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lawyer [7]
2 years ago
7

Find the range of the function. ƒ(x) = −x2 + 2 A)[2, ∞) B) (−∞, 2] C) [−2, ∞) D) (−∞, −2]

Mathematics
1 answer:
alex41 [277]2 years ago
5 0
The answer is the letter D
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Using the graph below, find the point(s) such that the sum of their coordinates is equal to 7.
gregori [183]

Answer:

Only A, B and C are the points whose coordinates are equal to 7.

Step-by-step explanation:

Considering the point A

As the location of point A is (0, 7)

The sum of their coordinates is equal to 0 + 7 = 7

Considering the point B

As the location of point B is (2, 5)

The sum of their coordinates is equal to 2 + 5 = 7

Considering the point C

As the location of point C is (6, 1)

The sum of their coordinates is equal to 6 + 1 = 7

Considering the point D

As the location of point D is (4, -3)

The sum of their coordinates is equal to 4 + ( -3 ) = 1

Considering the point E

As the location of point E is (1, -6)

The sum of their coordinates is equal to 1 + ( -6 ) = -5

Considering the point F

As the location of point F is (-2, -4)

The sum of their coordinates is equal to -2 + ( -4 ) = -2 - 4 = -6

Considering the point G

As the location of point F is (-5, -2)

The sum of their coordinates is equal to -5 + ( -2 ) = -5 - 2 = -7

Considering the point H

As the location of point H is (-4, 3)

The sum of their coordinates is equal to -4 + ( 3 ) = -4 + 3 = -1

From the above discussion, only A, B and C are the points whose coordinates are equal to 7.

7 0
3 years ago
Please help :).......
deff fn [24]

Option B:

The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.

Solution:

Given expression: |a| \leq 5

To find the equivalent expression for the given expression.

Apply absolute value rule:

<em>If |x| ≤ m  then -m ≤ x ≤ m.</em>

|a| \leq 5

⇒ -5 ≤ a ≤ 5

⇒ -5 ≤ a and a ≤ 5

Switch the sides, we get

⇒ a ≥ -5 and a ≤ 5

The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.

Option B is the correct answer.

7 0
3 years ago
Triangle ABC IS an isosceles triangle AB=BC m
True [87]

Answer:

<em>The measure of angle A is 73°</em>

Step-by-step explanation:

<u>Isosceles Triangles</u>

An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.

The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.

The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:

2*m\angle A=180^\circ - 34^\circ =146^\circ

Thus:

m\angle A=146^\circ /2=73^\circ

The measure of angle A is 73°

5 0
2 years ago
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Misha Larkins [42]

Answer:

1 and 2 are not congruent; 1 and 3 are congruent; 1 and 4 are congruent; 2 and 3 are not congruent; 2 and 4 are not congruent; 3 and 4 are congruent.

Step-by-step explanation:

From the diagram, we can see that the angle measures and side measures of figures 1, 3 and 4 are the same.  This means that these three figures are congruent.  Figure 2, however, is not congruent to any of the other 3.

5 0
3 years ago
Read 2 more answers
Aurora has been babysitting for 30 minutes, which is 20% of the total time she must babysit. What is the total amount of time in
atroni [7]
150 minutes i believe
3 0
2 years ago
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