which is an equation of the line passing through ( -2,3) and perpendicular to the line 5x-y=12

Answer:

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

This shows that both functions have the same slope.

Answer:

27m3- is the answer equals to 8n 3

Answer:

see below

Step-by-step explanation:

1/12 - 5/6 = -9/12

We need to get a common denominator of 12

1/12 - 5/6*2/2 = -9 /12

1/12 - 10/12 = -9/12

Since the denominators are the same, we can subtract the numerators

1-10 = -9

-9/12 = - 9/12

We can simplify -9/12 by dividing the top and bottom by 3

-9/3 = -3

12 /3 = 4

-9/12 = -3/4

Answer:

see below

Step-by-step explanation:

1/12 - 5/6 = -9/12

1st, we need to identify the Least Common Multiplier of 12 and 6

in this case, the LCM is 12

for 5/6 = (5*2) / (6*2) = 10/12

2nd, adjust the fractions based on the LCM

= 1 / 12  -  10 / 12

= 1 - 10 / 12

= -9 / 12 ---- simplify   -3 / 4

Answer:

d=126 degrees

z=28 units

Answer:

The length of the frame is 17

Step-by-step explanation:

The computation of the length of the frame is shown below:

As we know that

The perimeter of a rectangle is

= 2 (length + width)

where,

let us assume the width be x

So, the length is x - 6

And, the perimeter is 80 yards

So, now put these values to the above formula

80 yards = 2 (x - 6+ x)

80 yards = 2 (2x - 6)

80 yards = 4x - 12

92 = 4x

x = 23

So, the length of the frame is

= 23 - 6

= 17

Answer:

4 is twice a number of 2 so the answer would be 14

Step-by-step explanation:

Answer:

D: an endpoint at one end and an arrow on the other or answer hope this helped,

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A line segment has an endpoint at both ends. A has arrows at both ends.A ray has a endpoint at one end and an arrow at the other.

Answer:

The answer is

2.4z+1.2z=0.7+6.5.

3.6z=7.2.

z=7.2/36.

z=2

Answer:

The exact answer is 10 pi km

Step-by-step explanation:

The circumference of a circle is given by

C = pi * d

C = pi * 10

C = 10 pi

The exact answer is 10 pi km

Answer:

circumference formula=2pi r

finding radius using diameter

r=d/2

r=10km/2

r=5km

now putting the value of r in circumference formula

c=2 pi r

c=2×3.14×5km

c=31.4km

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

10x+8=3x-6

subtract 10x-3x

7x+8= -6

subtract -6-8

7x=-14

divide 7 into -14

x = -2

Hope this helps!

Answer:

B

Step-by-step explanation:

The equation of a horizontal line is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (- 3, 8 ) with y- coordinate of  8, thus

y = 8 ← equation of horizontal line

Answer:

Cost for 35 songs:  1(35)+11=46

Cost for s songs:  1s+11

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = (5,-5)

B = (-1,-5)

AB = (5 - - 1) + (-5 - - 5)

AB = 6

=================

Mid Point CD

C = - 3,4

D = 6,3

Midpoint = (-3 + 6)/2 , (4+3)/2

Midpoint = 3/2, 7/2

Midpoint = 1.5, 3.5

Answer:

The subset of rational numbers

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b where ad b are integers. The number [tex]1.\overline5[/tex] is a number with a recurring decimal of 5 and every recurring decimal can be expressed in the form a/b where a and b are both integers therefore, every number with recurring decimal is a rational number.

In the question,  [tex]1.\overline5[/tex]  can be written as follows;

[tex]1.\overline5 = \dfrac{14}{9}[/tex] or [tex]1.\overline5 = 1\dfrac{5}{9}[/tex].

Answer:

x=-15

Step-by-step explanation:

4x-3x=9-24

1x=-15

x=-15

Answer:

$37.60

Step-by-step explanation:

If 7 shirts = 32.90 then (32.90/7) x 8 = 37.60

Answer:

1290

Step-by-step explanation:

15 x 86 = 1290

Answer:

5x^2 + -3

Step-by-step explanation:

For this problem, we will simply simplify the expression by combining like terms.

(-3x^3 - 7x^5 - 3) + (5x^2 + 3x^3 + 7x^5)

= 7x^5 + -7x^5 + 3x^3 + -3x^3 + 5x^2 + -3

= 0 + 0 + 5x^2 + -3

= 5x^2 + -3

Thus, the simplified expression is 5x^2 + -3.

Cheers.

Answer:

- 56

Step-by-step explanation:

JT = CJ + CT

4x + 2 = 8x + 5 + 55

4x + 2 = 8x + 60

4x - 8x = 60 - 2

- 4x = 58

x = 58/-4

x = -29/2

x = - 14.5

JT = 4x + 2 = 4(-14.5) + 2 = - 58 + 2 = - 56

Answer:

[tex]\huge \boxed{s^{-28} }[/tex]

Step-by-step explanation:

[tex]s^{-4} \cdot s^{-24}[/tex]

Applying exponent rule : [tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]s^{-4} \cdot s^{-24} = s^{-4+-24}=s^{-28}[/tex]

Answer:

The building to the left is taller.

Step-by-step explanation:

Building on right:

tan 40° = a/56

a = 56 tan 40° = 46.99

Building on left:

tan 50° = b/49

b = 49 tan 50° = 58.40

The building to the left is taller.

Greetings from Brasil...

Be that unknown number X

Then we can write the following expression:

X + 4.7 = 8.1

Answer:

-1.5

Step-by-step explanation:

1,5-2=-.5

-.5*2=-1.5

Answer:

4(5+3)

Step-by-step explanation:

I just did this question and I got it correct trust me ;)

Answer:

4(5 + 3)     (C or 3)

Step-by-step explanation:

Edge 2020

Answer:

To solve square root equations, isolate the radical on one side of the equation. Then, raise both sides of the equation to the same power.

Source:

www.basic-mathematics.com/how-to-solve-radical-equations.html

Hope this helps!

Answer:

y=15+-6x

Step-by-step explanation:

y = -6x + 15

Reorder the terms:

y = 15 + -6x

Solving

y = 15 + -6x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 15 + -6x

Step-by-step explanation:

[tex]6x - 15 = y \\ 6x = y + 15 \\ \frac{6x}{6} = \frac{y + 15}{6} \\ x = \frac{y + 15}{6} \\ x = \frac{y}{6} + \frac{5}{2} [/tex]

Answer:

Step-by-step explanation:

We are given that the factory produces  42,000  computer monitors per day

And the claim is of this amount produces fewer than 660 are defective.

a random sample shows that of 240 monitors 2 are defective

to verify the factory managers claim we need to know how many 240s are there in 42000

=42000/240= 175

Since each 240 will give 2 defective monitors

175 will give= 175*2= 350

350 is less than 660 hence the managers claim is correct

Answer:

C

Step-by-step explanation:

use inverse operation to solve an equation

x + 7 = 13

x = 6

Step-by-step explanation:

Density = Mass ÷ Volume

= 6 ÷ 3

= 2g/cm³

Answer : 2g/cm³