solve for all values of x by factoring

Answer:

q is 4

Step-by-step explanation:

[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]

let gradient of the line joining (4, q) to (6, 5) be x

let gradient of the line joining (0, 0) to (4, q) be y

[tex]y = 2x[/tex]

therefore:

[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]

collect like terms:

[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]

Let,

As we know,

then,

→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]

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

      [tex]\frac{q}{4} = 5-q[/tex]

By applying cross-multiplication, we get

      [tex]q = 4(5-q)[/tex]

      [tex]q = 20-4q[/tex]

By adding "4q" both sides, we get

[tex]q+4q= 20-4q+4q[/tex]

     [tex]5q = 20[/tex]

       [tex]q = \frac{20}{5}[/tex]

       [tex]q = 4[/tex]

Thus the above value is correct.

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Answer:

AC = 4

Step-by-step explanation:

For AD to be an angle bisector then it divides the opposite side into segments that are proportional to the other two sides, that is

[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BD}{DC}[/tex] , substitute values

[tex]\frac{2}{AC}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

AC = 4

Step-by-step explanation:

the formula of coordinates (x, y) that reflected across the x-axis : (x, y) => (x, -y)

so,

A(3, -2) => A'(3, 2)

B(5, 5) => B'(5, -5)

C(-4, 2) => C'(-4, -2)

Coordinates of ∆ABC

Now co-ordibates of ∆A'B'C'

[tex]\\ \rm\longmapsto A'=(3,2)[/tex]

[tex]\\ \rm\longmapsto B'=(5,-5)[/tex]

[tex]\\ \rm\longmapsto C'=(-4,-2)[/tex]

Hi :)

-3(3a + 2) + 3

-9a -6 + 3

-9a -3

Answer:

5/2

Step-by-step explanation:

Answer:

3

Brainliest, please!

Step-by-step explanation:

(1, -2)(3, 4)

y: +6

x: +2

y/x = 6/2 = 3

Answer:b

Step-by-step explanation:

Answer:x 2/3

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

18 plus 13 is 41 29 subtracted from 41 is -12

Answer:

- $2

Step-by-step explanation:

Alex withdrew money twice, or he subtracted those amounts from the total that he had.

In this case, he withdrew $13 first, and then $18, or:

13 + 18 = 31

$31 dollars in all.

Alex had $29. Subtract the total that he withdrew from the amount he had:

29 - 31 = -2

Alex has - $2, or he owes the bank $2 with interest.

~

Answer:

1 1/2

Step-by-step explanation:

9/10 ÷ 3/5

Copy dot flip

9/10 * 5/3

Rewriting

9/3 * 5/10

3 * 1/2

3/2

1 1/2

Answer:

3/2

Step-by-step explanation:

9/10 ÷ 3/5

~Use copy dot flip

9/10 * 5/3

~Multiply

45/30

~Simplify

3/2

Best of Luck!

Answer: 12 and -12

Step-by-step explanation:

Absolute value is the distance to zero (0)

Equation 1:

|(12) - 2| = 10

= 12-2

=10

Equation 2:

|(-12) - 2| = 10

= 12 - 2

= 10

Answer:

16

Step-by-step explanation:

64 ÷ 4 = 16

Answer:

If a equals 3 then the answer should be 3b

Step-by-step explanation:

Answer:

a+b=a

or,3+b=3(a=3)

or,b=3-3

or,b=0

b=0 Ans

Number combination can be used to find the number of selecting n  items from m items

The known parameters are;

Number of days the six friends play a game of tennis = Every day = 7 days

Number of weeks the six friends the friends play for = 7 weeks

Therefore the total number of days = 7 × 7 days = 49 days

Required:

(a) The number of ways the friends can play with each other once is given as follows;

[tex]The \ number \ of \ 2 \ combinations \ in \ 6 \ options, C_6^2 = \dfrac{6!}{2!\times (6-2)!} = 15[/tex]

The number of ways the six friends can play with each other once is 15 ways

Therefore, minimum number of singles games that will be between the same friends playing each other is given as follows;

[tex]\mathbf{Number \ of \ games = \dfrac{7 \times 7}{C_6^2} }=3.2\overline 6[/tex]

Therefore, more than 3 of the games or four games will be between pairs playing the game more than four times together, and when at least four of the games of singles are counted it will be between friends playing each other for the fourth time

(b) The number of ways the friends can play game of doubles is given as follows;

[tex]C_6^4 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]

The number of pairs = ₆C₂ = 15

The number of games of doubles = 49

In 49 games, we have;

The number of times the same opposing  will play a game of doubles where a member of the pair can be on either side of the court will given as follows;

[tex]\mathbf{Number \ of \ games \ of \ doubles \ between \ same \ pair} = \dfrac{7 \times 7}{15 } =3.2\overline 6[/tex]

Therefore, at least four of the of the games of doubles will be between the same set of four friends playing for the 4th time, which gives; at least four games of doubles between the same set of four friends, two of which are playing (as a pair) the same opposing pair for the 4/2 = second time

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Answer:

a) The sum of numbers p and 4 is 15.

Step-by-step explanation:

I'm not sure but hope it helps.

Answer:

just a random Teenage who's been through the same thing

Step-by-step explanation:

if you really care about what your mom think I'd suggest changing some thing's about you . maybe study more or something . if you don't usually try then go ahead try harder.

but if youre doing everything right but your cousin just seem to be better then you can't do much but try to explain to her that you're trying your best

stay safe and don't do anything you'd regret

Your question is not educational, but I'll be happy to give you some advice.

From a person who has dealt with a parent comparing me to others, I completely understand how you feel. Parents do sometimes get mad at their children for misbehaving but it not acceptable whatsoever to bring them down like that. I hope you understand that no one but YOU is allowed to dictate your worth. If you can, I suggest bringing this matter up with your mother and tell her how her remarks make you feel. If you cannot do that, I suggest speaking with a school counselor, friend, relative, or teacher about this. Sometimes expressing your feelings with others is the best medicine.

Have a great day!

a multiplicative factor in some term of

Answer:

perhaps because math is a subject that builds on itself. so if you miss or dont know one key formula then it is difficult to understand the others.

math is also a subject that has many different ways to solve one thing

Answer:

have a great day

god bless you

Answer:

7/12

Explanation:

Here are the steps to follow:

Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Answer:

7/12

Step-by-step explanation:

[tex] \frac{1}{3} + \frac{1}{2} = \frac{2 + 3}{6} = \frac{5}{6} - \frac{1}{4} = \frac{20 - 6}{24} = \frac{7}{12} [/tex]

Answer:

99 + x = 4x

99 = 3x

x =33

.....

Answer:

1/2 and 9 is rational but 4 is not

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

Hope this helps <3 Wanna get ranked faster? Comment "rankup"

Answer:

Line A

Step-by-step explanation:

Answer:

$13.10

Step-by-step explanation:

Concard    $3.00  2.1    $6.30

Osband    $3.00  

Green Anjou  $4.00  

Bartlett          $2.00  3.4     $6.80

Red Anjou  $5.00  

                TOTAL =      $13.10

Answer:

3^10

Step-by-step explanation:

(3²)⁵

We know that a^b^c = a^(b*c)

(3²)⁵ = 3^(2*5)

= 3^10

Answer:

59,049

Step-by-step explanation:

(3^2)^5

~Use power rule

3^10

~Simplify

59,049

Best of Luck!

If x = 3.5414141…, then 10x = 35.414141… and 1000x = 3541.414141…. Then

1000x - 10x = 3541.414141… - 35.414141…

990x = 3506

x = 3506/990 = 1753/495

Answer:

12

Step-by-step explanation:

40/24 = 20/x

40x = 20 × 24

40x = 480

x = 480/40

x = 12

Answer:

$5028.4

Step-by-step explanation:

The expression for that investment will be 2500*(1.15)^t where t is in years, the value of the investment will be 2500*(1.15)^5=5028.4