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2 years ago

What is the slope of the line that contains the points (-2,2) and (3,4)

Mathematics

1 answer:

malfutka [58]2 years ago

4 0

Answer: B. 2/5 *The answer must have a fraction.

Explanation:

Slope-intercept form: → $y=mx+b$

m: represents the slope and is constant.

b: represents the y-intercept.

Used rise/run.

$\frac{rise}{run}$

$x^1,y^1=(-2,2)$

$x^2,y^2=(3,4)$

You had to find the slope by using formula.

$Slope=\frac{y^2-y^1}{x^2-x^1}$

$\frac{4-2}{3-(-2)}$

subtract by the numbers and add the numbers too.

$\frac{4-2=2}{3-(-2)=3+2=5}$

$=\frac{2}{5}$

Hope this helps!

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

AVprozaik [17]

Answer:

The correct answer is Option 4: 12

Step-by-step explanation:

Given equation is:

$6-\frac{3}{4}x+\frac{1}{3} = \frac{1}{2}x+5$

We have to find a number that is common multiple of all the denominators or least common divisor

So to find the LCM

The numbers in denominator are: 4,3,2

So,

$4=> 4,8,12,16\\3 => 3,6,9,12,15\\2=> 2,4,6,8,10,12$

It can clearly be seen that 12 is the LCM of all three numbers so the equation will be multiplied with 12 to eliminate the fractions.

$12*6-12*\frac{3}{4}x+12*\frac{1}{3} =12* \frac{1}{2}x+12*5\\72-9x+4 = 6x+60$

Hence,

The correct answer is Option 4: 12

6 0

2 years ago

Tiffany's Furniture Store buys a table at a wholesale price of $103.00 If the markup rate at Tiffany's Furniture Store is 55% wh

Doss [256]

$103.00 x (0.55) = $56.65

answer

markup : $56.65

5 0

2 years ago

Read 2 more answers

What the answer to this

Viktor [21]

Answer: B) f(x)= 1/5 |x|
Used graphic calculator

8 0

2 years ago

Please help! ive been stuck on this for so long and i just keep getting frustrated can someone help walkme through this?

bagirrra123 [75]

For firework launched from height 100ft with initial velocity 150ft/sec, equation made is correct

(a) equation will be $h(t) = -16t^2+150t+100$

(b) Now we have to see when it will land. At land or ground level height h will be equal to 0. So simply plug 0 in h place in equation made in part (a)

$0 = -16t^2 + 150t + 100$

Now we have to solve this quadratic. We will use quadratic formula method to solve this equation.

$t = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$

a = -16, b = 150, c = 100.

Plugging these values in quadratic formula we get

$t = \frac{-150 \pm \sqrt{150^2-4(-16)(100)}}{2(-16)}$

$t = \frac{-150 \pm \sqrt{22500+6400}}{-32}$

$t = \frac{-150 \pm \sqrt{28900}}{-32}$

$t = \frac{-150+170}{-32} = \frac{20}{-32} = -0.625$

time cannot be negative so we will drop this answer

then $t = \frac{-150-170}{-32} = \frac{-320}{-32} = 10$

So 10 seconds is the answer for this

(c) To make table simply plug various value for t like t =0, 2, 4, 6, 8 till 10. Plug values in equation mad in part (a) and find h value for each t as shown

For t =0 seconds, $h = -16(0)^2+150(0)+100 = 100 feet$

For t =2 seconds, $h = -16(2)^2+150(2)+100 =336 feet$

For t =4 seconds, $h = -16(4)^2+150(4)+100 = 444 feet$

For t =6 seconds, $h = -16(6)^2+150(6)+100 = 424 feet$

For t =8 seconds, $h = -16(8)^2+150(8)+100 = 276 feet$

For t =10 seconds, $h = -16(10)^2+150(10)+100 = 0 feet$

(d) Axis of symmetry is given by formula

$x = \frac{-b}{2a}$

$t = \frac{-150}{2(-16)} =\frac{-150}{-32} = 4.6875$

t = 4.6875 is axis of symmetry line

(e) x-coordinate of vertex is again given by formula

$x = \frac{-b}{2a}$

so t = 4.6875

then to find y coordinate we will plug this value of t as 4.6875 in equation made in part (a)

For t =4.6875, $h = -16(4.6875)^2+150(4.6875)+100 = 451.563$

so vertex is at (4.6875, 451.563)

(f) As the firework is launched so in starting time is t=0, we cannot have time before t=0 (negative values) practically. Also we cannnot have firework going down into the ground so we cannot have h value negative physically.

6 0

2 years ago

PLEAS4EE!! 180°- 125° 15'=

boyakko [2]

Answer:

180.25°

Step-by-step explanation:

AND DANG U SO CUTE!!!!

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2 years ago