Find the area of a triangle with base b and helght . Round your answer to the nearest hundredth If necessary b = 14.3ml h = 10.7
1 answer:
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The figure is a parallelogram, and in a parallelogram, the lower side and the upper side have the same length. Also, the left side and the right side have the same length. This is shown in the following image:
The red sides are equal, and the blue sides are equal.
Thus, since the blue sides are equal, we can use the following equation to find x:
And since, once we know x, we can know the length of JK, this is the equation that we can use to find JK.
Answer:
7x=3x+14
I know you didn't want an explanation, but I'll give you one anyway.
So, for a function, when you have f(5) = , then you'll put that 5 in for all of the x's in the function.
The first batch of problems gave you the equation f(x) =
+ 3. Now, plug in the numbers given for s and solve.
1. f(5) = <span> + 3 Plug in 5 for x
</span> =
+ 3 Make three into a fraction over 2
= + <span>
Add
= </span><span><span>
</span>2. f(-4) = </span><span> + 3 Plug in -4 for x
= </span><span>
+ 3 Divide -4 by 2
= -2 + 3 Add
= 1
For the next set, you have g(x) = x</span>² + 1.
3. Let's split this up. Solve the first equation, then the second, and then put the answers together to solve it.
g(4) = x² + 1 Plug in 4 for x
= 4² + 1 Square
= 16 + 1 Add
= 17
g(3) = x² + 1 Plug in 3 for x
= 3² + 1 Square
= 9 + 1 Add
= 10
Now, put the two together.
g(4) + g(3) = Substitute in the answers you just got.
17 + 10 = Add
= 27
4. g(-1) = x² + 1 Substitute in -1 for x
= (-1)² + 1 Square
= 1 + 1 Add
= 2
5. g(-6) = x² + 1 Plug in -6 for x
= (-6)² + 1 Square
= 36 + 1 Add
= 37
For the last set, we have h(x) = x² + 7 and k(x) = 4x - 5. We'll have to pay close attention to the starting variables here.
6. h(-6) = x² + 7 Plug in -6 for x
= (-6)² + 7 Square
= 36 + 7 Add
= 43
k(4) = 4x - 5 Plug in 4 for x
= 4(4) - 5 Multiply
= 16 - 5 Subtract
= 11
Put the two answers into the final equation.
h(-6) + k(4) = Substitute in the answers you got
43 + 11 = Add
= 54
7. k(10) = 4x - 5 Plug in 10 for x
= 4(10) - 5 Multiply
= 40 - 5 Subtract
= 35
h(2) = x² + 7 Plug in 2 for x
= 2² + 7 Square
= 4 + 7 Add
= 11
Now, put those into the equation.
k(10) - h(2) = Plug in the answers you got
35 - 11 = Subtract
= 24
8. For this one, it wants you to add h(x) and k(x). We don't need to plug anything into the equations this time because they're both already solved for x! So, you can just set this up like a standard find-x equation.
(x² + 7) + (4x - 5) =
x² + 7 + 4x - 5 = Combine like terms (7 and -5)
x² + 2 + 4x = Reorder so the variables come first
= x² + 4x + 2
So, for a function, when you have f(5) = , then you'll put that 5 in for all of the x's in the function.
The first batch of problems gave you the equation f(x) =
1. f(5) = <span>
</span> =
=
= </span><span><span>
</span>2. f(-4) = </span><span>
= </span><span>
= -2 + 3 Add
= 1
For the next set, you have g(x) = x</span>² + 1.
3. Let's split this up. Solve the first equation, then the second, and then put the answers together to solve it.
g(4) = x² + 1 Plug in 4 for x
= 4² + 1 Square
= 16 + 1 Add
= 17
g(3) = x² + 1 Plug in 3 for x
= 3² + 1 Square
= 9 + 1 Add
= 10
Now, put the two together.
g(4) + g(3) = Substitute in the answers you just got.
17 + 10 = Add
= 27
4. g(-1) = x² + 1 Substitute in -1 for x
= (-1)² + 1 Square
= 1 + 1 Add
= 2
5. g(-6) = x² + 1 Plug in -6 for x
= (-6)² + 1 Square
= 36 + 1 Add
= 37
For the last set, we have h(x) = x² + 7 and k(x) = 4x - 5. We'll have to pay close attention to the starting variables here.
6. h(-6) = x² + 7 Plug in -6 for x
= (-6)² + 7 Square
= 36 + 7 Add
= 43
k(4) = 4x - 5 Plug in 4 for x
= 4(4) - 5 Multiply
= 16 - 5 Subtract
= 11
Put the two answers into the final equation.
h(-6) + k(4) = Substitute in the answers you got
43 + 11 = Add
= 54
7. k(10) = 4x - 5 Plug in 10 for x
= 4(10) - 5 Multiply
= 40 - 5 Subtract
= 35
h(2) = x² + 7 Plug in 2 for x
= 2² + 7 Square
= 4 + 7 Add
= 11
Now, put those into the equation.
k(10) - h(2) = Plug in the answers you got
35 - 11 = Subtract
= 24
8. For this one, it wants you to add h(x) and k(x). We don't need to plug anything into the equations this time because they're both already solved for x! So, you can just set this up like a standard find-x equation.
(x² + 7) + (4x - 5) =
x² + 7 + 4x - 5 = Combine like terms (7 and -5)
x² + 2 + 4x = Reorder so the variables come first
= x² + 4x + 2