Answer:
x = 7
Step-by-step explanation:
The angle adjacent to the 70 degree angle is also 70 degrees. We assume that there are four 90-degree angles in the center of the figure. Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).
Solving 8x - 36 + 70 + 90 = 180 for x:
8x - 36 = 20, or 8x = 56.
Dividing both sides by 8 yields x = 7.
Linear equation: d = m t + b
If the graph of the position of the second object is parallel to d = 2.5 t +2.2, than m = 2.5
t = 0, d = 1
1 = 2.5 · 0 + b
b = 1
Answer: A ) d = 2.5 t + 1
Answer:

Step-by-step explanation:
The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:


The numerical value of the slope is:

The component of the y-axis is:

Now, the tangent line has the following mathematical model:

The value of the intercept is found by isolating it within the equation and replacing all known variables:


Thus, the tangent line is:

The vertical distance between a point of the tangent line and the origin is given by the intercept.

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:




The area of the triangle is computed by this formula:



It would be: 11/18 - 1/6
= 11 - 3 / 18
= 8/18
= 4/9
In short, Your Answer would be Option D
Hope this helps!
Answer:
£5083
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2.1%/100 = 0.021 per year,
then, solving our equation
I = 4600 × 0.021 × 5 = 483
I = £ 483.00
The simple interest accumulated
on a principal of £ 4,600.00
at a rate of 2.1% per year
for 5 years is £ 483.00.