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EastWind [94]
2 years ago
10

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mathematics
2 answers:
sergiy2304 [10]2 years ago
7 0

Answer:

The hypotenuse is 26 units

Step-by-step explanation:

<u>Step 1:  Determine the value of x</u>

Pythagorean theorem:  a^2 + b^2 = c^2

(24)^2+(10)^2=c^2

576 + 100 = c^2

676 = c^2

26 = c

Answer: The hypotenuse is 26 units

ser-zykov [4K]2 years ago
5 0

Answer:

  x = 26

Step-by-step explanation:

The length marked x is the hypotenuse of a right triangle with legs 10 and 24. The Pythagorean theorem can be used to find the value of x.

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:

  x² = 10² +24²

  x² = 100 +576 = 676 . . . . simplify

  x = √676 . . . . . . . take the square root

  x = 26

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The perimeter of a rectangular field is 302 yards. If the width of the field is 65 yards, what is its length?​
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Step-by-step explanation:

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302= 65(2) + 2(L)

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Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7
marusya05 [52]

Answer:

  • -3x² -5x -1 = 0
  • -3 (quadratic)
  • -5 (linear)
  • -1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

  -3x² -8 -(5x -7) = 5x -7 -(5x -7)

  -3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

  -3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

  -3x² -5x -1 = 0

<h3>Coefficients</h3>

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

__

<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

  3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

8 0
2 years ago
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