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Bess [88]
3 years ago
11

NEED ASAP

Mathematics
2 answers:
Gala2k [10]3 years ago
6 0

Answer:

(- 2, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is

( \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} )

Here (x₁, y₁ ) = A (4, 6 ) and (x₂, y₂ ) = B (- 8, 2 )

midpoint = ( \frac{4-8}{2} , \frac{6+2}{2} ) = ( \frac{-4}{2} , \frac{8}{2} ) = (- 2, 4 )

AVprozaik [17]3 years ago
5 0

Midpoint be p(x,y)

P(x,y)=

\\ \sf\longmapsto \left(\dfrac{4-8}{2},\dfrac{6+2}{2}\right)

\\ \sf\longmapsto \left(\dfrac{-4}{2},\dfrac{8}{2}\right)

\\ \sf\longmapsto (-2,4)

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Which graph can be used to find the solution to the system of equations below? 2x + y = -4 - 3y = 2x + 12 2 -4-3-2-1 -1 1 2 3 5
larisa86 [58]

Answer:

F

Step-by-step explanation:

2x+y = -4

put into slope-intercept form: y = -2x - 4

-3y = 2x+12

In slope-intercept form: y = -⅔x - 4

Both equations have a y-intercept of -4. There is only one graph where both lines pass through (0,-4).

7 0
3 years ago
At the grocery store, apples are one price and chocolate bars are another. mary buys three apples and one chocolate bar for $2.7
mafiozo [28]

Answer:

Step-by-step explanation:

Step 1 is to collect the information in a table format.  The attached Table1 summarizes what we know in columns 1 - 3. Columns 4 - 6 show the data we're about to calculate, so ignore them for the moment.

.I use A for the price of one apple and C for the price of 1 chocolate bar.  We know how many of each are purchased by both Mary and Bill, and the total each paid.  

The last column (6) shows the price for each, which comes from the derivation presented below.

We can set the information in columns 1 - 3 into equations:

Mary:  3A+1C = 2.70   [This states that Mary bought 3 apples at a price of A for each apple, and 1 chocolate bar at a price of C per bar.]

Bill:      1A + 4C = 6.40  [In the same fashion, this summarizes how Bill parted with his $6.40]

---

Now let's rearrange either equation to solve for C.  I'll use Mary's equation:

3A+1C = 2.70

1C = 2.70 - 3A

This tells us that the price of 1 chocolate bar is $2.70 minus the cost of 3 apples.  Interesting, but we need the price of a chocolate bar to determine an exact amount.

----

Now take Bill's equation and substitute the value we just derived for the price of a chocolate bar <u>C</u> = (2.70-3A).

1A + 4<u>C</u> = 6.40

1A + 4(2.70 - 3A) = 6.40

1A + 10.80 - 12A = 6.40

-11A = -4.40

A = 0.40    This is the price for 1 apple.  This is the value in the last column (6) of attached Table1.

---

Now we can use the value of $0.40 in either equation to find the price of a chocolate bar.  I'll use the rearranged equation we developed for Mary:

1C = 2.70 - 3A

1C = 2.70 - 3(0.40)   [A = 0.40 from the above work]

1C = 2.70 - 1.20

1C = 1.50

The price of 1 chocolate bar is $1.50.  Pricey, and bad for health.  But very tasty.

Columns 4 and 5 are the total costs for the apples and bars bought by each, and their sums add up to the amounts we were given at the start of the problem.  So our prices must be correct.

3 0
2 years ago
instead of recording the number 1.25cm of redius of a tube a student recorded 1.23cm find the percentage error correct to 1 deci
DaniilM [7]
This would be:-

2  * 100
--             =    1.6%
125
8 0
3 years ago
Clare wants to mail a package that weighs 4 1/2 ponds what could be its volume in liters
Sati [7]

Answer:

The volume in liters is 2.041165665 liter.

Step-by-step explanation:

Given : Clare wants to mail a package that weighs 4\frac{1}{2} pounds.

To find : What could be its volume in liters ?

Solution :

We know that,

Pound (lb) is a unit of Weight used in Standard system.

Liter (l) is a unit of Volume used in Metric system.

To convert 1 pound into liter is

1 pound (lb) = 0.45359237 liter (l)

4\frac{1}{2} pounds in simpler fraction is \frac{9}{2}

Converting into liter,

\frac{9}{2} pound (lb)=\frac{9}{2}\times 0.45359237 liter (l)

\frac{9}{2} pound (lb) = 2.041165665 liter (l).

Therefore, the volume in liters is 2.041165665 liter.

7 0
4 years ago
A cylindrical pressure has a height of 9 feet and diameter of 6 feet. How much gas can the pressure vessel hold when full?
AleksAgata [21]

Answer:

81π ft³

Step-by-step explanation:

If the diameter is 6 ft, the radius is 3 ft.  

The volume is V = (area of base)(height).

Here,                V = (π[3 ft]²)(9 ft) = 81π ft³

3 0
3 years ago
Read 2 more answers
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