Answer:
No solution.
Step-by-step explanation:
y = x - 8
y = x² - 2x - 3
Let's find the point where the lines meet;
x - 8 = x² - 2x - 3
x² - 2x + x - 3 + 8 = 0
x² - x + 5 = 0
Applying the quadratic formula method we get,
It will give the value of "x" a complex number hence that graph does not have a solution.
Since one nickel equals 5 cents, you'd multiply 10 nickels by 5 cents apiece and yield 50 cents to spend.
Step-by-step explanation:
(You might need to draw the triangle on a piece of paper to follow)
First I tried to find the height in terms of<em> a</em>.
If you draw the height in, the triangle is cut in half. That half triangle is a right triangle.
Using the Pythagoras theorem you can find out the height. Since you know that the hypotenuse is also <em>a </em>(because it's an equilateral triangle) the equation would be:
(a/2)² + h² = a²
Assuming that h = height
(It's a/2 because when you cut the triangle in half, the base of the right triangle became a/2)
This equation is simplified:
a²/4 + h² = a²
a² + 4h = 4a²
4h = 3a²
h² = 3a²/4
Now, remeber that everything is squared so it should be
h = a√3/2
Now we have the height. To get the area we need to multiply it by the base, which is <em>a, </em>and then divide it by 2<em>.</em>
a√3/2 × a ÷ 2
a²√3/2 ÷ 2
a²√3/4
And there you go. Thats the area.
Answer:
228 feet
Step-by-step explanation:
Since M represents the number of lessons he completes,
sub M=8 into S=26M+20
S=26(8)+20
=228
Answer:
- d=80t
Step-by-step explanation:
The relationship between distance traveled (d), speed (s), and time taken (t) can be represented the following expressions:
- d = st
Using any of these expressions you can show the relationship. Substitute s = 80 for the speed.
- d=80t
