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Step2247 [10]
3 years ago
6

BRAINIEST FOR CORRECT ANSWER!! :))) ——————-

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
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For questions 3 - 5, answer the questions about the equations.
mrs_skeptik [129]

Answer:

  infinite solutions

Step-by-step explanation:

Eliminate parentheses and collect terms:

  3x -12 +5 -x = 2x -7

  2x -7 = 2x -7

This is true for any value of x. There are an infinite number of solutions.

6 0
3 years ago
A ball is thrown from a height of 139 feet with an initial downward velocity of 15 ft/s. The ball's height h (in feet) after t s
ella [17]

Answer:

t = 2.52 seconds

Step-by-step explanation:

h=139-15t-16t^2

We want to know when the ball hits the ground

That would be when h=0

0 = 139-15t-16t^2

We can use the quadratic formula to find t

t = -b ± sqrt(b^2-4ac)

       ----------------------

          2a

where a = -16   b = -15  and c = 139

t = -(-15) ± sqrt((-15)^2-4(-16)139)

       ----------------------

          2(-16)

t = (15) ± sqrt(225+8896)

       ----------------------

          -32

t = (15) ± sqrt(9121)

       ----------------------

          -32

t = 15+ sqrt(9121)                       t = 15- sqrt(9121)

     --------------------   or                    -------------------  

           -32                                               -32

        -3.453247707        or              2.515747707

Since time cannot be negative

 2.515747707

Round to the nearest hundredth

t = 2.52 seconds

6 0
3 years ago
PLEASE PLEASE HELP PLEASE
kogti [31]

Answer:

r = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² = PQ² + QR² , substitute values

(r + 4)² = r² + 8²

r² + 8r + 16 = r² + 64 ( subtract r² from both sides )

8r + 16 = 64 ( subtract 16 from both sides )

8r = 48 ( divide both sides by 8 )

r = 6

3 0
2 years ago
The point G(-5, -4) is translated 1 unit left. What are the coordinates of the resulting point, G′?
Lady bird [3.3K]
Worksheet? I need more information on this topic
7 0
3 years ago
Read 2 more answers
Given f(x) = 4(1 – x), what is the value of f(-10)
Lubov Fominskaja [6]

Answer:

44

Step-by-step explanation:

The function formula is given as

f(x) = 4(1 – x)

To find the f(-10) we will substitute into the function formula, then we have

f(-10)= 4[1-(-10)]

=4[11]

=44

Hence, the value of f(-10)= 44

8 0
3 years ago
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