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3 years ago

12x−5y=−20 y=x+4 x=x=x, equals y=y=y, equals

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

The solution is (0, 4)

Step-by-step explanation:

Please pay attention to the first two equations and drop the last two:

12x−5y=−20 y=x+4 x=x=x, equals y=y=y should ideally be:

12x−5y=−20

y=x+4

Let's find x. Substitute x + 4 for y in the first equation, obtaining:

12x - 5(x + 4) = -20

Carrying out the indicated multiplication, we get:

12x - 5x - 20 = -20, or 7x = 0

If x = 0 then y must be 0 + 4, or 4.

The solution is (0, 4)

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A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour. A blue cans is 6 inches tall and burns at a rate of 1/5

Mazyrski [523]

Answer:

It would take 4 hours for both candles to be the same height

Step-by-step explanation:

Total time (t) for red candle to be same height (h) can be expressed as;

Final height after time t=Initial height-rate per hour

where;

Final height after time=h

Initial height=8 inches

Rate per hour=rate×time=(7/10)×t=0.7t

Substituting;

h=8-0.7t

Total time (t) for blue candle to be same height (h1) can be expressed as;

Final height after time t=Initial height-rate per hour

where;

Final height after time=h1

Initial height=6 inches

Rate per hour=rate×time=(1/5)×t=0.2t

Substituting;

h1=6-0.2t

Since h=h1

8-0.7t=6-0.2t

8-6=0.7t-0.2t

0.5t=2

t=2/0.5

t=4 hours

It would take 4 hours for both candles to be the same height

6 0

4 years ago

Given u=(5,-2,3) and v=(1,1,2) find ordered triple that represents 3u-2v

kipiarov [429]

Answer:

(13, -8, 5)

Step-by-step explanation:

Given

$u = (5,-2,3)\\and\\v = (1,1,2)$

We have to find 3u-2v

So,

$3u = 3(5,-2,3)\\3u= (15,-6,9)\\\\And\\\\2v= 2(1,1,2)\\2v= (2,2,4)\\\\3u-2v = (15,-6,9) - (2,2,4)\\= (15-2, -6-2 , 9-4)\\= (13, -8, 5)$

The ordered triple that represents 3u-2v is:

(13, -8, 5) ..

7 0

3 years ago

I need help pleaseeeee this is due tomorrow

sveta [45]

Another way of finding Surface Area is

SA= 2LW+2LH+2HW

L= Length

W= Width

H= Height

the answer, and explained, would be this

2. SA= 2(12)(10)+2(12)(16)+2 (10)(16)

(multiply)

3. SA= 240 + 384 + 320

(add)

The answer is..

SA=944ft3

7 0

3 years ago

Whoever answers correctly can have brainliest but answer asap

Sergio [31]

Answer:

3 1/3

Step-by-step explanation:

Make the fractions into improper fractions:

2 1/2 = 5/2

1 1/3 = 4/3

5/2 × 4/3 =

5×4/2×3 =

20/6 =

10/3 =

3 1/3

4 0

2 years ago

Can someone help me solve (a) and (c) pls. Thanks

Alex777 [14]

Answer:

Area of ABCD = 959.93 units²

Step-by-step explanation:

a). By applying Sine rule in the ΔABD,

$\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}$

$\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}$

Sin∠DBA = $\frac{35\times \text{Sin}(110)}{46}$

m∠DBA = $\text{Sin}^{-1}(0.714983)$

m∠DBA = 45.64°

Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°

m∠ADB = 24.36°

c). Area of ABCD = Area of ΔABD + Area of ΔBCD

Area of ΔABD = AD×BD×Sin( $\frac{24.36}{2}$ )

= 35×46Sin(12.18)

= 339.68 units²

Area of ΔBCD = BD×BC×Sin( $\frac{59.92}{2}$ )°

= 46×27×(0.4994)

= 620.25 units²

Area of ABCD = 339.68 + 620.25

= 959.93 units²

8 0

4 years ago