Are all even numbers composite prove it

Answer:

14°

Step-by-step explanation:

Angle DCE is congruent to Angle GDF

To find the measure of Angle CDF, you need to find the measure of Angle DCE first.

360° = 76° + 90° + Angle DCE + 90°

360° = 256° + Angle DCE

Angle DCE = 104°

Then you subtract 90° from 104° (Angle DCE) to get the measure of Angle CDF

104° - 90° = 14°

Angle CDF = 14°

Answer:

C. 26 degrees

Step-by-step explanation:

Just did the review on Edg (2021)!!

Answer:

Simplified: -4u? + 5u^2 - 5u - 3

Step-by-step explanation:

Answer:

E

X + 11 i think that is the answer of this question

===============================================

Work Shown:

x = smaller integer

x+1 = larger integer

x and x+1 are consecutive integers since the larger follows right after the smaller

5*(smaller) - 3*(larger) = 51

5*(x) - 3*(x+1) = 51

5x - 3x - 3 = 51

2x - 3 = 51

2x = 51+3

2x = 54

x = 54/2

x = 27

x+1 = 27+1 = 28

The two consecutive integers are 27 and 28.

Let us consider two integers to be x and x+1:

x = smaller integer

x+1 = larger integer

Given: x and x+1 are consecutive integers.

[tex]5*(smaller) - 3*(larger) = 51\\\\5*(x) - 3*(x+1) = 51\\\\5x - 3x - 3 = 51\\\\2x - 3 = 51\\\\2x = 51+3\\\\2x = 54\\\\x = 54/2\\\\x = 27[/tex]

The value of x i.e. smaller integer comes out to be 27

Thus, x+1 = 27+1 = 28

Therefore, the two consecutive integers are 27 and 28.

Learn more:

brainly.com/question/17695139

Answer:

What is the question that you need help with?

Answer:

x < -12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

-6x > 72

Step 2: Solve for x

Here we see that any value x smaller than -12 would work as a solution to the inequality.

Answer:

x > 65/3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

[tex]f^{-1}=\frac{x-4}{3}[/tex]

Step-by-step explanation:

[tex]f(x)=3x+4[/tex]

Change f(x) to y

[tex]y=3x+4[/tex]

Switch the x and y

[tex]x=3y+4[/tex]

Solve for y

[tex]x-4=3y\\\frac{x-4}{3} =y[/tex]

Hope this helped!

(Please mark Brainliest)

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Discriminant = 16k² - 4(2)(-5k)

Since 16k² + 40k < 0, 2k² + 5k < 0, k(2k + 5) < 0.

Therefore -5/2 < k < 0.

Answer:

[tex]A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

[tex]\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

Therefore, we conclude that

[tex]A(BC)=(AB)C[/tex]

Step-by-step explanation:

Given that the associative law of matrix multiplication​

[tex]A(BC)=(AB)C[/tex]

Let

[tex]A=\begin{pmatrix}1&2\\ 3&4\end{pmatrix}[/tex]

[tex]B\:=\:\begin{pmatrix}1&0\\ 1&2\end{pmatrix}[/tex]

[tex]C=\begin{pmatrix}1&3\\ \:1&1\end{pmatrix}[/tex]

proving

A(BC)=(AB)C

Determining the L.H.S

[tex]A\left(BC\right)=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\:\left[\:\begin{pmatrix}1&0\\ \:\:\:1&2\end{pmatrix}\begin{pmatrix}1&3\\ \:\:\:\:1&1\end{pmatrix}\right]\:[/tex]

First determining BC

as multiplying the rows of the first matrix by the column of the second matrix

[tex]BC=\begin{pmatrix}1&0\\ \:1&2\end{pmatrix}\begin{pmatrix}1&3\\ \:1&1\end{pmatrix}=\begin{pmatrix}1\cdot \:\:1+0\cdot \:\:1&1\cdot \:\:3+0\cdot \:\:1\\ \:1\cdot \:\:1+2\cdot \:\:1&1\cdot \:\:3+2\cdot \:\:1\end{pmatrix}[/tex]

       [tex]=\begin{pmatrix}1&3\\ 3&5\end{pmatrix}[/tex]      

so the matrix equation becomes

[tex]A\left(BC\right)=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\begin{pmatrix}1&3\\ \:3&5\end{pmatrix}[/tex]

            [tex]=\begin{pmatrix}1\cdot \:1+2\cdot \:3&1\cdot \:3+2\cdot \:5\\ 3\cdot \:1+4\cdot \:3&3\cdot \:3+4\cdot \:5\end{pmatrix}[/tex]

            [tex]=\begin{pmatrix}7&13\\ 15&29\end{pmatrix}[/tex]

[tex]A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

Determining the R.H.S

[tex]\left(AB\right)C=\left[\begin{pmatrix}1&2\\ \:\:\:\:3&4\end{pmatrix}\:\begin{pmatrix}1&0\\ \:1&2\end{pmatrix}\right]\begin{pmatrix}1&3\\ \:\:\:\:\:1&1\end{pmatrix}\:[/tex]

First determining AB

as multiplying the rows of the first matrix by the column of the second matrix

[tex]AB=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\begin{pmatrix}1&0\\ \:\:1&2\end{pmatrix}=\begin{pmatrix}1\cdot \:\:1+2\cdot \:\:1&1\cdot \:\:0+2\cdot \:\:2\\ \:3\cdot \:\:1+4\cdot \:\:1&3\cdot \:\:0+4\cdot \:\:2\end{pmatrix}[/tex]

                                       [tex]=\begin{pmatrix}3&4\\ 7&8\end{pmatrix}[/tex]

so the matrix equation becomes

[tex]AB\left(C\right)=\begin{pmatrix}3&4\\ \:\:7&8\end{pmatrix}\begin{pmatrix}1&3\\ \:\:1&1\end{pmatrix}[/tex]

multiplying the rows of the first matrix by the column of the second matrix

            [tex]=\begin{pmatrix}3\cdot \:1+4\cdot \:1&3\cdot \:3+4\cdot \:1\\ 7\cdot \:1+8\cdot \:1&7\cdot \:3+8\cdot \:1\end{pmatrix}[/tex]

            [tex]=\begin{pmatrix}7&13\\ 15&29\end{pmatrix}[/tex]

Thus,

[tex]\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

as

[tex]A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

[tex]\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}[/tex]

Therefore, we conclude that

[tex]A(BC)=(AB)C[/tex]

Answer:

Step-by-step explanation:it cant be A or B because its not negative so it has to be C or D and its not D because its not in the 3s its in the ones still it did not evean have a 3.

so the best answer i whould have to say C

plz give brainlynis

Answer:

This is the correction of the other person who answered the answer is D

Step-by-step explanation:

Answer:

slope = 1/2

Step-by-step explanation:

Answer:

The slopes are perpendicular.

Step-by-step explanation:

First we are going to find the slope-inercept form from the equation, -5x + 10y = 5.

Solve for y.

-5x + 10y = 5

+5x. =+5x

10y = 5x + 5

[tex] \frac{10y}{10} = \frac{5x + 5}{10} \\ y = \frac{1}{2}x + \frac{1}{2} [/tex]

So we now have

[tex]y = \frac{1}{2}x + \frac{1}{2} \\ and \\ y = - 2x + 4 [/tex]

Looking at the equation above, the slopes are perpendicular.

Answer:

Step-by-step explanation:

we can have infinite similar triangles with different side lengths but if the  base length is same then two triangles on the opposite side of base.

On one side of base  only one triangle can be formed.

Answer:

Shannon has to make 41 trips to cycle a total of 50 kilometers.

Step-by-step explanation:

Given that

Shannon has cycled 9 kilometers this year

Let x be the number of trips that Shannon will make during the year

As she cycles 1km per trip, the total distance in trips will be: 1x

She has to cycle 50 kilometers in a year so the equation for this problem is:

[tex]9+x = 50[/tex]

Solving this equation will give us the number of trips she has to make

[tex]9+x = 50\\x = 50-9\\x = 41[/tex]

Hence,

Shannon has to make 41 trips to cycle a total of 50 kilometers.

Complete question :

The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 43 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

Answer:

0.61053

0.66314

0.26647

Step-by-step explanation:

Given that :

Mean (m) = 41.4 inches

Standard deviation (s) = 5.7 inches

a) What percentage of years will have an annual rainfall of less than 43 inches?

P(x < 43)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (43 - 41.4) / 5.7 = 0.2807017

p(Z < 0.2807) = 0.61053 ( Z probability calculator)

b) What percentage of years will have an annual rainfall of more than 39 inches? c)

P(x > 39)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (39 - 41.4) / 5.7 = −0.421052

p(Z > −0.421052) = 0.66314 ( Z probability calculator)

What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

P(x < 38)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (38 - 41.4) / 5.7 = −0.596491

p(Z < −0.596491) = 0.27545 ( Z probability calculator)

P(x < 42)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (42 - 41.4) / 5.7 = 0.1052631

p(Z < 0.1052631) = 0.54192 ( Z probability calculator)

0.54192 - 0.27545 = 0.26647

Answer:

Fiona earns $2/hour more than Philip.

Step-by-step explanation:

y = 12x shows a slope of 12. That slope is the hourly salary.

Philip earns $12/hour.

Fiona:

$42/(3 hours) = $14/hour

Fiona earns $14/hour

14 - 12 = 2

Fiona earns $2/hour more than Philip.

Answer:

(x+2)(2x-1)

Step-by-step explanation:

I used a little guess and check for this so bear with me :P

The final answer would always have to be two brackets with x and the relevant variables.

2x²: You know the possible factors that can be multiplied together would be 2x and x. Each factor would have to be in different brackets, so we get (x + smth else)(2x +smth else)

When factorising quadratic expressions, you need to find the correct pair of factors, that when multiplied together, becomes (-2). They also need to become 3x when they are multiplied with the term in the bracket (either x or 2x) and then added together.

Possible factors:

1. 1 × (-2) = (-2)

2. -1 × 2 = (-2)

Assume (x+1)(2x-2) = 2x² -2x +2x -2

                               = 2x² +0 - 2 (Wrong)

Assume (x-2)(2x+1) = 2x² +x -4x -2

                               = 2x² -3x -2 (Wrong)

Assume (x-1)(2x+2) = 2x² +2x -2x -2

                               = 2x² +0 - 2 (Wrong)

Assume (x+2)(2x-1) = 2x² -x +4x -2

                               = 2x² +3x -2 (Correct!)

Thus, (x+2)(2x-1) is the answer.

QUESTION:

Factorise 2x^2+3x-2

ANSWER:

[tex]\green{{(x + 2) × (2x - 1)}}[/tex]

STEP-BY-STEP EXPLANATION:

Write [tex]{3x}[/tex] as a diffrence

2x² + [tex]\red{{3x}}[/tex] - 2

2x² + [tex]\red{{4x - x}}[/tex] - 2

Factor out [tex]{2x}[/tex] from the expression

[tex]\red{{2x² + 4x}}[/tex] - x - 2

[tex]\red{{2x×(x + 2)}}[/tex] - x - 2

Factor out the negative sign from the expression

2x² + 4x - [tex]\red{{x - 2}}[/tex]

2x × (x + 2) - [tex]\red{{(x + 4)}}[/tex]

Factor out [tex]{x + 2}[/tex] from the expression

[tex]\red{{2x× (x + 2) - (x + 2}}[/tex]

[tex]\green{\boxed{(x + 2) × (2x - 1)}}[/tex]

hope it's helps

Answer:

x=3

x=8

Step-by-step explanation:

The "Zero Product Property" says:

If  (x−3)(x−8) = 0  then   (x−3) = 0   or   (x−8) = 0

Now we just solve each of those:

For (x−3) = 0 we get x = 3

For (x−8) = 0 we get x = 8

And the solutions are:

x = 3, or x = 8

Starting with the 0th term the first 4 terms, would be 0, 1, 2, 3

Replace x with each term number and solve:

The answers are: 2, 10, 50, 250

Answer:

4 to 2

Step-by-step explanation:

you said it

Answer:

x + 2

hope it helps you out

Answer:

B. c // d

Step-by-step explanation:

When ∠1 = ∠3, it means that they are corresponding angles and for that to be true, there must be a pair of parallel lines and one line to cut across both of the lines. Thus, we can conclude that c and d are the parallel lines and a is the line that cut across both of them, creating the corresponding angles.

Answer:

this is to hard and I like math

================================================

Work Shown:

x = some natural number

G = GCF(x,36)

L = LCM(x,36)

We can tie together the LCM and GCF like so

L = (x*36)/G

L = (x*36)/9

L = (36/9)*x

L = 4x

Whatever the value of x is, the LCM is 4 times larger.

Since we're told the LCM is 108, we can then say,

L = 108

4x = 108

x = 108/4

x = 27

--------------

Check:

GCF(x,36) = GCF(27,36) = 9, since 36 = 9*4 and 27 = 9*3, indicating that 9 is the largest shared factor

LCM(x,36) = LCM(27,36) = 108

LCM(x,36) = (x*36)/GCF = (x*36)/9 = (27*36)/9 = 972/9 = 108

This confirms we have the right answer.