All categories

3 years ago

If the end points of the diameter of a circle are (9,4) and (5,2) what is the standard form equation of the circle

Mathematics

1 answer:

timurjin [86]3 years ago

6 0

Answer:

(x - 7)² + (y - 3)² = 5

Step-by-step explanation:

The center (h , k) is the midpoint of two end points of diameter

h = (9 + 5) / 2 = 7

k = (4 + 2) / 2 = 3

Equation of circle: (x - h)² + (y - k)² = r²

r = (√(9 - 5)² + (4 - 2)²) / 2 = √5

Equation: (x - 7)² + (y - 3)² = 5

You might be interested in

Sarah bought a shirt on sale for $35. The original price of the shirt was three times that amount Sarah also bought a pair of sh

Zolol [24]

Answer:

$245

Step-by-step explanation:

Orignal price for shirt was 105

Original price for shoe sizes was 140

105+140=245

4 0

3 years ago

How do I factor trinomials of a form ax^2+bx+c when a=1 In one paragraph

vitfil [10]

Answer:

Trinomials in the form $x^2+bx+c$ can often be factored as the product of two binomials.

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

$ax^2+bx+c$

a = 1

$x^2+bx+c$

Trinomials in the form $x^2+bx+c$ can often be factored as the product of two binomials.

For example,

$x^2+7x+10$

$=\left(x^2+2x\right)+\left(5x+10\right)$

$=x\left(x+2\right)+5\left(x+2\right)$

$\mathrm{Factor\:out\:common\:term\:}x+2$

$=\left(x+2\right)\left(x+5\right)$

Therefore, Trinomials in the form $x^2+bx+c$ can often be factored as the product of two binomials.

6 0

2 years ago

MARK BRAINIEST The base of a triangle is 7 3/4 inches, and the height is 4 2/3 inches. What is the area of the triangle? A) 14 4

Keith_Richards [23]

Short Answer: B
Remark
The area of any triangle is
A = 1/2 b * h
b = 7 3/4
h = 4 2/3

Step one
Convert all fractions to improper fractions.

7 3/4 = (28 + 3) / 4 = 31/ 4

4 2/3 = (12 + 2) / 3 = 14/3 Now multiply

Step Two
Multiply
Area = 1/2 * 31/4 * 14/3 Multiply the numerators together and then the denominators.
Area = (1 * 31 * 14) / (2 * 4 * 3) = 434 /24

Step 3
Convert this to a whole number + a fraction

Area = 18 + 0.08333333 You already have your answer. It is B because only B gives an answer of 18. But you can get the rest of

Let x = 0.083333333
100 x = 8.3333333333
x = 0.0833333333 Subtract
99 x = 8.25 Divide by 3 on both sides.
33 x = 2.75 Divide by 11
3x = 0.25
x = 0.25/3 Multiply top and bottom by 4
x = 1 / 12

The answer is 18 1/12.

3 0

2 years ago

PLEASE HELP!!! WORTH 3 GRADES

Rufina [12.5K]

The correct answer should be D

6 0

3 years ago

Read 2 more answers

1/7 divided by 3 Is it 1/3 or 1/2 im so confuse

larisa86 [58]

<h3>given:</h3>

$\frac{1}{7} \div 3$