MATHEMATICS HIGH SCHOOL

If a/4 = 9/a, then
a²=36
4a = 9a
a + 4 = 9 + a
a - 4 = 9 - a

Answers

Answer 1
Answer:

Answer:

Option A is correct.

The given expression : (a)/(4) = (9)/(a) then;

a^2 = 36

Step-by-step explanation:

Given the expression: (a)/(4) = (9)/(a)

Cross multiplication the given expression following steps are as follow;

  • Multiply  numerator of the left-hand fraction by the denominator of the right-hand fraction
  • Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
  • then, set the two products equal to each other.

Using cross multiplication, on the given expression;

(a)/(4) = (9)/(a)

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

(a * a)/(4) = 9

Simplify:

(a^2)/(4) =9                              [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

a^2 = 9* 4

Simplify:

a^2 = 36

Therefore, the given expression is equal to: a^2 = 36
Answer 2
Answer: The answer is a²=36

(a)/(4) = (9)/(a)
Multiply both sides of the equation by 4a:
4a*(a)/(4) =4a* (9)/(a) \n a*a=4*9 \n a^(2) =36

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Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π?

Answers

recall that to get the x-intercepts, we set the f(x) = y = 0, thus

\bf \stackrel{f(x)}{0}=-4cos\left(x-(\pi )/(2) \right)\implies 0=cos\left(x-(\pi )/(2) \right)\n\n\ncos^(-1)(0)=cos^(-1)\left[ cos\left(x-(\pi )/(2) \right) \right]\implies cos^(-1)(0)=x-\cfrac{\pi }{2}\n\n\nx-\cfrac{\pi }{2}=\begin{cases}(\pi )/(2)\n\n(3\pi )/(2)\end{cases}

\bf -------------------------------\n\nx-\cfrac{\pi }{2}=\cfrac{\pi }{2}\implies x=\cfrac{\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{2\pi }{2}\implies \boxed{x=\pi }\n\n-------------------------------\n\nx-\cfrac{\pi }{2}=\cfrac{3\pi }{2}\implies x=\cfrac{3\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{4\pi }{2}\implies \boxed{x=2\pi }

Whats the answer to this equation 3g+5=17

Answers

3g+5=17 \ \ |-5\n \n3g+5-5=17-5\n \n3g=12 \ \ /:3 \n \ng=(12)/(3)\n \n g=4
3g + 5 = 17

thus, 3g = 17 - 5 = 12

thus, 3g = 12

thus, g = 12/3 = 4.

Thus, g = 4.

( x − 3 )^2 as trinomial in standard form

Answers

Given (x - 3)^2, its trinomial in standard form, y = ax^2 + bx + c:

You must expand the binomial through FOIL method:

(x - 3)^2
x ^2 - 3x - 3x + 9

Combine like terms:

y = x^2 - 6x + 9
where a = 1, b = -6, and c = 9.

Please mark my answer as the Brainliest, if you find this solution helpful :)

Answer:

x^2 - 6x + 9

Step-by-step explanation:

the coordinates of a point on a coordinate grid are (−1, 5). the point is reflected across the x-axis to obtain a new point. the coordinates of the reflected point are (1, −5) (−1, 5) (1, 5) (−1, −5)

Answers

Hello,

Answer D (-1,-5)
==============

Answer:

D 1,5 is the answer

Step-by-step explanation:

HELP PLSS I WILL GIVE U MANY POINTS!Question 27 options:
If the side lengths of a square are increased by 300%,

a) How many times as large are the enlarged square's sides compared to the sides of the original, smaller square?

Answers

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The sum of the first 65 odd, positive integers is?I know the answer is 4225, but I don't know how to solve.

Answers

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