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Ostrovityanka [42]
2 years ago
13

Solve for k. k/2 +1/2=3

Mathematics
1 answer:
ikadub [295]2 years ago
7 0

Answer:

k = 5

Step-by-step explanation:

Solve for k :

\frac{k}{2} + \frac{1}{2} = 3

-Multiply both sides of the equation by the denominator 2 :

2 \times \frac{k}{2} + \frac{1}{2} = 3 \times 2

k + 1 = 6

-Subtract both sides by 1:

k + 1 - 1 = 6 - 1

k = 5

So, the value of k is 5.

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Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.

Step-by-step explanation:

i) to find the area of a circle or circumference the radius , r, is required.

ii) if we are given the diameter, d. then we have to find the radius, r, by dividing the diameter by 2, that is d  = \frac{r}{2}.

iii) area of the circle is given by A = \pi r^{2}

iv) circumference of the circle is given by C = 2\pi r

Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.

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Each side of a square calendar is 6 inches long. What is the calendar's area?
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The distance between the points (4, 5) and (2, 2)
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Step-by-step explanation:

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2 years ago
A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time
FinnZ [79.3K]

If the ball was thrown straight up at 24 ft/sec when it was 5 ft above the ground, the ball reached a maximum height of 7.25 m

\texttt{ }

<h3>Further explanation</h3>

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

<h2>D = b² - 4 a c</h2>

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

\texttt{ }

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = \frac{-b}{2a} } }

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

p(t) = 3gt^2 + v_ot + p_o

p(t) = 3(-32)t^2 + 24t + 5

p(t) = -64t^2 + 24t + 5

<u>Asked:</u>

p_{max} = ?

<u>Solution:</u>

<em>At the maximum height , velocity is 0 m/s:</em>

v = \frac{dp(t)}{dt}

v = \frac{d}{dt} ( -64t^2 + 24t + 5 )

v = (-64)(2)t^{2-1} + 24

v = -128t + 24

0 = -128t + 24

128t = 24

t = 24 \div 128

t = 3 \div 16

t = 0.1875 \texttt{ s}

\texttt{ }

p(t) = -64t^2 + 24t + 5

p(0.1875) = -64(0.1875)^2 + 24(0.1875) + 5

p(0.1875) = 7.25 \texttt{ m}

\texttt{ }

<h3>Learn more</h3>
  • Solving Quadratic Equations by Factoring : brainly.com/question/12182022
  • Determine the Discriminant : brainly.com/question/4600943
  • Formula of Quadratic Equations : brainly.com/question/3776858

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

\texttt{ }

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

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Answer:

(8y+17)=(6x-7), now solve and

(3x-29)+(8y+17), now solve and yes,, plzz can you give one brainliest

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