The equations given are parallel lines wherein they never meet however you extend the lines formed. Just by looking, you can say they are parallel since they have the same slope. Also, the second equation is a translated equation of the first one. The y-intercept of the first is moved from zero to negative 3.
Answer: 1 minute 34 seconds
Step-by-step explanation:
From the question, Frankie was practicing for a 5 kilometer race and his normal time is 31 minutes and 24 seconds but yesterday he used 29 minutes and 50 seconds. To calculate how much time came of his normal time, we are going to find the difference between the yesterday's time and normal time. This will be:
31 minutes 24 seconds - 29 minutes 50 seconds = 1 minute 34 seconds
The pyramid given above has four faces. Each of which are in triangular shape. The area of the triangle is calculated through the equation,
A = bh / 2
where A is area, b is base and h is the height.
Substituting the known values,
A = (4 inch)(9 inch) / 2 = 18 in²
Multiplying this area by 4 will give us an answer of 72 in².
Then, we also calculate for the area of the square base.
A = s²
where s is the measure of each side of the square.
A = (4 in)² = 16 in²
Finally, we add up the calculated areas.
surface area = 72 in² + 16 in²
<em>surface area = 88 in²</em>
Hence, the surface area of the figure is equal to 88 in².
We know the bottom triangle is a 45, 45, 90 triangle, so the hypotenuse is √2 times the value of the legs:
(√2)(√2)
=√4
=2
Now, we can use this to solve for y. The top triangle is a 30, 60, 90 triangle. The side we found above is the side across from the 30 degree angle. The side opposite the 60 degree angle is √3 times the side across the 30 degree angle. Therefore, we can solve for y by multiplying 2 by √3
y=2√3
Answer:
The equation of the line is y = 2x - 2
Step-by-step explanation:
In order to find this, we first need to find the slope. For that we use slope intercept form.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - 4)/(4 -3)
m = 2/1
m =2
Now that we have this, we can use the slope and either point in slope-intercept form to get the equation.
y - y1 = m(x - x1)
y - 4 = 2(x - 3)
y - 4 = 2x - 6
y = 2x - 2