Answer:
Step-by-step explanation:
Find the slope of the line AB.
<u>The slope:</u>
- m = (11 - 9)/(11 - 7) = 2/4 = 1/2
Since the altitude is perpendicular to AB, it has a slope of -2.
The line with the slope of -2 and passes through point C(6, 16).
<u>Use point-slope equation to find the line:</u>
- y - 16 = -2(x - 6)
- y - 16 = -2x + 12
- y + 2x = 16 + 12
- 2x + y = 28
A = 2, B = 1, C = 28
A mixed number looks like this: a(b/c)
The improper fraction currently looks like this: (ab/c)
Round the numerator to something you can divide by the denominator. For example, 45 would be rounded to 42. 42/7=6. 6 would be the whole number.
45-42=3. 3/7 is the new fraction.
So the answer for c is 6(3/7)
Do you know how to do d?
Answer:
y = 8 · 10ˣ
Step-by-step explanation:
y = abˣ
When x = 0, y = 8.
8 = ab⁰
8 = a
When x = 3, y = 8000.
8000 = 8b³
1000 = b³
10 = b
The function is:
y = 8 · 10ˣ
Answer:
Step-by-step explanation:
<u>Slope intercept form:</u>
<u>Use two points from the graph:</u>
<u>The first point is the y-intercept: </u>
<u>Find the slope using the slope formula:</u>
- m = (y2 - y1)/(x2 - x1)
- m = (-9 - (-8))/3 = -1/3
<u>The equation is:</u>
Step-by-step explanation:
Solving this equation using the quadratic formula, we get two real solutions :
1.1926 or -4.1926
Now we know the values of v , we can calculate x since x is ∛ v
![x = \sqrt[3]{1.1926} = 1.0605 \\ x = \sqrt[3]{ - 4.1926} = - 1.6125](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%5B3%5D%7B1.1926%7D%20%20%3D%201.0605%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B%20-%204.1926%7D%20%20%3D%20%20-%201.6125)
