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Vitek1552 [10]
3 years ago
5

(4.0), (1,3) Write in slope intercept form with steps

Mathematics
1 answer:
maxonik [38]3 years ago
7 0
Slope:0
y-intercept: (0,5.2)

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What is the radius of circle c
Oxana [17]

Answer:

radius = 13

Step-by-step explanation:

Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.

First let's find the shorter leg.

<u>Equidistant Chords Theorem</u>

Two chords are congruent if they are equidistant from the center.

Chords in the picture are congruent and that means that the distance from the center to each of them is the same!

Let's calculate the distance. But to get the distance we have to find x first.

Since the distances are the same:

x + 3 = 2x + 1\\2 = x

Therefore:

\text{distance (short leg)} = 2x + 1 = 2\cdot2 + 1 = 5

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.

Therefore:

\text{long leg} = \frac{\text{chord}}{2} = \frac{24}{2} = 12

All that is left is the Pythagorean Theorem in the right triangle.

<u>Pythagorean Theorem</u>

\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2

Hypotenuse in our case is the radius.

\text{radius}^2 = 5^2 + 12^2\\\text{radius}^2 = 25 + 144\\\text{radius}^2 = 169\\\text{radius} = 13

7 0
2 years ago
In which division will the quotient be a three digit number ?
ruslelena [56]

Answer:

b)612÷6

Step-by-step explanation:

6)612(102

-6

01

- 0

12

-12

0

=102

5 0
3 years ago
Module 5 assignment <br> Please, I need help on this<br> 45 points
Scorpion4ik [409]

Answer:

UMM ⇵Δ\lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \neq

Step-by-step explanation:

6 0
3 years ago
HELLP PLZ
Alenkasestr [34]
The answer is A.
Step by step explanation:
28/8=3.5
8 0
3 years ago
Read 2 more answers
A​ town's population increases in one year from 50,000 to 58,000. If the population is growing​ linearly, at a steady​ rate, the
jolli1 [7]

Answer:

66,000

Step-by-step explanation:

If a relation is linear, then for equal changes in x there are equal changes in y. If in 1 year the population increases by 8,000, then in any 1-year period, the population will also increase 8,000. The population started at 50,000. In 1 year, it became 50,000 + 8,000 = 58,000. At the end of the second year, it will have increased by another 8,000. 58,000 + 8,000 = 66,000.

4 0
3 years ago
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