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lianna [129]
3 years ago
6

Pythagorean theorem If l = 12 cm and m = 35 cm, what is the length of n?

Mathematics
2 answers:
poizon [28]3 years ago
4 0
If n is the hypotenuse, then it is 37. L can't be the hypotenuse and if m is the hypotenuse then n is 32.878
Sveta_85 [38]3 years ago
4 0
According to pythagoras theorum ;

n² = 12² + 35²

n² = 144 + 1225

n² = 1369

Thus, n = √1369 = 37

Thus, n = 37.
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Which represents the solution set of 5(x+5) < 85?
Maru [420]

Answer:

\Huge \boxed{X

Step-by-step explanation:

To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, find represents the solution of 5(x+5)<85.

First, you divide by 5 from both sides.

\displaystyle \frac{5(x+5)}{5}

Solve.

\displaystyle 85\div5=17

\displaystyle x+5

Next, subtract 5 from both sides.

\displaystyle x+5-5

Solve.

\displaystyle 17-5=12

As a result, the correct answer is x<12.

<h2>Hope this helps! </h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>
3 0
3 years ago
If <br><br>f(x)=2(x-3)+4,<br><br>what is:<br><br>f(-2)​
Vlad1618 [11]

Answer:

f(-2) = -6

Step-by-step explanation:

2(-2-3) + 4

2(-5) + 4

-10 + 4

-6

3 0
3 years ago
A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?
SpyIntel [72]

Answer:

43.6 (approximately)

Step-by-step explanation:

Diagonal measures of the screen is,

√(35²+26²)

= √(1901)

= 43.6 (approximately)

Answered by GAUTHMATH

3 0
2 years ago
Read 2 more answers
Question 1 of 10
Archy [21]

Answer:

A. y = 7(x + 1)²-3

Step-by-step explanation:

Parabola:

y = 7x^{2} + 14x + 4

y = 7(x^{2} + 2x) + 4

Putting into vertex form, remember that:

(x + a)^{2} = x^{2} + 2ax + a^{2}

In this question:

x^{2} + 2x, to put into this format:

x^{2} + 2x + 1 = (x + 1)^{2}

We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then

Vertex form:

y = 7(x^{2} + 2x + 1) + 4 - 7

y = 7(x + 1)^{2} - 3

So the correct answer is:

A. y = 7(x + 1)²-3

3 0
3 years ago
Find all solutions to the equation sin2x+sinx-2cosx-1=0 in the interval [0, 2pi)
pshichka [43]
The solutions appear to be {π/2, 2π/3, 4π/3}.

_____
Replacing sin(2x) with 2sin(x)cos(x), you have
  2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
  sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
  (sin(x) -1)(2cos(x) +1) = 0

This has solutions
  sin(x) = 1
  x = π/2
and
  2cos(x) = -1
  cos(x) = -1/2
  x = {2π/3, 4π/3}

6 0
3 years ago
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