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answers :
10^21
10^42
24^21
24^42

This is equivalent to y = 3x+4 (slope intercept form)

By "standard form", I mean the form Ax+By+C = 0.

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Explanation:

Let's solve the first equation for y

x+3y-4 = 0

x+3y = 4

3y = 4-x

3y = -x+4

y = (-x+4)/3

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

y = (-1/3)x + (4/3)

The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.

Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.

So this mystery perpendicular line we're after has a slope of 3.

It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.

2x+5y-20 = 0

2(0)+5y-20 = 0

5y-20 = 0

5y = 20

y = 50/5

y = 4

The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.

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We found that:

So we know that,

y = mx+b

y = 3x+4

is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well

y = 3x+4

y-3x = 4

-3x+y = 4 .... one way to express standard form

-3x+y-4 = 0 .... another standard form

Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.

Answer:

14 sq units

Step-by-step explanation:

2 units by 7 units is 14 square units

Answer:

v = - 2

Step-by-step explanation:

Given

- 12 = 2 + 5v + 2v ( subtract 2 from both sides )

- 14 = 7v ( divide both sides by 7 )

- 2 = v

Answer:

24.

Step-by-step explanation:

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 24.

Answer:16 cents

Step-by-step explanation:

Given :

A cuboid shaped tank with sides 3.2 cm , 2.8 cm and 1.6 cm.

To Find :

The volume of the tank.

Solution :

We know, volume of a cuboid is given by product of its sides or :

[tex]V = l\times b \times h\\\\V = 3.2 \times 2.8 \times 1.6 \ cm^3\\\\V = 14.336 \ cm^3[/tex]

Therefore, the volume of the tank is 14.336 cm³ .

Answer:

30 in 2

Step-by-step explanation:

What is the area of the figure below?

Answer:

15 = t

Step-by-step explanation:

3 = t - 12

3 + 12 = t

15 = t

Answer:

C:15 if were going off t

Step-by-step explanation:

if you switch around the equation a bit you get t-12=3 now what number minus 12 equals three thats what your trying to find so the only logical answer is C because 15-12=3 so t=15

Answer:

24km²

Step-by-step explanation:

12-4 is 8 and if you visualize the triangle being put on top of the other triangle it makes a complete rectangle in which you multiple 8 time 3 to get 24 km²

Answer:

24 km²

Step-by-step explanation:

12 - 4 = 8

8 ÷ 2 = 4

4 · 3 = 12

12 ÷ 2 = 6

4 · 3 = 12

6 km² + 12 km² + 6 km²

24 km²

Answer:

When you multiply a number by a fraction, the number always decreases. When you multiply a number by 1/2, it's always half of the original number

Step-by-step explanation:

For example, take 4 x 1/2. It can be written as four halves. What do we get when we add four halves together?

1/2 + 1/2 + 1/2 + 1/2 = 2!

2 is less than 4. It is also half of the number four

Answer:

Perimeter = 12+4pi

Area = 16+8pi

Step-by-step explanation:

Description of the assumed shape:

A rectangle 2 x 8 superimposed on a semi-circle of radius 4.

Perimeter:

P = 2+8+2+(4)(pi) = 12+4pi

Area :

A = 2*8 +(pi)4^2/2 = 16 + 8pi

GIVEN: Here given that f(x)=g(x)

TO FIND: We need to find by the given relation what f(x) and g(x) represents.

SOLUTION:

f(x) is a function of x.

Also, g(x) is function of x.

The are holding the relation of equality that means

graphically we get a curve or a conic section by it.

Algebraically it gives the values of x.

Answer:

Option 3.)    f(-3) = g(-3), since that x-value of the point of intersection

Hope this helps!

Answer:

179

Step-by-step explanation:

Step 1: Subtract the lesser amount from the larger amount

[tex]625 - 446 = 179[/tex]

Therefore, Mia has 179 more stamps than Paul

Answer:

A

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the other 3 arent right cause they arent shown in the dictionary enry

Answer: 67 + x = 180

Step-by-step explanation:

Since the angles are supplementary, together they'd add up to 180. Since we do not know the degrees of Angle 2, we arrange x in the equation.

Hope this helps you! Good luck! <3

Answer:

D

Step-by-step explanation:

Answer: Choice B

y=1.0x+10

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Explanation:

Without the actual (x,y) coordinates for each point, it's nearly impossible to get the answer. However, we can note that the blue regression line is intersecting the y axis at y = 10 (or around there). So its very likely that the answer is y=1.0x+10 which is choice B

The equation y=1.0x+10 is in the form y = mx+b with,

The next best answer is y = -0.8x+12, since 12 is fairly close to 10. The y intercept portion isn't fully shown but again it appears the blue line is crossing at y = 10.  

Answer:

x < -4

I have attached the graph of the equation below and it looks exactly the same to the graph given!

Hope this helps!

Here is the graph of the equation above:

We'll be using the Pythagoras property to solve this question.

According to the Pythagoras property,

H denotes hypotenuse

B denotes base

P denotes perpendicular

Here,

→ (x)² = (35 cm)² + (12 cm)²

→ x² = 1225 cm² + 144 cm²

→ x² = 1369 cm²

→ x = √(1369 cm²)

→ x = 37 cm

Therefore, value of x is 37 cm.

Answer:

Step-by-step explanation:

-4(1)^2 + 15(1)^2 =5

-4 + 15 = 5

since the equation is false,   15-4  does not equal 5  , then something has been left off the equation.      look carefully , did you forget anything?  

The answer is 12>x>-7

Step-by-step explanation:

it's first divided into 2 parts

1 . 15 > 2x - 9

2. 2x - 9 > -23

Then solve them individually.

let's do it,

First half

15 > 2x - 9

15+9 > 2x

24 > 2x

24/2 > x

12>x

Second half

2x-9>-23

2x>-23+9

2x>-14

x>-14/2

x>-7

Joining of the two halves

We have :

12>x>-7

Answer:hi

Step-by-step explanation:

Hi

Answer:

[tex](a)\ x < 150[/tex]

[tex](b)\ x = 149; x = 148[/tex]

Step-by-step explanation:

Given

[tex]Amount = 150[/tex] --- not more than

[tex]x \to[/tex] spending

Solving (a): Represent as an inequality

Not more than means <

So, the inequality is:

[tex]Spending < Amount[/tex]

[tex]x < 150[/tex]

Solving (b): The first two possible solutions

These are the numbers closest to 150 i.e. 149 and 148

Hence, [tex]x = 149; x = 148[/tex]

Answer:

16+3x=22.75

22.75-16=6.75

6.75÷3=2.25=x

Answer:

2(3x) or 3x+3x could work