Please HELP!!! I need the answer right away!Two lines intersect at a point. The vertical angles formed are supplementary. What is the measure of each of the angles? Explain.

Answers

Answer 1

Answer: if they are supplementary, it will equal 180 degrees together.

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Find the range values of which x*x-5x+6<0

Answers

Answer:between 2 and 3, not including. Interval notation: (2,3)

Step-by-step explanation:

Factor: x^2 -5x + 6 —> (x-3)(x-2)<0

Change sign to = and solve: x = 2 , 3

these are the x intercepts, the equation is not reflected over the y axis so we know the rest of the arc of the parabola is between 2 and 3

6x-5y=22 y=-8 using systems of equations by substitution

Answers

We need to sub y=-8 into the first equation
6x+40=22
6x=-18
x=-3

$\left \{ {{6x-5y=22} \atop {y=-8}} \right. \n\n substitute\ y=-8\ into\ first\ equation\n\n6x-5*(-8)=22\n\n6x+40=22\ \ \ | subtract\ 40\n\n6x=-18\ \ \ | divide\ by\ 6\n\nx=-3\n\ny=-8$

Brandon and Jerry like to play video games. Brandon has vv video games, and Jerry has 29 video games. Together they have a total of 73video games.

Answers

Brandon has 44 games

Find the arithmetic combination of f(x) =x+2, g(x)=x-2

Answers

Answer:

The arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4, (f $*$ g)(x) = $\mathrm{x}^(2)-4$ , $\left((f)/(g)\right)(\mathrm{x})=(x+2)/(x-2)$

Solution:

Given, two functions are f(x) = x + 2 and g(x) = x – 2

We need to find the arithmetic combinations of given two functions.

Arithmetic functions of f(x) and g(x) are (f + g)(x), (f – g)(x), (f $*$ g)(x), $\left((f)/(g)\right)(\mathrm{x})$

Now, (f + g)(x) = f(x) + g(x)

= x + 2 +x – 2

= 2x

Therefore (f + g)(x) = 2x

similarly,

(f - g)(x) = f(x) - g(x)

= x + 2 –(x – 2)

= x + 2 –x + 2

= 4

Therefore (f - g)(x) = 4

similarly,

(f $*$ g)(x) = f(x) $*$ g(x)

= (x + 2) $*$ (x – 2)

= x $*$ (x – 2) + 2 $*$ (x -2)

$=x^(2)-2 x+2 x-4$

$=x^(2)-4$

Therefore (f $*$ g)(x) = $x^(2)-4$

now,

$\left((f)/(g)\right)(\mathrm{x})=(f(x))/(g(x))$

$=(x+2)/(x-2)$

$((f)/(g))(x)$ = $(x+2)/(x-2)$

Hence arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4, (f $*$ g)(x) = $\mathrm{x}^(2)-4$ , $\left((f)/(g)\right)(\mathrm{x})=(x+2)/(x-2)$

If u have 20.00 dollars and the discount is 10% off , how much money will be off

Answers

10% = 0.10

20 * 0.10 = 2

Discount: $2.00
Final Price: $18.00

$10\%\cdot20.00=0.10\cdot20.00=2.00\n\nAns.\ 2.00$

A vehicle moving at a constant speed travels 45 miles in 3/4 hour. The driver thinks he will be late to a meeting that is still 65 miles away and that starts in 1.25 hours. Assume he maintains a constant speed. Find the driver's unit rate of speed and explain whether he was late or not. I REALLY need help!

Answers

ok so
speed=distance/time

find his speed in miles per 1 hour

3/4=0.75
s=d/t
s=45/0.75
s=60/1
s=60mph

starts in 1.25 hours
if he takes all that time, will he be late, on time, or early

multiply
60mph
1.25 hours
60 times 1.25=75
in 1.25 hour he can travel 75miles

he needs to only travel 65
75>65
he will make it
not late, he is early

1) we calculte the driver´s unit rate of speed.
s=speed
d=distance
t=time.

s=d/t

45 miles------------------3/4 hour
x----------------------------- 1 hour

x=(45 miles * 1 hour) / (3/4 hour)=60 miles.

speed or rate=60 miles / 1 hour.

2)we calculate the distance traveled at 1.25 hour.

distance=rate * time

distance=(60 miles /1 hour) * 1.25 hour=75 miles.

Answer: the driver would´t go late, because, the distance is 65 miles, and he can travel 75 miles if he drive with that speed .

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