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Dimas [21]
2 years ago
10

Which of the following appear in the diagram below? Check all that apply. A. vec CE B. angle DCE OC . overline AB OD. angle CDE

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
7 0

Answer:

OPTION A

OPTION B

OPTION C

Step-by-step explanation:

By definition a "Ray" is a part of a line that has one endpoint (or point of origin) and continues in one direction forever.  Knowing this, you can analize the diagram provided:

- You can observe in the given diagram that there are three rays. These are:

AB, CD and CE

- You can notice that an angle is formed by two rays ( Ray CD and ray CE) with the same endpoint (Point C).

Therefore, the angle formed is:

\angle DCE

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A 16-inch candle is lit and burns at a constant rate of 0.8 inches per hour. Let t represent the number of hours since the candl
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Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

a.

The initial length of the candle is 16 inch. It also given that, it burns with a constant rate of 0.8 inch per hour.

After one hour since the candle was lit, the length of the candle will be (16 - 0.8) = 15.2 inch.

After two hour since the candle was lit, the length of the candle will be (15.2 - 0.8) = 14.4 inch. The length of the candle after two hours can also be represented by {16 - 2(0.8)}.

Hence, the length of the candle after t hours when it was lit can be represented by the function, f(t) = 16 - 0.8t. f(t) = 0 at t = 20.

b.

The domain of the function is 0 to 20.

c.

The range is 0 to 16.

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2 years ago
You work at a fruit market. Bananas cost 50¢ a pound. A customer hands you a bunch of bananas that weighs 3 pounds. How much sho
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3 pounds of bananas cost $1.50
5 0
2 years ago
Read 2 more answers
Coordinates, gradient and tangent work (see image).
Ivenika [448]

Answer:

a) P(x,2x^2-5),\ Q(x+h,2(x+h)^2-5)

b) 4x+2h

c) 4x

Step-by-step explanation:

Given the curve

y=2x^2-5

a) If the x-coordinate of P is x, then the y-coordinate is 2x^2-5, so point P has coordinates (x,2x^2-5)

If the x-coordinate of Q is x+h, then the y-coordinate is 2(x+h)^2-5 so point Q has coordinates (x+h,2(x+h)^2-5)

b) The gradient of the secant RQ is

\dfrac{y_Q-y_P}{x_Q-x_P}\\ \\=\dfrac{(2(x+h)^2-5)-(2x^2-5)}{(x+h)-x}\\ \\=\dfrac{2(x+h)^2-5-x^2+5}{x+h-x}\\ \\=\dfrac{2(x+h)^2-2x^2}{h}\\ \\=\dfrac{2x^2+4xh+2h^2-2x^2}{h}\\ \\=\dfrac{4xh+2h^2}{h}\\ \\=4x+2h

c) If h\rightarrow 0, then the gradient 4x+2h\rightarrow 4x

5 0
2 years ago
Thrifty Supply Store normally sells candy bars for $0.59. Today they are running a special 2 candy bars for $0.99. How much woul
yaroslaw [1]
At regular price the 10 candy bars would cost $5.90 (0.59×10=5.90). At the sale price the 10 candy bars cost $4.95 (0.99×5 = 4.95). So you would save $0.95 (as 5.90-4.95 =0.95).
7 0
2 years ago
Read 2 more answers
Consider this polynomial, where a is an unknown real number.
DENIUS [597]

Answer:

Step-by-step explanation:

Correct steps to find the value of 'a' should be,

Braulio's synthetic division should be,

-1  |     1       5         a          -3           11

   

    <u>            -1        -4        (4 - a)     (a - 1)  </u>

         1      4     (a - 4)     (1 - a)     (a + 10)

Here remainder is (a + 10).

So (a + 10) = 17 ⇒ a = 7

Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.

Zahra's calculation by remainder theorem should be,

p(x) = x⁴ + 5x³ + ax² - 3x + 11

p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11

      = 1 - 5 + a + 3 + 11

      = (a + 10)

Since, remainder of the solution is 17,

(a + 10) = 17 ⇒ a = 7

Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).

8 0
2 years ago
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