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3 years ago

6

Find the length of the radius of a circle whose center is at (3,4) and passes through (-3, -4).

1 answer:

Elena L [17]3 years ago

8 0

Answer:

$5\sqrt{2}$

Step-by-step explanation:

well we use the distance formula

$\sqrt{(4^{2}+(-4)^2 )+(3^2+(-3)^2)}\\ =\sqrt{32+18} \\=\sqrt{50}\\ =5\sqrt{2}$

so that's the length of the radius

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Two equations are given below:

goldenfox [79]

Since the second equation gives a value for a, we can substitute it into the other equation to find a value for B.

Let's substitute b-2 into the first equation wherever there is an a.

a - 3b = 4
(b-2) - 3b = 4
b - 2 - 3b = 4
-2 - 2b = 4
-2b = 6
b = -3

Now let's find a by substituting -3 into either of the equations to find the value of a.

a = b - 2
a = -3 - 2
a = -5

So your solution set is (-5, -3)

4 0

3 years ago

-1. The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let

olga nikolaevna [1]

<span>Using processing software (Excel) or even a decent scientific calculator. You input the values and generate the best fit cubic equation.
For number 1, the equation is
y = 8x10</span>⁻⁵ x³ - 0.0097 x² + 0.374 x + 1.083
where x is the number of years since 1900
y is the pounds cheese consumed

For number 2, the equation is
y = -3x10⁻⁵ x³ + 0.0028 x² + 0.2155 x + 1.7736

For number 3
P(-1) = 18

5 0

3 years ago

Hester sells televisions. She earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended war

tiny-mole [99]

Answer:

$y =mx +bx$

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

$1200 = 15*16 +16b$

and solving for b we got:

$b= \frac{1200-15*16}{16}= 60$

And then we can conclude that she earns 60 for each TV

Step-by-step explanation:

For this case we can set a linear model like this:

$y =mx +bx$

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

$1200 = 15*16 +16b$

and solving for b we got:

$b= \frac{1200-15*16}{16}= 60$

And then we can conclude that she earns 60 for each TV

8 0

3 years ago

Assume that the weight of two year old babies have distribution that is approximately normal with a mean of 29 pounds and a stan

Lana71 [14]

Answer:

25.15 ponds is the weight of two year old baby corresponds to 10th percentile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 29 pounds

Standard Deviation, σ = 3 pounds

We are given that the distribution of weight of two year old babies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 29}{3})=0.10$

Calculation the value from standard normal z table, we have,

$P(z < -1.282) = 0.10$

$\displaystyle\dfrac{x - 29}{3} = -1.282\\x = 25.154 \approx 25.15$

Thus, 25.15 ponds is the weight of two year old baby corresponds to 10th percentile.

5 0

3 years ago

1/6 into a decimal and percent WILL REPORT AND GIVE BRAINLYEST

Vlada [557]

Answer:

1/6 = 0.167 or 16%

Step-by-step explanation:

Okay, so to go from a fraction to a decimal, you really just have to put the dot in the right place:

1/6 = 0.167 (rounded)

So 1/6 is 0.167 as a decimal

So to find the percentage:

0.167 x 10 = 16.7

So 1/6 is 16.7%

hope this helps:)

7 0

3 years ago

Read 2 more answers