9514 1404 393
Answer:
base: 12 in
altitude: 7 in
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Filling in the given information, we have ...
42 = 1/2(b)(b -5)
b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form
(b -12)(b +7) = 0 . . . . factor
The only positive solution is b = 12
The base is 12 inches; the altitude is 7 inches.
-25×2=-50
Negative and positive numbers are integers, like shown above. Their product is negstive.
Answer:
(a) 7:9 or 7 to 9 or 
(b) 9:16 or 9 to 16 or 
Step-by-step explanation:
The first thing you need to figure out is how many daisies are in the vase. There are 9. So the answer to question a is 7 roses to 9 daisies. The answer to question b is 9 daisies to 26 total flowers in the vase.
I wrote #:# or # to # or
#/# because these are all of the ways you can write a ration. I wasn't sure which one you needed.
Hope it helps! :)
<h3>
Answer: y = x+1</h3>
===================================================
Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.