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jeyben [28]
2 years ago
12

Question is in the picture

Mathematics
1 answer:
irakobra [83]2 years ago
4 0

Answer:

49.4 (rounded to the nearest tenth)

Step-by-step explanation:

You need to use the Pythagorean theorem -> a^{2} + b^{2} = c^{2} -> c^{2} is the hypotenuse

         a^{2} + b^{2} = c^{2}

(7x + 7)^{2} + 5x = c^{2}

(7x7)^{2} + (5x7) = c^{2}

      49^{2} + 35 = c^{2}

          2436 = c^{2}

         \sqrt{2436} = c

                 c = 49.355850717

                 c = 49.4 (round to the nearest tenth)

hope this helps, sorry if it is not right

     

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sammy's bicycle and tricycles. clarence went to Sammy's and counted 37 sets of handlebars and 95 wheels. How many bicycles and t
Trava [24]

Answer:

16 bicycles and 21 tricycles

Step-by-step explanation:

Both bicycles and tricycles have 1 set of handlebars. Bicycles have 2 wheels while tricycles have 3.

Using this information, set up a system of equations, where b is the number of bicycles and t is the number of tricycles:

b + t = 37

2b + 3t = 95

Solve by elimination by multiplying the top equation by -2:

-2b - 2t = -74

2b + 3t = 95

t = 21

Then, plug in 21 as t into one of the equations:

b + t = 37

b + 21 = 37

b = 16

So, there are 16 bicycles and 21 tricycles

4 0
3 years ago
How do you estimate the first digit of the quotient
Ray Of Light [21]
If the number is 5 or greater you round it up 
if its four or less you round down

3 0
3 years ago
Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int
melisa1 [442]

Answer:

Vertex form: f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

Step-by-step explanation:

For a general quadratic function the form is:

ax ^ 2 + bx + c

For the function

f(x) = x ^ 2+ 7x -1

The values of the coefficients for the function are the following: a = 1, b =7, c = -1

Take the value of b and divide it by 2. Then, the result obtained squares it.

\frac{b}{2}= \frac{7}{2}

(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}

Add and subtract \frac{49}{4}

f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1

Write the expression of the form

f(x) = (x+\frac{b}{2})^2 +k

f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

6 0
3 years ago
5. A certain company stock began at a starting price of $23
Kaylis [27]

Answer:

$ 35 .00

Step-by-step explanation:

..............................

5 0
2 years ago
(x^2–x–4)multiplied by(x–5)
Sergio [31]

(x-5)(x^2-x-4) =x^3-6x^2+x+20

Step-by-step explanation:

Given polynomials are:

x^2-x-4\\and\\x-5

Both polynomials have to be multiplied. We will use distributive property for the said purpose

So,

(x-5)(x^2-x-4)\\=x(x^2-x-4)-5(x^2-x-4)\\=x^3-x^2-4x-5x^2+5x+20

Combining alike terms

=x^3-x^2-5x^2-4x+5x+20\\=x^3-6x^2+x+20

Hence,

(x-5)(x^2-x-4) =x^3-6x^2+x+20

Keywords: Polynomials, Multiplication

Learn more about polynomials at:

  • brainly.com/question/4703807
  • brainly.com/question/4703820

#LearnwithBrainly

7 0
2 years ago
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