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3 years ago

What is the midpoint between 10,-3 and -4,-9

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

Answer:

(3,3)

Step-by-step explanation:

Use the midpoint formula to find your answer. The formula is $(x_{1} +x_{2} /2; y_{1} +y_{2} /2)$ .

If that equation looks funny then let me explain. You need to add 10 and -4 together, then divide it by 2. You also need to add -3 and -9, then divide that by 2.

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Air containing 0.04% carbon dioxide is pumped into a room whose volume is 6000 ft3. The air is pumped in at a rate of 2000 ft3/m

borishaifa [10]

Answer:

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

Step-by-step explanation:

Air containing 0.04% carbon dioxide

V, volume of room is 6000 ft3.

Q, rate of air 2000 ft3/min,

initial concentration of 0.4% carbon dioxide,

determine the subsequent amount in the room at any time.

What is the concentration at 10 minutes?

firstly, we find the time taken for air to completely filled the room

Q = V/t

t = V/Q = 6000/2000 = 3min

so, its take 3mins for air to be completely filled in the room and for exhaust air to move out.

there is an initial concentration of 0.4% carbon dioxide, and the air pump in is 0.04%.

therefore,

3mins = 0.04% of CO2

3*60 =180sec = 0.04%

1sec = 0.04/180 = 0.00022%/sec

so at any time the concentration of CO2 is 0.4 + 0.00022 =0.40022%/sec

What is the concentration at 10 minute

the concentration at 10minutes = the concentration for 1minute because at every minutes, the concentration moves in is moves out. = concentration for 2000ft3.

for 0.04% = 6000ft3

? = 2000ft3

= 2000* 0.04)/6000 =0.0133%

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

4 0

3 years ago

A quilt is made of 12 squares of equal size. Each square measures 15 cm by 15 cm.

kolezko [41]

Answer: 12 x 15= 180 cuadrados

juas juas juas 180 + 180 = 360

15 x 15 cm = 360

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

In the diagram, the length of segment VS is 39 units.

Darina [25.2K]

Answer:

$TV=38\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The figure shows a kite

The kite has two pairs of consecutive and congruent sides and the diagonals are perpendicular

That means

TS=VS

TQ=VQ

TR=RV

we have

$VS=39\ units$

$TS=6x-3$

$6x-3=39$

solve for x

$6x=39+3\\6x=42\\x=7$

Find the value of RV

$RV=2x+5$

substitute the value of x

$RV=2(7)+5=19\ units$

Remember that

$TV=TR+RV$ ---> by segment addition postulate

we have

$TR=RV=19\ units$

$TV=19+19=38\ units$

5 0

3 years ago

Can someone please help me with these ?

Pavel [41]

Answer:

Step-by-step explanation:

11) $\sqrt{8x+33} =3\\8x+33=9\\8x=-24\\x=-3$

Subtract 4 from both sides. Square each side. Subtract 33 from both sides. Divide each side by 8. Your answer is -3.

12) $7x-17=x^2-2x+1\\0=x^2-9x+18\\0=(x-6)(x-3)\\x=6, x=3$

Square both sides. Put all numbers on one side of the equation so that you can be equal to zero. Factor out and solve for x.

7 0

2 years ago

Answer to [4x 42]=[24 6y] matrices

sergij07 [2.7K]

The x and y values in the given matrices are 6 and 7 respectively.

Step-by-step explanation:

Step 1; Both the given matrices are of the order 1 × 2. So to solve the values of x and y is just a matter of substitution. We substitute the values which correspond with each other i.e we substitute the values of $a_{11}$ which is the element at row 1 column 1 of both matrices. Similarly, the values of $a_{12}$ in both matrices are substituted with each other.

Step 2; The value of $a_{11}$ of the first matrix is 4x and the corresponding value in the second matrix is 24. So 4x will be equal to 24. Similarly, the value of $a_{12}$ in the second matrix is 6y and its corresponding value in the first matrix is 42. So 6y will equal 42.

4x = 24, x = $\frac{24}{4}$ , x = 6

6y = 42, y = $\frac{42}{6}$ , y = 7

4 0

3 years ago