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3 years ago

Help plssss. picture attached

Mathematics

1 answer:

enot [183]3 years ago

3 0

Answer:30 feet.

Step-by-step explanation: 2 doubled is four and in the bigger triangle it says 5. Therefore 12 doubled and a bit more is 30

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Explain the procedure (but don't create the graph) for graphing the quadratic function in factored form f(x) = (x - 2)(x + 4) us

hichkok12 [17]

Answer: You will need to find the x-intercepts and the vertex

Step-by-step explanation: Use the information in the factors and some formulae.

The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0

Set each factor equal to 0 and solve:

x-2=0, so x = +2 and x +4 = 0, so x = -4 (you would plot these if creating the graph)

To find the vertex you need the Vertex Formula: x = -b/2a

b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b: -2x + 4x = 2x You know a = 1 because x² will have the implied (missing)(1).

Put the numbers in the Formula: x = -b/2a x = -(2)/2(1) -2/2 = -1

-1 is the "x-value" of the vertex.

The y value is the 'c' in the quadratic formula. You get that from the L part of FOIL -2 × 4 = -8 .

So, your coordinates for the vertex: ( -1, -8 )

If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.

5 0

3 years ago

Solve 13x - 4 < 12(x - 1).

Effectus [21]

13x - 4 < 12(x-1)
13x - 4 < 12x - 12
13x - 12x < -12 + 4
x < -8
x > 8

x is greater than 8

6 0

3 years ago

If a builder needs p pieces of wood for every 5s square feet of the building, what is the total amount of lumber of he needs to

Black_prince [1.1K]

Answer: He will need 700 pieces of wood.

Step-by-step explanation: Divide the total by how many square feet one piece of wood will cover, so 3,500/5, and you'll get 700.

Hope this helps.

5 0

3 years ago

3. Consider the sequence,-8, -5, -2, 1, ...

Naddik [55]

Answer:

a) $a_n=3\,n-11$

b) $a_{20}=49$

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

$a_n=a_1+(n-1)\,d$

That in our case would give:

$a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11$

Therefore, the term number 20 can be calculated from it:

$a_{20}=3\,(20)-11=60-11=49$

c) in order to find which term renders 20, we use the general form we found in step a):

$a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17$

so term number 17 is the one that renders a value of 40

5 0

3 years ago

Mrs. Lin had two dozen pencils. She gave them to four students and asked them to share equally among them. How many pencils shou

Mice21 [21]

Answer:

6 pencils each

Step-by-step explanation:

2 dozen = 24

24/4 = 6

3 0

3 years ago

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