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lawyer [7]
3 years ago
13

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the

length of the radius?
A(-7, -1), 36 units
B(7, 1), 36 units
C(7, 1), 6 units
D(-7, -1), 6 units
Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0
Hello : 
<span>x² + y² + 14x + 2y + 14 = 0
</span>(x²  + 14x) + (y²+ 2y) + 14 = 0
(x²  + 14x+49-49) + (y²+ 2y+1-1) + 14 = 0
(x²  + 14x+49)-49 + (y²+ 2y+1)-1 + 14 = 0
(x+7)² + (y+1)² =6²...(answer : <span>D(-7, -1), 6 units )</span>

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If f(x) is a function and f(1) = 5, then which of the following could not be true?
Natasha_Volkova [10]
It can't be f(1) = 1 because a function can't have two images on the same x.
8 0
3 years ago
Read 2 more answers
janet completed this entier column of math homework in 10 min. How many sec per question did janet spend
xxTIMURxx [149]

Step-by-step explanation:

10 minutes = 600 seconds

Seconds per question is seconds/questions

Divide 600 by the number of questions:

600/(number of questions) = ________ seconds per question

4 0
3 years ago
Quadrilateral HGEF is a scaled copy of quadrilateral DCAB. What is themeasurement of lin EG?
lozanna [386]

Answer:

14 units

Explanation:

If quadrilaterals HGEF and DCAB are similar, then the ratio of some corresponding sides is:

\frac{FH}{BD}=\frac{EG}{AC}

Substitute the given side lengths:

\begin{gathered} \frac{6}{3}=\frac{EG}{7} \\ 2=\frac{EG}{7} \\ \implies EG=2\times7 \\ EG=14 \end{gathered}

The measurement of line EG is 14 units.

3 0
1 year ago
Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5
Darina [25.2K]

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

x = y + 1 --- Equation 1

From the question; we have that

\frac{4x}{7} = \frac{y}{2} + 5 --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5

2 * 4x = 7 * y + 70

8x = 7y + 70 ---- Equation 3

Substitute y + 1 for x in equation 2

8(y + 1) = 7y + 70

Open bracket

8y + 8 = 7y + 70

Collect like terms

8y - 7y = 70 - 8

y = 62

x = y + 1

So,

x = 62 + 1

x = 63

Hence, the consecutive numbers are 62 and 63

8 0
3 years ago
Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi
Lilit [14]

ANSWER

• Circumference: 18.84 ft

,

• Area: 28.26 ft²

EXPLANATION

The circumference of a circle of radius r is,

C=2\pi r

In this case, the radius is r = 3 ft and we have to use 3.14 for π,

C=2\cdot3.14\cdot3ft=18.84ft

Hence, the circumference of this circle is 18.84 feet.

The area of a circle of radius r is,

A=\pi r^2

In this case, r = 3 ft and π = 3.14,

A=3.14\cdot3^2ft^2=28.26ft^2

Hence, the area of this circle is 28.26 square feet.

6 0
1 year ago
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