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zhannawk [14.2K]
3 years ago
15

Write an equation in point-slope form and slope-intercept form for each line.

Mathematics
1 answer:
Kobotan [32]3 years ago
7 0

A: Slope-intercept form: y = 2 x − 1 Point-slope form: y − 7 = 2 ⋅ ( x − 4 )

B: Slope-intercept form: y = 4 x + 7 Point-slope form: y + 1 = 4 ⋅ ( x + 2 )

C: Slope-intercept form: y = 1/2 x − 8 Point-slope form: y + 4 = 1/2 ⋅ ( x − 8 )

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What volume in liters would be occupied by 21753mg of a material with density of 1.935 g/mL
REY [17]

Answer:

0.0112 liters to the nearest ten thousandth.

Step-by-step explanation:

Density = mass / volume

So volume = mass / density.

Mass = 21753 mg = 21753 / 1000 = 21.753 g.

Density = 1.935 g/mL = 1.935 * 1000 = 1,935 g/L.

Volume in liters =  21.753 / 1,935

= 0.0112 liters to the nearest ten thousandth.

3 0
3 years ago
Solve the system by finding the determinants and using Cramer's Rule:2x - y = 43x + y = 1D= 10, Dx = 10, Dy=-20Answer: (1, -2)D
Nonamiya [84]

Find out the determinant

we have

2x-y=4

3x+y=1

so

D=(2)(1)-(-1)(3)

D=2+3

D=5

therefore

<h2>the answer is the second option</h2><h2>Verify</h2>

solution (1,-2)

equation 1 -------> 2(1)-(-2)=4 -------> 4=4 is true -----> is ok

equation 2 ------> 3(1)-2=1 -----> 1=1 ----> is true -----> is ok

7 0
1 year ago
Martin's unpaid credit card balance was $1539.39. his APR is 13.2%. what is his new balance after he makes one new transaction f
irinina [24]
Given that <span>Martin's unpaid credit card balance was $1539.39 and his APR is 13.2%.

APR is the annual interest rate, to get the monthly interest rate, we divide the APR by 12.

Thus, monthly interest rate is </span>i= \frac{13.2\%}{12} =1.1%

The interest charge for the month is given by I=Pi, where P is the previous balance, i is the monthly interest rate.

Thus, interest charge is I=1,539.39(0.011)=1,539.39(0.011)=\$16.93

The balance after the monthly interest charge = $1,539.39 + $16.93 = $1,556.32

Therefore, the balance after the new transaction is given by $1,556.32 + $178 = $1734.32
4 0
3 years ago
Y - 3 = -2 ( x + 5 ) in standard form
agasfer [191]

Answer:

2x + y = -7

Step-by-step explanation:

Standard form is Ax + By = C

A represents the coefficient with x

B represents the coefficient with y

C represents the constants

1 - Rewrite to make it easier to work it out

y - 3 = -2 ( x + 5 )

2 - Distribute

y - 3 = -2x - 10

3 - Get the variables on one side and the constants on the other

y - 3 = -2x - 10

+ 2x  + 2x

2x + y - 3 = -10

         + 3   + 3

2x + y = -7

Hope this helps,

7 0
3 years ago
What value is added to both sides of the equation x^2 − 6x = 10 in order to solve by completing the square? (1 point)
snow_lady [41]

Answer:

9

Step-by-step explanation:

use half the x coefficent and square it

x^2 − 6x + (-3)^2 = 10 + (-3)^2

x^2 - 6x + 9 = 10 + 9

(x - 3)^2 = 19

7 0
3 years ago
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