 1)}^{2} + {(3 - 7)}^{2} } \\ \\ = \sqrt{ {(1)}^{2} + {( - 4)}^{2} } \\ \\ = \sqrt{ 1 + 16 } \\ \\ d= \sqrt{17} \\ [/tex]

Answer:

d=√17≈4.12310562561766

Step-by-step explanation:

Answer:

y=-5/2x-1

Step-by-step explanation:

first find the gradient whereas since the two lines are parallel they hav the same gradient. y=mx+c whereas m is the gradient. 5x+2y=12

2y=-5x+12

y=-5/2x+12(so the gradient is -5/2x..... gradient=-5/2

y-4=-5/2

x+2

y-4=-5/2(x+2)

y-4=-5/2x-5

y=-5/2x-5+4

y=-5/2x-1

The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = -5/2 x - 1.

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given that the equation of the line is,

5x + 2y = 12

2y = -5x + 12

y = -5/2 x + 6

This is in the slope intercept form, where the slope = -5/2.

Slopes of two parallel lines are equal.

So any line parallel to the given line will be of the form y = -5/2 x + c

Given line passes through (-2, 4).

Substituting (-2, 4) in y = -5/2 x + c, we get,

(-5/2) (-2) + c = 4

c = -1

So the equation is, y = -5/2 x - 1

Hence the required equation is y = -5/2 x - 1.

Learn more about Slope Intercept form here :

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Answer:

what are the answers fir this question

Answer:

Answer options are:

a. All integers are natural numbers.

b. All rational numbers are integers.

c. All natural numbers are whole numbers.

d. All rational numbers are natural numbers.

Step-by-step explanation:

Answer is C

Answer:

x = 11

Step-by-step explanation:

You are solving for the solution of the variable given (x). Set each parenthesis equal to 0 and simplify:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 11 to both sides:

x - 11 = 0

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

x = 0 + 11

x = 11

Do the same for the other set:

x - 11 = 0

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

x = 0 + 11

x = 11

~

Answer: 41

Step-by-step explanation:

a^2 + b^2 = c^2

40^2 + 9^2 = c^2

c = √1681 = 41

Answer:

D: 41

Step-by-step explanation:

Using Pythagorean Theorem

c² = a² + b²

Where c is hypotenuse, x

a is the base, 9

b is the perpendicular, 40

Putting in the formula

x² = (40)²+(9)²

x² = 1600 + 81

x² = 1681

Taking square root on both sides

x = 41

Answer:

37 years difference.

Step-by-step explanation:

K = Kissi

k = Age of Kissi

E = Esinam

e = Age of Esinam

L = Lariba

l = Age of Lariba

k + e + l = 147

K : E

3 : 5 → (×3) → 12 : 15

E : L

3 : 5 → (×5) → 15 : 25

K : E : L

12 : 15 : 25

12 + 15 + 25 = 52

147/52 = 2.8269...

K is the young since out of the three part ratio, 12 is the smallest and likewise, L is the oldest.

k = 12 × 2.8269... = 33.923... → 34 y/o

e = 15 × 2.8269... = 42.40... → 42 y/o

l = 25 × 2.8269... = 70.673... → 71 y/o

∴ The difference between the youngest and oldest is:

71 - 34 = 37

Answer:

B.

Step-by-step explanation:

Using the formula

S = r∅

Where s is Arc length,l

R is radius

∅ is radian measure for angle RAD

Substituting

L = R∅

So

∅ = L/R

Answer:

1130

Step-by-step explanation:

since radius of the circle was given and the formula of the area is pie r square