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3 years ago

Explain how to use ordered pairs of points f(x) and g(x) to determine if f(x) and g(x) are inverses of each other.

1 answer:

7 0

Whatever coordinates you have for f(x). Just switch the x coordinate with the y coordinate and thats the relation between f(x) and g(x) because they are inverses.

if on f(x) you have (2,4) then on g(x) you would have (4,2).

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Really need help with this .

lions [1.4K]

Answer:

Step-by-step explanation:

The attached photo shows the diagram of quadrilateral QRST with more illustrations.

Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)

The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT

Using sine rule,

q/SinQ = t/SinT = r/SinR

24/sin98 = QT/sin50

QT = r = sin50 × 24.24 = 18.57

Also

24/sin98 = QR/sin32

QR = t = sin32 × 24.24 = 12.84

Let us find area of triangle QRT

Area of a triangle

= 1/2 abSinC = 1/2 rtSinQ

Area of triangle QRT

= 1/2 × 18.57 × 12.84Sin98

= 118.06

Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12

6 0

3 years ago

Read 2 more answers

A student would write an equation such as 2x + 38 = 180 for which set of angles?

Rzqust [24]

Answer:

x=71

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If f(x) = 4x - 3, evaluate f(2).

hjlf

Answer: f(2) = 5

Explanation: If f(x) - 4x - 3, then f(2) = 4(2) - 3 which simplifies to 5.

8 0

3 years ago

-X² + 5x - 6 = 2<br> Using the quadratic formula

Ivenika [448]

$-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\$

↝ Form into $ax^2+bx+c = 0$ where a > 0 (Optional)

$x^2-5x+8=0$ ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

$x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\$

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

↝ Solution with Real Numbers System ↝ There are no real solutions.

↝ Solution with Complex Number System ↝

$x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}$

Therefore, the answer for Complex Number System is (5±√7i)/2

3 0

2 years ago

Rita is hiking along a trail that is 13.8 miles long. So far she has hiked along one-tenth of the trail.

vichka [17]

Rita has hiked 1.38 miles so far.

Step-by-step explanation:

Given,

Total length of the hiking trail = 13.8 miles

Distance covered by Rita so far = $\frac{1}{10}\ of\ the\ trail$

Distance covered in miles = $\frac{1}{10}*13.8$

Distance covered in miles = 1.38 miles

Rita has hiked 1.38 miles so far.

Keywords: fraction, division

Learn more about fractions at:

#LearnwithBrainly

4 0

3 years ago