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Elis [28]
3 years ago
14

Completing the Square to Write in Ve

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

a

Step-by-step explanation:

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Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less tha
Dovator [93]

Answer: x ≤ 950

Step-by-step explanation:

5,225.00÷5.50

= 950

5 0
3 years ago
Read 2 more answers
A circle is centered at N(-6, -2). The point E(-1,1) is on the circle.
galina1969 [7]

Answer:

Outside the circle

Step-by-step explanation:

Let's first write the equation of this circle: (x-h)^2+(y-k)^2=r^2, where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:

NE = \sqrt{(-6-(-1))^2+(-2-1)^2} =\sqrt{25+9} =\sqrt{34}

The radius is √34, which means that r² = 34. So, our equation is:

(x + 6)² + (y + 2)² = 34

Plug in -10 for x and -7 for y:

(x + 6)² + (y + 2)² = 34

x² + 12x + 36 + y² + 4y + 4 = 34

x² + 12x + y² + 4y + 40 = 34

x² + 12x + y² + 4y + 6 = 0

(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7

Since 7 > 0, we know that H lies outside the circle.

6 0
3 years ago
Read 2 more answers
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection betw
Rzqust [24]

Answer:

Step-by-step explanation:

Given:

∠DCE ≅ ∠DEC

∠B ≅ ∠F

DF ≅ BD

To prove:

ΔABC ≅ ΔGFE

Solution:

                  Statements                            Reasons

1). ∠DCE ≅ ∠DEC                                1). Given

2). ∠ACB ≅ ∠GEF                               2). Vertically opposite angles to the

                                                                 congruent angles.

3). ∠B ≅ ∠F                                         3). Given

4). DB ≅ DF                                         4). Given

5). DC + CB ≅ DE + EF                       5). Segment addition postulate

6). DC ≅ DE                                        6). Property of isosceles triangle

7). CB ≅ EF                                         7). Transitive property

8). ΔABC ≅ ΔGFE                              8). ASA property of congruence

4 0
3 years ago
The ratio of a rectangle's length to its width is 2:1. if the length is 14cm long what is the width
Anna11 [10]
2/1 = 14/x
cross mulitply
2x=14
2x/2=14/2
x=7

The width is 7 cm
6 0
3 years ago
Smallest to largest?
aleksandr82 [10.1K]

Answer:

B. <Q, <P, <R

Step-by-step explanation:

3 0
3 years ago
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