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Softa [21]
3 years ago
5

Write the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2 in simplest form. Then, answer the following questions using complete

sentences. How many terms are in the simplified expression? How many of the terms in the simplified expression are negative?
Mathematics
1 answer:
kogti [31]3 years ago
6 0
The way to write in the simplest form is to add all like terms.

-3x^2 + 2y^2 + 5xy - 2y + 5x^2 - 3y^2
2x^2 + 2y^2 + 5xy - 2y - 3y^2
2x^2 - y^2 + 5xy - 2y

There is 4 terms in the simplified expression.
Out of those 4 terms, 2 terms are negative.
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Mateo is constructing an equilateral triangle inscribed in a circle with center P. He draws the diameter of the circle through c
GenaCL600 [577]
Reading the question carefully, "<span>He draws the diameter of the circle through center P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle." - that implies that Mateo is still in the process of drawing the circle by which the equilateral is inscribed to.

The next steps should be:
*He should draw the upper and lower arcs using the compass opened to a width equivalent to the radius of the sircle.
*Make a vertical diameter using centroid P as basis.
*Draw two right triangles facing the opposite directions using the top most point by which the vertical diameter of the circle touches the top most circumference of the circle.

Doing these steps, Mateo will be able to draw an equilateral triangle inscribed in a circle.
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7 0
3 years ago
Help me please please​
Vera_Pavlovna [14]

Answer:

  3.88 nm

Step-by-step explanation:

The angle at Port Latta between the actual direction of travel and the destination at Lookout Point is 90° -75° = 15°. The sine function relates the angle, the side opposite, and the hypotenuse of a right triangle, so you have ...

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Solving for the desired distance, we have ...

  distance to Lookout Point = (15 nm)sin(15°) = 3.88 nm

The yacht is 3.88 nautical miles from Lookout Point.

3 0
3 years ago
Determine the distance between the following two points. (round to the nearest hundredths)
padilas [110]

Answer:

d=7.07

Step-by-step explanation:

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>:

d=\sqrt{(3-(-2))^2+(-4-1)^2}

d=\sqrt{(3+2)^2+(-5)^2}

d=\sqrt{(5)^2+25}

d=\sqrt{25+25}

d=\sqrt{50}

d=5\sqrt{2}

d=7.07

5 0
2 years ago
Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green
IrinaVladis [17]

Answer: 1. D) 30

2. A) 8

3. B) 4/15

4. A)  2/9

5.D) 64%

Step-by-step explanation:    

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore,  If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = \frac{8_C_1}{30_C_1}

P(G) =  \frac{8}{30} = \frac{4}{15}

4. Here, Number of red socks= 5

Number of white socks = 2 and Number of  blue socks=3

Therefore total socks = 10

⇒ Probability of picking a pair of red socks,

P(R)= \frac{5_C_2}{10_C_2} = \frac{10}{45}

⇒ P(R)= 2/9

5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%


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3 years ago
A car purchased for $15,000 depreciates under a straight-line method in the
OlgaM077 [116]

Answer:

i can't send full page of it sorry

4 0
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