To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing

A. calculator, but he could only see one line. Why is this?
B. because the system of equations actually has only one solution
C. because the system of equations actually has no solution
D. because the graphs of the two equations overlap each other
because the graph of one of the equations does not exist

Answers

Answer 1
It’s D my guy because of the two equations overlap each other

Related Questions

plz solve it and help me for it​

Answers

Given:

Base angle of an isosceles triangle is 15 degrees more than its vertical angle.

To find:

The measure of each angle of the triangle.

Solution:

Let x be the vertical angle. Then,

One base angle = x+15 degrees

We know that base angles of an isosceles triangle are equal.

Another base angle = x+15 degrees

Now, the sum of all angles of a triangle is 180 degrees by the angle sum property.

[tex]x^\circ+(x+15)^\circ+(x+15)^\circ=180^\circ[/tex]          (Angle sum property)

[tex](3x+30)^\circ=180^\circ[/tex]

[tex]3x+30=180[/tex]

[tex]3x=180-30[/tex]

[tex]3x=150[/tex]

Divide both sides by 3.

[tex]x=\dfrac{150}{3}[/tex]

[tex]x=50[/tex]

The measure of base angles is

[tex](x+15)^\circ=(50+15)^\circ[/tex]

[tex](x+15)^\circ=65^\circ[/tex]

Therefore, the measure of angles are 50°, 65° and 65°.

what would be the reminder of 20,000 divided by 24 ?

Answers

Answer:

I think 2500..not sure tho

Step-by-step explanation:

The distance between boston and chicago on a map is 9 inches. If the scale of the map is 1 inch : 95 miles, what is the actual distance from boston to chicago

Answers

95 x 9 = 855 miles from Boston to chicago answer is 855.

Write an equation for the following line.
10
-10
10
-101

Answers

Y= 4

How to:
Using the y axis it hits the line at 4

Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From

Answers

Answer:

41.5

Step-by-step explanation:

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope

w is directly proportional to u if w=5 when u=3,find u when w is =2/7​

Answers

Answer:

u = 6/35

Step-by-step explanation:

w = k * u

w = ku

Where

k = constant of proportionality

if w=5 when u= 3

w = ku

5 = k * 3

5 = 3k

k = 5/3

find u when w is =2/7​

w = ku

2/7 = 5/3 * U

2/7 = 5/3u

u = 2/7 ÷ 5/3

= 2/7 × 3/5

= (2*3)/(7*5)

= 6/35

u = 6/35

Given f(x) = -4x and g(x) = -5x - 8, find g(f(6-2m²))​

Answers

9514 1404 393

Answer:

  -40m² +112

Step-by-step explanation:

g(f(6-2m²)) = g(-4(6 -2m²)) = g(8m² -24)

= -5(8m² -24) -8 = -40m² +120 -8

g(f(6-2m²)) = -40m² +112

Find the simplest form
2 2
+
9.7

Answers

there's a random space in between the 2 and 2. not sure if it's meant to be 2.2 or 22 but i'll do both.

2.2 + 9.7 = 11.9

22 + 9.7 = 31.7

Pensé un número, a ese
número le sumé 15 y
obtuve como resultado 27.
¿Cuál es el número que
pensé​

Answers

Answer:

si es suma tiene que ser 12+15=27

In an inverse variation, x = -6 when y = -1/2. What is the value of y when x = 4?

Answers

Answer:

[tex]9 \frac{1}{2} [/tex]

Step-by-step explanation:

just add 5.5 to each number and make it in fraction

hop it helps you

please mark me as brainlist

find the volume of the cube below with a side length of 7.

Answers

Answer:

343 square unit is the answer...

Step-by-step explanation:

as a^3 is formula for finding volume where a is 7

best answer will get brainlist

Answers

Answer: 482x-4y%742

Step-by-step explanation: if you put the compexules and then you suntract then times the sublactus

A= bh;
A = 28, h = 4

Answers

28= b(4)
divide both sides by 4. to leave the variable b alone
Answer: 7=b

What is the surface area of this right rectangular prism?

Enter your answer in the box.

in²

A rectangular prism with a length of 3 inches, a width of 1 inch, and a height of 2 inches.

Answers

Answer: Here's what I got:

Step-by-step explanation:

Is this what you wanted? My answer is A=22in²

Here's how I got it:

A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²

This was right? Make sure to like and rate! Appericate it.

Answer:

 A=22in²

Step-by-step explanation:

A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²

A pelican has a wingspan of 8 feet.
An eagle has a wingspan of 6 feet.
How much longer is the wingspan
of a pelican?

Answers

Answer:

I'm pretty sure the answer would be 2 feet.

Step-by-step explanation:

8-6=2

Alek gives 18 flowers to each person at his office, There are 42 people at his office. How many flowers does alek give away?

Answers

Answer:

he gives away 756 flowers

Step-by-step explanation:

18*42=756

3.) 4(m + 5) + 42, (m = -2)​

Answers

The answer would be 54 since m=-2

Step one: 4(-2+5)+42
Step two: (-8+20)+42=54

Answer:

54

Step-by-step explanation:

The variable m equals -2, so what you would do is plug it into the equation.

4(-2+5)+42

Next you would distribute the 4 into -2 & 5.

(-8+20) + 42

Add what's in the parenthesis.

12 + 42

Once you add that you will be left with your answer which is 54.

Hope this helped!

What is 2/3 divided by 6/12? REDUCE ANSWER TO SIMPLEST FORM. please help mark you brainiest!!!

Answers

Answer:

4/3 or 1.34

Step-by-step explanation:

2/3 ÷ 6/12

= 2/3 × 12/6

= 4/3 or 1.34

If a 24oz bottle of water costs $2.35. What is the cost per ounce? Round to the nearest penny.

Answers

Answer:

10¢

Step-by-step explanation:

To find how much an ounce cost, dive 2.35 by 24.

[tex]\frac{2.35}{24} = 0.097\\[/tex]

Multiply by 100, and thus you get 9.79, or, to the nearest penny, 10 cents.

please help me find the slope and y intercept! i’m the worst at math, i’d really appreciate it <333 (click on photo)

Answers

5) the slope is -2, y-intercept is 1. 6) slope is 1, y-intercept is 1. 7) slope is -5, y-intercept is 8. That’s all I could find :( sorry. Hope that helped. I’m also not that good at math

Answer:

3.)   y-int = 0

4.)   y-int = -1

5.)   slope = 2

      y-int = 4

6.)   slope = -1

      y-int = -6

7.)   slope = 5

      y-int = 8

8.)   slope = 7

      y-int = 1/2

Step-by-step explanation:

basically, you want to get each of your functions in terms of (y = mx + b)

for each of these:

m will be your slope

b will be your y-intercept

in integers how to know if minus (-) 1 upon 2 is greater or minus (-) 1 is greater???​

Answers

Answer:

1/2 is 0.5 so -1/2=-0.5

-0.5 is greater than -1

use a number line

Step-by-step explanation:

By looking at the number line we can easily tell which integers are greater (larger) than a certain number and which are less (smaller) than the number. When two numbers are located on a number line, the number to the right is larger than the number to the left. –1 is less than –1/2 because it is to the left of –1/2.

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

2a+3b=5
b=a-5 help please

Answers

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

21.6/12x = 34.2 does anyone know how to do this?

Answers

Answer:

x = 32.6

Step-by-step explanation:

Please share the instructions:  "Find the value of x ... "  Also, indicate whether x is in the numerator or denominator.

If in the numerator, then we have (12.6/12)x = 34.2.

Multipying both sides by (12/12.6) yields 34.2(12/12.6), or x = 32.6

Find the area of the figure. PLEASE HELP

Answers

Answer:

23.49 in.

Step-by-step explanation:

Formula for area of triangle: 1/2 * b * h

1/2 * 16.2 = 8.1

8.1 * 2.9 =23.49 in.

What is the area of the following polygon? Explain your process for how you arrived at the final area. Show your work.

Answers

Answer: 400

Step-by-step explanation: first you have to know the triangle area, which is 20 times 10 divided into 2, then you have to know the square area which is 20 times 15 and finally you will put together the areas, which is 400

Answer:

Step-by-step explanation:

Answer: 400

Step-by-step explanation: first you have to know the triangle area, which is 20 times 10 divided into 2, then you have to know the square area which is 20 times 15 and finally you will put together the areas, which is 400

Find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

Using rise over run for the two points

4 - 0/ -1 - 3 = -1

Answer:

We found 2 coordinates

1. ( 0 ,3)

2.(3,0)

Now slope = tan theta = 3/3 = 1

Answer is 1

Mark it as brainlist answer

Step-by-step explanation:

ZA=
Round your answer to the nearest hundredth.
A
?
5
B
3

Answers

sin = opposite / hypotenuse

Let x be the value of ∠A.

sin x = 3/5

x = sin^-1 (3/5)

x = 36.90 (nearest hundredth)

You deposit $100 in a savings account. The account earns 11% simple interest per year.
a. What is the interest earned after 10 years?
The interest earned is $
after 10 years.
b. What is the balance after 10 years?
The balance is $
after 10 years.

Answers

Answer:

a. ----> $10b. ----> $110

Step-by-step explanation:

principle ( p ) = $100time ( t ) = 10 years rate ( r ) = 11%simple interest = (p × r × t)÷ 100 = ( $100 × 11 × 10 )÷ 100 = 11000 ÷ 100 = $110

interest = simple interest - principle interest = $110 - $100 = $10

MARK ME AS BRAINLIST

PLZ FOLLOW ME

Can somebody help me out ? Please

Answers

Answer:

52 sq mm

Step-by-step explanation:

you can break it into a long rectangle in the middle with dimensions of 2(6+8) or 2(14) = 28 sq mm

the triangle on the bottom has a base of (8-4) x height of 3, which gives 6 sq mm (you have to divide by 2)

the upper left rectangle is 6 x 3 = 18 sq mm

add: 28 + 6 + 18 = 52

m + 1 = 8

But what’s the m=__

Answers

Answer:m= 7.

Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7

Answer: m = 7

Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.

In this problem, since 1 is being added to m, in order to get m

by itself, we must subtract 1 from the left side of the equation.

If we subtract 1 from the left side of the equation, remember that

we must also subtract 1 from the right side of the equation.

So on the left, +1 and -1 cancel each other out

and on the right, 8 - 1 simplifies to 7.

So m = 7.

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