If DE = 4x - 1, EF = 9, and DF = 9x - 22, find the value of x.

DIA [1.3K]

The answer is B, the x-axis crosses over to -8 the way the line goes also means it is a negative. I don't know for sure because i haven't done this in a while but I hope it helps.

3 0

3 years ago

Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin

notka56 [123]

Answer:

$\huge{\boxed{\sf{ ( 3 , 3 ) }}}$

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) $\longrightarrow$ ( x1 , y1 )

B ( x , y ) $\longrightarrow$ ( x2 , y2 )

Now,

Midpoint = $(\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

⇒ $( -2 , 2 ) = ( \frac{-7 + x}{2} , \frac{1 + y}{2} )$

Finding the value of x :

⇒ $-2 = \frac{-7 + x}{2}$

Do cross multiplication

⇒ $-4 = -7 + x$

⇒ $-7 + x = -4$

⇒ $x = -4 + 7$

⇒ $x = 3$

Now, finding the value of y

⇒ $2 = \frac{1+y}{2}$

Do cross multiplication

⇒ $4 = 1+y$

⇒ $1+y = 4$

⇒ $y = 4 - 1$

⇒ $y = 3$

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~ $\text{ TheAnimeGirl}$

4 0

3 years ago

A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is

Katen [24]

Answer:

$\frac{7}{9}$ OR 77.78%

Step-by-step explanation:

So, we first need to find out how many numbers fit the "less than 29 or odd" group.

This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.

Next, we figure out the total amount of numbers in the population.

This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.

Finally, we put the first number (7) over the total (9) = $\frac{7}{9}$

$\frac{7}{9}$ is now able to be written in a percentage, if you need.

The probability is $\frac{7}{9}$ OR 77.78%

5 0

3 years ago

A carpenter bought 750 nails. Each nail has a mass of 5.2×10−3 kilogram. What is the total mass, in kilograms, of the nails the

lawyer [7]

The total mass, in kilograms, of the nails the carpenter bought is 3.9 kilogram

<h3><u>Solution:</u></h3>

Given that carpenter bought 750 nails

Each nail has a mass of $5.2 \times 10^{-3}$ kilogram

To find: total mass, in kilograms of the nails bought

The total mass of the nails bought can be found out by multiplying number of nails bought by mass of each nail

Number of nails bought = 750

Mass of each nail = $5.2 \times 10^{-3}$ kilogram

total mass of the nails bought = number of nails bought x mass of each nail

$\text {total mass of the nails bought }=750 \times 5.2 \times 10^{-3}$

$\text {total mass of the nails bought }=3900 \times 10^{-3}=\frac{3900}{1000}=3.9$

Thus the total mass of nails bought is 3.9 kilogram

4 0

3 years ago

THIS QUESTION IS WORTH 33 POINTS!! PLEASE PLEASE HELP ME

3241004551 [841]

It's less than a whole number like 2/1 times 1/2 is 2/2 or 1

6 0

3 years ago

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