Given: If CD = 1/2x − 3 units and GH = 5 − 3x units, what is the value of x?

Answers

Answer 1
X=16/7
Assume CD = GH
1/2x - 3 = 5 - 3x
Add 3x to both sides
7/2x-3=5
Add 3 to both sides
7/2x=8
Divide 7/2 on both sides
X=16/7

Related Questions

When does an equation involving rational expressions have straneous root

Answers

Answer:

Many mathematical operations are reversible, meaning you can go not just from A to B, but by the same reason go from B back to A.

Example x + 4 = 7. Subtract 4 from each side to get x = 7 - 4 = 3. But you could, if you wished, go from x = 3 to x + 4 = 7 by simply doing the opposite, adding 4.

Now consider an operation that is NOT reversible.

Example: Given sqrt(x) = x - 2. Square each side to get x = (x - 2)^2 =x^2 - 4x + 4, or

x^2 - 5x + 4 = 0. Factoring gives (x - 1) (x - 4) = 0. So, IF the original equation holds for a real number x, then the only possibilities are x = 1, x = 4.

If you plug x = 4 back into original equation, you get sqrt(4) = 4 - 2, which is true. But, if you plug in x = 1, you get sqrt(1) = 1 - 2, which is NOT true, as sqrt(1) = 1, not -1. The logic of the derivation was that, IF original equation were true, then x could possibly be only 1 and/or 4. In effect, it was really telling you what x is NOT, namely any number besides 1 and 4. Once you test the two “candidates” you see that one works and the other doesn’t.

Why does this happen? It has to do with the fact that square root is only a principal branch. Just as sqrt(16) is only 4 and not -4, so we are dealing with a limited possibility with which to start. Squaring glosses over this, and when you solve a quadratic equation, it generally gives two solutions (not nec. real). Because sqrt(x) started out to be nonnegative, that created the problem at end.

x + 3 + x - 8 + x = 55
x = ?

Answers

Answer:

x=30

Step-by-step explanation:

isolate the numbers that don't contain the variable, then divide the factors that don't contain the variable.

Answer:

x=20

Step-by-step explanation:

Given: x+3+x-8+x=55

Combine like terms: 3x-5=55

Add 5 to the other side: 3x=60

Divide both sides by 3: X=20

Please help! (will mark as brainliest)

Answers

I think the answer is Y=4+5/4x
Y=5/4x-5 (5/4 is the slope rise over run and the -5 is the y-intercept)

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

I think It would be B lest goooooooo

Answer: a. -3a^3 - 6a^2 + 7a - 13

Step-by-step explanation:

(-8a^2 + 7a - 9) - (3a^3 - 2a^2 + 4)

-3a^3 -6a^2 + 7a - 13

Use the remainder theorem to determine if x=6 is a zero of the following polynomial, and find the quotient and the remainder.
p(x)=x^4+4x^3-66x^2+45x-54

A. No, x=6 is not a zero of the polynomial.
The quotient is x^3-2x^2-54x+369, and the remainder is -2,268.

B. Yes, x=6 is a zero of the polynomial.
The quotient is x^3-2x^2-54x+369, and the remainder is 0.

C. Yes, x=6 is a zero of the polynomial.
The quotient is x^3+10x^2-6x+9, and the remainder is 0.

D. No, x=6 is not a zero of the polynomial.
The quotient is x^3+10x^2-6x+9, and the remainder is 0.​

Answers

I think your answer is C correct me if I’m wrong

I dunno how to do this

Answers

Answer:

2z-4

Step-by-step explanation:

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

Answer:

2 − 4 Is the correct answer

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Please help ASAP giving lots of points to the best and most helpful answer I don’t care if it’s just the answer I don’t need an explanation thanks

Answers

Answer:

Terms Are

8 , 16 , 32

5 , 10 ,  15 , 20

3 , 6 , 12

All of them are less than 50.

Step-by-step explanation:

the diagram shows a tile in the shape of a trapizium.
work out the area of the tile.
12,12,26

Answers

Step-by-step explanation:

(a+b)×h

_______

2

= (12 + 12 ) × 26

= (24) × 26

= 624 ÷2

= 312

what is the answer to (-15)− (2)x(-10+(+3)?

Answers

Answer:

-1

Step-by-step explanation:

-15-2(-7)

-15+2·7

-15+14

-1

what is 6 7/16 as an imporoper fraction

Answers

Answer:

answer is

frghhfgyyuu67.5

Please help with this ASAP

Answers

Answer:

[tex]\frac{2}{5}[/tex] and [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

We want to work backwards. Currently we have [tex]\frac{ }{ }[/tex][tex]\frac{?}{?}[/tex] ÷ 5 = [tex]\frac{2}{25}[/tex].

If we multiply both sides by 5, we get [tex]\frac{?}{?}[/tex] = [tex]\frac{2}{25}[/tex] × [tex]\frac{5}{1}[/tex].

We can use multiplication of fractions to solve this. To multiply fractions we multiply the two numerators together and multiply the two denominators together, giving an answer of [tex]\frac{?}{?}[/tex] = [tex]\frac{10}{25}[/tex].

This can be simplified to [tex]\frac{2}{5}[/tex].

We can use the same method on the other equation to get an answer of [tex]\frac{2}{7}[/tex].

**This content involves multiplying fractions and questions with the blanks not isolated, which you may wish to practice.

can someone please help me with this

Answers

Answer: 4?

Step-by-step explanation: 12 inches length times the 4 inches width = 48 square inches. but then you have to subtract the (22 times 2 = 44)

48-44=4???

I know the answer. It is 4. Division add and ya.

What is the point slope form for (-8,3) and m=5

Answers

Hello There!

y-y1=m(x-x1)

y-3=5(x+8)

y-3=5x+40

[tex]y=5x+43[/tex]

Hope this helps!

[tex]GraceRosalia[/tex]

Nevaeh has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $383.32.
She buys 4 bicycle reflectors for $9.09 each and a pair of bike gloves for $21.07.
She plans to spend some or all of the money she has left to buy new biking outfits for $39.75 each.

Write and solve an inequality which can be used to determine
x
x, the number of outfits Nevaeh can purchase while staying within her budget.

Answers

Answer:

22/3

Step-by-step explanation:

because it is

plz help. You have a recipe that calls for 5 parts (cups) of water for every 3 parts (cups) of flour. you use 15 cups of water. How much flour do you need?​

Answers

Answer:

b

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Need some help and fast

Answers

Answer:

highest 7/8, 0.5, -1/4, -1  1/5 lowest

Answer: i'm not certain but i think its -1 1/5 first then -1/4 next is 0.5 then 7/8

once again not certain but i think that's the answer

2/9 divided by 5/12

simplest form
the answer is a fraction

Answers

answer: 8/15 :
2/9 times 12/5 = 24/45
simplify that you get 8/15

The solution in form of fraction is,

⇒ 8 / 15

We have to given that,

An expression to solve,

⇒ 2/9 divided by 5/12

Now, We can divide the numbers into form of fraction as,

⇒ 2/9 ÷ 5/12

⇒ 2/9 × 12/5

⇒ 24 / 45

⇒ 8 / 15

Therefore, The solution in form of fraction is,

⇒ 8 / 15

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

What are the dimensions of A = [ 6 4 1 ]
5 -7 2

Answers

Answer: Choice A)  2 x 3

Explanation:

We have 2 rows and 3 columns, which directly leads to the answer 2 x 3

Always list the number of rows first, followed by the number of columns.

Answer:

Its 3x2

I swear I just took the test

Step-by-step explanation:

If MacCallum drives 325 miles in 5 hours, how far does he drive in 1 hour?

Answers

Answer:

65 miles in one hour

Step-by-step explanation:

MacCallum drove 325 miles in 5 hours so if you divide the amount of miles( 325) by the amount of hours to get to one, 5/5, you get 325/5=65/hour

(7, 4), (5, - 1), (3, - 8), (1, - 5), (3, 6)

Determine whether the relation is a function. Explain pls

Answers

Answer:

The given relation is not a function.

Step-by-step explanation:

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

Given the following relation: {(7, 4), (5, - 1), (3, - 8), (1, - 5), (3, 6)}

There is an input value (x = 3) that has two corresponding outputs (y-values): y = -8 and y = 6.  

Remember that a function can only take on one output for each input.

It also helps to do the Vertical Line Test, which allows us to know whether or not a graph is actually a function.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.  To use the vertical-line test, imagine dragging a ruler held vertically across the  graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.

Attached is a screenshot of the plotted points on a graph, where I performed the Vertical Line Test. The green line is the vertical line that contains two points that made the relation invalid as a function.

Please mark my answers as the Brainliest if you find my explanation helpful :)

A Baker's recipe uses for cups of water for every 9 cups of flour. Which ratio of cups of water to cups of flour will make the same recipe?

Answers

Answer:

It would be 4 to 9 or 4/9!

Step-by-step explanation:

What value of x would make the value of the expression 0? −10+11+x

Answers

Answer:

x=-1

Step-by-step explanation:

-10+11+x=0

-11         -11

-10+x=-11

+10         +10

x=-1

Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6

Answers

Answer:

C.

Step-by-step explanation:

hope this helps♡^.^^_^

Answer:

C

Step-by-step explanation:

-6 is more to the left of the number line than -3

Given any right triangle, the sum of the areas of the squares formed by the legs is equal to the area of the hypotenuse. This is referred to as the:

Question 5 options:

A) pythagorean theorem
B) perimeter
C) surface area
D) area

Answers

Answer: A) pythagorean theorem

Explanation:

You are probably familiar with the formula [tex]a^2+b^2 = c^2[/tex] which is the pythagorean theorem.

The [tex]a^2[/tex] is the square of the first leg 'a', while [tex]b^2[/tex] is the square of the second leg b. Adding those two squares leads to the square of the hypotenuse c, aka [tex]c^2[/tex]. This only works with right triangles, which are triangles that have a 90 degree angle.

refers to an endless number of terms that follows a sequence and end with ellipsis

Answers

Infinite sequence

I hope it helps

How do you write 0.27777777777777..... as a whole number

Answers

Answer:

i think 27777777777777/100000000000000

Step-by-step explanation:

Answer:

Convert it to a whole number

Step-by-step explanation:

by multiplying it with 1000000000000

=2.78 x 10 ^ -15

solve the quadratic by completing the square x^2-10+18=0

Answers

Answer:

Data set: 47, 45, 44, 41, 48

1. Find the mean.

Mean = 47 + 45 + 44 + 41 + 48

5

= 225

5

= 45

2. Find each absolute deviation.

Absolute deviations: 2, 0, 1, 4, 3

What is the mean absolute deviation (MAD) for the data set?

MAD =

Step-by-step explanation:because thats it because yea

given that (x-3)(Ax²+bx+c)=x³-7x-6,find the value of A,B and C​

Answers

Answer:

Given that (x-3) (Ax²+bx+c) = x³-7x-6, find the value of A, B and C

      

Given that (x-3) (Ax²+bx+c) = x³-7x-6, find the value of A, B and C

[tex]\left(\sqrt{2}+1\right)\left(5+\sqrt{2}\right)[/tex]

Answers

Solution:

[tex]( \sqrt{2} + 1)(5 + \sqrt{2}) \\ = \sqrt{2} (5 + \sqrt{2} ) + 1(5 + \sqrt{2} ) \\ = 5 \sqrt{2} + 2 + 5 + \sqrt{2} \\ = 7 + 6 \sqrt{2} [/tex]

Answer:

7 + 6√2

Answer:

[tex]\huge\boxed{\sf 7 + 6\sqrt{2}}[/tex]

Step-by-step explanation:

[tex](\sqrt{2} +1)(5+\sqrt{2} )\\\\= \sqrt{2} (5+\sqrt{2} )+1(5+\sqrt{2} )\\\\= 5\sqrt{2} + (\sqrt{2})^2+5+\sqrt{2} \\\\= 5\sqrt{2} + 2 + 5 + \sqrt{2} \\\\= 2+5+\sqrt{2} + 5\sqrt{2} \\\\= 7 + \sqrt{2} (1+5)\\\\= 7 + 6\sqrt{2} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

please help me im giving brainliest

Answers

b) infinite solution

x = a one solution
a = a infinite solution
a = b no solution
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