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1 year ago

What is the center and radius of the circle with equation (x − 5)2 + (y + 6)2 = 9?

Mathematics

1 answer:

Brilliant_brown [7]1 year ago

6 0

Answer: (5, -6) and 3

Step-by-step explanation:

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What is the length of Line segment B C? 9 units 11 units 15 units 16 units

denpristay [2]

Answer:

15 units

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

Applying the Pythagorean Theorem

$AB^2=AC^2+BC^2$

we have

$AB=17\ units\\AC=8\ units$

substitute the given values

$17^2=8^2+BC^2$

solve for BC

$289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=15\ units$

3 0

3 years ago

Read 2 more answers

Thirty six plus b is greater than negative twenty four b plus negative sixty four

8_murik_8 [283]

Answer:

Step-by-step explanation:

36 + b > -24b + (-64)

24b + b > -36 - 64

25b > 100

b > 100/25

b > 4

8 0

3 years ago

5. In the triangle ABC. M is the midpoint of [AB] and N is the midpoint of [CM].

sweet [91]

Answer:

N(2,3)

Step-by-step explanation:

According to the Question,

Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6).

Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).

Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)

Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).

Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)

8 0

3 years ago

Two make ice cream for a family reunion frank used 6 cups of cream 1/2 gallon of gallon of milk. How many pints of cream and mil

aleksley [76]

He used 7 pints all together because there at 2 cups in each pint and 4 pints in a half a gallon.

6 0

3 years ago

You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

2 years ago