How do I simplify this?
Answers
It doesn't mean make the problem easier.
It means that when you have the answer, make sure it's in simplest form.
That's why it says "Simplify your answer".
Notice that that's the 2nd instruction.
There's nothing to simplify until you have an answer.
The first thing you have to do here is find the area of a triangle.
Do you remember that formula ?
I'll bet you do.
The area of a triangle is (1/2) · (length of the base) · (height) .
The height and the length of the base are given, right there
in the picture. Take those, and use them to find the area.
Once you've multiplied the binomials, don't forget about the (1/2).
Finally, you have a trinomial for an answer.
Put the big sweet cherry on top: Factor it !
I think that's the 'simplify' part.
You may be surprised.
I was when I worked it out just now ... just for you.
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Solve the equation 4x-6= 34. Write a reason for each numbered step.
Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?x2(x – 9) – 5(x – 9) x2(x + 9) – 5(x + 9) x(x2 + 5) – 9(x2 + 5) x(x2 – 5) – 9(x2 – 5)
B.) sometimes
C.) always
D.) never
Answers
Similar polygons are polygons wherein the corresponding angles are congruent and the corresponding sides are proportional with each other. Thus, having a pair of similar polygons would mean that its corresponding angles would always be congruent.
Answers
Answer:
The decrease is exponential.
Step-by-step explanation:
An exponential decrease is something like:
f(x) = A*(r)^x with 0 < r < 1
A linear decrease is something like:
g(x) = -a*x + b with a > 0
First ai general formula.
If you have a quantity Q, decreased by an X%, the new quantity will be:
New Quantity = Q - Q*(X%/100%)
Now let's look at the question:
Suppose that the original price of the computer component is K
And the price as a function of the year is P(y)
Then we know that, in the year zero, the price is K.
P(0) = K
One year after, the price decreases by 2.25%
Then:
P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)
After another year, we will have another decrease of 2.25%
Then:
P(2) = K*(1 - 0.0225) - K*(1 - 0.0225)*(2.25%/100%)
P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2
We already can see the pattern, we can expect that in the year y, the price of the component will be:
P(y) = K*(1 - 0.0225)^y
This clearly is an exponential decrease.
Answers
4y=20
4y=20
y=5
Substitute to first equation
7x+15=22
7x=7
x=1
Answers
Answer:
x = 154/13
Step-by-step explanation:
You are given the measures of all three angles in a triangle
so according to the Triangle Sum Theorem:
∠MNO + ∠OMN + ∠NOP = 180
1. Substitute the measures of the angles into the equation:
(3x + 11) + (2x + 20) + (8x - 5) = 180
2. Combine like terms:
(3x + 2x + 8x) + (11 + 20 -5) = 180
13x + 26 = 180
3. Isolate x by subtratcing 26 from both sides
13x + 26 -26 = 180 -26
13x = 154
4. Solve for x by dividing both sides by 13
13x/13 = 154/13
x = 154/13