All categories

3 years ago

Input in stand form the equation of the given line.

Mathematics

1 answer:

Daniel [21]3 years ago

8 0

Answer:

3x +8y = -17

Step-by-step explanation:

The point-slope equation is a good place to start.

y -k = m(x -h) . . . . . equation through (h, k) with slope m

Filling in your numbers gives ...

y +4 = -3/8(x -5)

Multiplying by 8, we get

8y + 32 = -3x + 15

Adding 3x-32 puts this in standard form.

3x + 8y = -17

_____

Standard form is ...

ax +by = c

where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)

You might be interested in

What is the inverse matrix that can be used to solve this systems of equations

Gala2k [10]

Step-by-step explanation:

The answer is OPTION C

Find the Inverse of a 3x3 Matrix.

First

Find the Determinant of A(The coefficients of e

Proceed towards finding the CO FACTOR of the 3x3 Matrix.

+. - +

A= [ 1 -1 -1 ]

[ -1 2 3 ]

[ 1 1 4 ]

The determinant of this is 1.

Find the co factor

| 2 3 | |-1 3 | |-1 2 |

| 1. 4. | |1 4 | |1. 1 |

|-1. -1 | |1 -1 | |1 -1

| 1. 4 | |1. 4| |1 1|

|-1. -1 | |1 -1 | |1. -1

|2. 3| |-1. 3| |-1 2|

After Evaluating The Determinant of each 2x 2 Matrix

You'll have

[ 5 7 -3]

[3 5 -2 ]

[-1 -2 1]

Reflect this along the diagonal( Keep 5,5 -2)

Then switching positions of other value

No need of Multiplying by the determinant because its value is 1 from calculation.

After this

Our Inverse Matrix Would be

[ 5 3 -1 ]

[7 5 -2 ]

[ -3 -2 1]

THIS IS OUR INVERSE.

OPTION C

5 0

2 years ago

What is the y - intercept of y-8 = 2x *

Zielflug [23.3K]

Answer:

(0,8)

Step-by-step explanation:

First, we must arrange this equation into slope-intercept form, or y=mx+b form.

Equation: y-8=2x

Add 8 to both sides: y=2x+8

Now that the equation is in slope-intercept form, it is easy to find the y-intercept, as it is just the b-value.

In this case, the b-value is 8, so the y-intercept is (0,8).

Let me know if this helps!

5 0

2 years ago

Read 2 more answers

Makovka662 [10]

Answer:

Option A ( -3/2 , $\frac{-3\sqrt{3} }{2}$ )

Step-by-step explanation:

According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .

Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation

Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)

(For Diagram, Please Find in attachment)

Now In Triangle OAB

Cos60* = OA / OB

1/2 = -X / 3 Thus X= -3/2

Sin60* = AB / OB

$\sqrt{3}$ /2 = -Y / 3 Thus Y = - $\sqrt{3}$ * 3 /2

6 0

3 years ago

Please help me lol (quadratics unit on khan)

EastWind [94]

Answer:

(2-x)^2 sorry if that’s wrong

Step-by-step explanation:

sorry

5 0

3 years ago

Calculate the following expressionusing the order of operations. show all steps( do not combine more than two numbers together a

Neko [114]

Answer: $204\frac{2}{5}$

Step-by-step explanation:

Given the following expression:

$(\frac{7}{15}+\frac{125}{9})^2-16(\frac{0.25}{2})$

You can follow these steps in order to solve the exercise:

1. You need to solve the operations inside the parentheses:

- Add the fractions. Since they have different denominators, you have to find the Least Comon Denominator (LCD):

$15=3*5\\9=3*3=3^2\\LCD=5*3^2=45$

- Solve the division divididing the numerator 0.25 by the denominator 2.

Then, you get:

$(\frac{(3)(7)+(5)(125)}{45})^2-16(\frac{0.25}{2})\\\\(\frac{646}{45})^2-16(0.125)$

2. Solve the exponent:

$\(\frac{417,316}{2,025}-16(0.125)$

3. Solve the multiplication:

$\(\frac{417,316}{2,025}-2$

4. Solve the subtraction:

$\(\frac{417,316-(2,025)(2)}{2,025}=\frac{413,266}{2,025}\approx204.08$

5. Since :

$0.8=\frac{2}{5}$

You can write the result as a mixed fraction:

$=204\frac{2}{5}$

7 0

3 years ago