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Bas_tet [7]
2 years ago
5

Help me please. How to prove this ?

Mathematics
1 answer:
podryga [215]2 years ago
3 0

Answer:

  • First, you want to divide the numerator and denominator by the cosine(x), and afterwards, it looks like this...

\frac{tan~x+1}{tan~x-1}

  • Include 45 as one of the parameters and correlate with <em>tan</em>.

\frac{tan~x+tan~45}{tan~x-tan~45}

  • Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, <em>tan x + tan 45.</em>
  • Lastly, simplify, and you have the answer as <em>tan(45 + x)</em>
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Show how to use the distributive property to simplify 4(5+x)
nalin [4]

Answer:

20+4x

Step-by-step explanation:

Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.

To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.

7 0
3 years ago
Read 2 more answers
How many solutions are there to the equation 8x+47=8(x+5)
earnstyle [38]
There are no solutions.<span>
</span>
8 0
3 years ago
How to find surface area of a right triangular prism to the nearest whole number?
vovangra [49]
The area of the two triangular bases is
  (total base area) = 2×(1/2)bh
    = bh
    = (10 m)(6 m) = 10·6 m² = 60 m²

The area of the three rectangles making up the remaining faces of the prism is
  (total lateral area) = length×base + length×height + length×hypotenuse
    = length×(base + height + hypotenuse)
    = (16 m)(10 m + 6 m + 11.6 m)
    = (16 m)(27.6 m) = 16·27.6 m² = 441.6 m²

Then the surface area of the prism is the sum of these
  surface area = total base area + total lateral area
    = 60 m² + 441.6² = 501.6 m²
When rounded to the nearest whole number, this is
  A) 502 m²
5 0
3 years ago
What is the slope of the line that passes through the points (-6, 8)and (-9, 7)?
Effectus [21]

Answer:

m= 1/3

Step-by-step explanation:

m = \frac{y2 - y1}{x2 - x1}

   = \frac{7 - 8}{-9 - (-6)} = \frac{-1}{-9 + 6} = \frac{-1}{-3} = \frac{1}{3}

7 0
2 years ago
14x^2 + 37x + 5....Richard is designing a new website for students to create study groups and collaborate with other students.
Furkat [3]
Answers:
1) The constant of the polynomial expression represents the:
number of group members when the site launches

2) The binomial (1+7x) is a factor of the polynomial expression and represents the:
number of members per group after x months

Solution:
1) The estimate for the total number of groups members (y) is given by the polynomial expression:
y=14x^2+37x+5
where x is the number of months since the site's launch.

When the site launchs:
x=0→y=14(0)^2+37(0)+5=14(0)+0+5=0+0+5→y=5
The number of group members when the site launches is 5
And the problem says: "The site will launch with five study groups"

2) The site will launch with five study groups, each with its creator as its only member, then the number of members per group is 1.
Richard estimates that seven new members will be added to each study group every month (x), then:
The number of members per group after x months will be: 1+7x

6 0
3 years ago
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