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3 years ago

What is (2,4); slope =1/2

1 answer:

7 0

Use point slope form
y-4=1/2(x-2)
distribute 1/2 to x and -2
y-4=1/2x-2/2 which is just -1
so
y-4=1/2x-1
then add 4 to both sides
y-4=1/2x-1
+4 +4
y=1/2x+3

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Given GHI G (4,-3), H (-4,2), and I (2,4), find the perpendicular bisector of HI in standard form.

Olin [163]

Answer:

$3x+y=0$

Step-by-step explanation:

step 1

Find the slope of segment HI

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

H (-4,2), and I (2,4)

substitute the given points

$m=\frac{4-2}{2+4}$

$m=\frac{2}{6}$

simplify

$m=\frac{1}{3}$

step 2

Find the slope of the perpendicular line to segment HI

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=\frac{1}{3}$

$m_2=-3$

step 3

Find the midpoint segment HI

we know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

H (-4,2), and I (2,4)

substitute

$M(\frac{-4+2}{2},\frac{2+4}{2})$

$M(-1,3)$

step 4

we know that

The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI

Find the equation of the perpendicular bisector of HI in point slope form

$y-y1=m(x-x1)$

we have

$m=-3$

$M(-1,3)$

substitute

$y-3=-3(x+1)$

step 5

Convert to slope intercept form

$y=mx+b$

Isolate the variable y

$y-3=-3x-3$

$y=-3x-3+3$

$y=-3x$

step 6

Convert to standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

$y=-3x$

Adds 3x both sides

$3x+y=0$

see the attached figure to better understand the problem

3 0

4 years ago

Given f(x) = 52x, evaluate f-1), f(o), and K2).<br><br> 01/25, 1, 625

lbvjy [14]

Answer:

$f(-1) = \frac{5}{2}$

$f(0) = 5$

$f(2) = 20$

Step-by-step explanation:

Given

$f(x) = 5(2^x)$

Required

Determine f(-1); f(0) and f(2)

Solving f(-1)

In this case, we simply take x as;

$x = -1$

Substitute -1 for x in $f(x) = 5(2^x)$

$f(-1) = 5(2^{-1})$

Apply law of indices

$f(-1) = 5 * \frac{1}{2}$

$f(-1) = \frac{5}{2}$

Solving f(0)

In this case, we simply take x as;

$x = 0$

Substitute 0 for x in $f(x) = 5(2^x)$

$f(0) = 5(2^0)$

$f(0) = 5(1)$

$f(0) = 5$

Solving f(2)

In this case, we simply take x as;

$x = 2$

Substitute 2 for x in $f(x) = 5(2^x)$

$f(2) = 5(2^2)$

$f(2) = 5(4)$

$f(2) = 20$

4 0

4 years ago

Neeta plans to invest $20 at the end of every 6 months into an account that pays 17% interest compounded semi-annually. What is

astraxan [27]

The investment value will be $465.15.The amount he invested will be $200.

<h3>What is compound interest?</h3>

Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.

Money invest one time in six months = $20

Interest = 17%

Compounded type = semi-annually

The principal amount invested:

Money invested = $ 20 in 6 month

If he invests for 5 years, in 5 years there are 10 times she invests;

Investment(principal)=$ 20 × 10

Investment(principal)=$ 200

The compound interest:

$A= 200(1+\frac{0.17}{2})^2.5 \\\\ A=$ \ 452.2$

A =P+CI

452.2=200+CI

CI=252.2

The final balance is $452.2.

The total compound interest is $252.2.

Hence, the investment value will be $452.2.

To learn more about compound interest, refer to brainly.com/question/14295570.

#SPJ1

7 0

3 years ago

I am confused on how to solve this even though it is easy to do but I don’t get it

ira [324]

Which one? All Three you have a issue on?

Well hopefully the following helps...

4)

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C= 50(8)+25 (8 hours)

C= 50(10)+25 (10 hours)

5)
P(ounds) =25 (per week) + 100

400 =25(week) + 100 (how much for 400 pounds) minus both sides 100 then divide both sides by 25..your answer is 12 weeks on that.

6)

C(ost) = 30(x amount of units) + 20. Your Y is the cost.

3 0

4 years ago

Hi I need help on this ???

alina1380 [7]

2.)

a.)35.6%

b.)5.343

3.)

a.)24/100

b.)0.24

c.)24%

4 0

3 years ago