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2 years ago

Find the equation of the line with slope = -2 and passing through (3,2). Write your equation in the form

Mathematics

1 answer:

horrorfan [7]2 years ago

3 0

Answer:

Step-by-step explanation:

y - 2 = -2(x - 3)

y - 2 = -2x + 6

y = -2x + 8

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Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)

shepuryov [24]

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at ( $x_1,y_1$ ) and ( $x_2,y_2$ ) is given as (x, y). The location of x and y are:

$x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

$0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10$

Hence the endpoint is at (x2, y2) which is at (-9, 10)

5 0

3 years ago

With a detailed explanation from the internet 1/(x-5)+3/(x+2)=4

irga5000 [103]

Answer:

$\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}$

Explanation:

$\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4$

make the denominators same

$\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4$

join the fractions together

$\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4$

cross multiply

$\rightarrow \sf x+2+3x-15=4(x-5)(x+2)$

simplify

$\rightarrow \sf 4x-13=4x^2-12x-40$

group the variables

$\rightarrow \sf 4x^2-16x-27 = 0$

use quadratic formula

$\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}$

simplify the following

$\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}$

7 0

1 year ago

Read 2 more answers

Please help me i can't seem to get it

olchik [2.2K]

Answer C

Step-by-step explanation:

7 0

2 years ago

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Greg the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot

MA_775_DIABLO [31]

This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12

To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5

Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours

For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours

Hence, each workout plans are done within 3/4 hours (or 45 minutes).

4 0

2 years ago

A daycare center charges a $75 enrollment fee plus $100 per week. Which of the following represents the cost of sending a child

Lorico [155]

Answer:

$1,475

Step-by-step explanation:

times 100 by 14 which is 1400

but then add 75 onto that

3 0

2 years ago

Read 2 more answers