Use calculus to find the area a of the triangle with the given vertices. (0, 0), (5, 4), (2, 6)

You are considering a 5/1 ARM. What does the 5 represent?

umka21 [38]

The 5 is the number of years that the interest rate is fixed (at the initial amount set when you sign the mortgage contract)

The 1 represents the idea that the interest rate will change every year after the initial 5 years are up.

7 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

$(x-h)^2+(y-k)^2=r^2$

We substitute the center and the radius into the formula to get;

$(x-4)^2+(y-8)^2=2.5^2$

$(x-4)^2+(y-8)^2=6.25$

6 0

3 years ago

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wed

vazorg [7]

-Answer:Option B: Increase the amount of money they save each month by $80 from what they've been saving.

Step-by-step explanation: Only option B will allow them to meet their goal.

7 0

2 years ago

The word “harvested” is used figuratively in paragraph 10. How do you know it is used figuratively, and why did the author choos

Jet001 [13]

For with the careless bones of the young men harvested by the night and bindled around campfires were the similarly strewn steel bones of their rifle, with bayonets fixed like eternal lightning lost in the orchard grass.
The word “harvested” is used figuratively in paragraph . How do you know it is used figuratively, and why did the author choose this word?

6 0

3 years ago

Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and r

andrezito [222]

Answer:

$(sec x)+(cos x)=(tan x)*(sin x)\\identities\\(sec x)= 1/cos x\\(tan x)=sin x/cos x\\\\and\\(cos x)^{2}+(sin x)^{2}=1\\(cos x)^{2}=1-(sin x)^{2}\\\\(1/cos x )+(cos x) = (sin x)*(sin x)/(cos x)\\ [(1/cos x)+(cos x)]*(cos x)=(sin x)^{2}\\\\1+(cos x)^{2}=(sin x)^{2}\\1+1-(sin x)^{2}=(sin x)^{2}\\2=2*(sin x)^{2}\\2/2=(sin x)^{2}\\1=(sin x)^{2}\\\\This is not true ,so\\(sec x)+(cos x)\neq (tan x)*(sin x)$

6 0

3 years ago