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3 years ago

Determine the number of real solutions of the system y=x2 + 8 y= x + 15

Mathematics

1 answer:

Dmitry [639]3 years ago

5 0

Take y divide it by 6 and take 17 mutiply

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100 points

dusya [7]

A. This expression has 4 terms
B. The constants are -5, 3, 72 and 10
C. The third term is 72
D. The coefficient is y

3 0

2 years ago

the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer

Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v $i$ t + $\frac{1}{2}$ a $t^{2}$

d = distance v $i$ = initial velocity (m/s)

t = time (s) a = acceleration (m/ $s^{2}$ )

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/ $s^{2}$ since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + $\frac{1}{2}$ (9.81m/ $s^{2}$ )(t)

220.98m = (4.905m/ $s^{2}$ )(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0

2 years ago

Seven less than the product of 5 and a number is 2

slava [35]

5x-7=2

hope this makes sense

6 0

3 years ago

Read 2 more answers

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millil

alekssr [168]

Answer: The actual height of train = 4.896 meters.

Step-by-step explanation:

Since we have given that

Lina has a scale model of a modern train

Model is created at a scale is given by

1:48

Height of the model train = 102 millimeters

We need to find the actual height of the train.

Since there is direct variation between model and actual height of the train.

According to question,

$\frac{1}{48}=\frac{102}{x}\\\\x=102\times 48\\\\x=4896\ millimeters\\\\x=4.896\ m$

Hence, the actual height of train = 4.896 meters.

6 0

3 years ago

Find m∠U.<br> Write your answer as an integer or as a decimal rounded to the nearest tenth.

galina1969 [7]

Answer:

Answer:

50.2

Step-by-step explanation:

$ut = \sqrt{ {6}^{2} + {5}^{2} } \\ \sqrt{36 + 25} \\ \sqrt{61 } \\ using \: cosine \: rule \\ cos \: u = \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times \sqrt{61} } \\ \\ = \frac{25 + 61 - 36}{78} \\ \\ = \frac{50}{78 } \\ \cos \: u = 0.64 \\ m \:u = 50.2$

6 0

2 years ago