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Alchen [17]
3 years ago
11

Graph y ≥ (x + 2)2 Click on the graph until the correct graph appears.

Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

We plug in the values of x and y as shown below:

the given equation is y\geq (x+2)^2

As we can see the equation is of the form of a parabola . The equation of parabola is given as y\geq (x-h)^2 + k

in the equation h = -2 and k =0

On plotting the above parabola on graph is as shown on the sheet

The vertex is (h,k) = (-2,0)

The y intercept is (0+2)^2 = 4. So, y intercept is (0,4)

The x intercept in this case is the same as vertex = (-2,0)

Now, we graph the parabola as shown in the attachment



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 \frac{15}{75}= \frac{3}{15}= \frac{1}{5}= \frac{20}{100}



The answer is 20%


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Order of expression and simplify expressions
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Answer:uidelines called the order of operations, which outlines the order in which parts of an expression must be simplified.

ORDER OF OPERATIONS

When simplifying mathematical expressions perform the operations in the following order:

1. Parentheses and other Grouping Symbols

Simplify all expressions inside the parentheses or other grouping symbols, working on the innermost parentheses first.

2. Exponents

Simplify all expressions with exponents.

3. Multiplication and Division

Perform all multiplication and division in order from left to right. These operations have equal priority.

4. Addition and Subtraction

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Step-by-step explanation:

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Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c
Paha777 [63]

Answer:

* AD is congruent to DC and BD <em>true</em>

* m∠B = 90° <em>true</em>

<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

* The measure of arc AB is equal to measure of arc BC <em>true</em>

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

3 0
3 years ago
An angle measures 2° less than the measure of its complementary angle. What is the measure of each angle?
Ahat [919]

Answer:

  angle: 44°

  complementary angle: 46°

Step-by-step explanation:

Complementary angles have a sum of 90°. We can use this relation and the one given to write equations for the angles of interest.

__

<h3>setup</h3>

Let 'a' and 'c' represent the angle and its complement, respectively.

  a = c -2 . . . . . an angle is 2° less than its complement

  a +c = 90 . . . . complementary angles total 90°

<h3>solution</h3>

Using the first equation to substitute for 'a' in the second, we have ...

  (c -2) +c = 90

  2c = 92 . . . . . . add 2, collect terms

  c = 46 . . . . . . . divide by 2

  a = 46 -2 = 44 . . . . find 'a' using the first equation

The angle is 44°; its complement is 46°.

6 0
2 years ago
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