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2 years ago

Standard equation an each circle

Mathematics

1 answer:

professor190 [17]2 years ago

3 0

Answer:

Incorrect

Step-by-step explanation:

Juanita is incorrect because she shouldn't be using 2 squared.

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Jacob leaves his summer cottage and drives home. After

krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km = (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

6 0

3 years ago

Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When J

solmaris [256]

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

$E = 1012.50, t = 15, I = 0.045$

We have to find P. So

$E = P*I*t$

$1012.50 = P*15*0.045$

$P = \frac{1012.50}{15*0.045}$

$P = 1500$

Javier's parents set aside $1500 when he was born

6 0

2 years ago

The temperature at 5pm is 20 degrees. The temperature at 10pm is -5 degrees. What is the equation

marusya05 [52]

The equation is y=-5x + 20, x being the hours that go by after 5pm.

8 0

3 years ago

If theta is an acute angle, solve the equation tangent theta equals four fifths

rusak2 [61]

Answer:

$\theta=38.7\degree$

Step-by-step explanation:

We want to solve $\tan \theta=\frac{4}{5}$ given that $\theta$ is acute.

We take tangent inverse of both sides to get:

$\theta=\tan^{-1}(\frac{4}{5})$

Now set your calculator to degree mode and evaluate $\tan^{-1}(\frac{4}{5})$ to obtain:

$\theta=38.6598\degree$

To one decimal place, we have;

$\theta=38.7\degree$

5 0

3 years ago

If A and B are independent events PA equals .25 and B equals .3 what is P a/b

jeka57 [31]

The a is idshdvsvehdhdbdhdhggansnsbfsbshd

5 0

2 years ago

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