A student was trying to find the solution to a system of equations, but they were incorrect. Their explanation is shown below.

3x +4y = 10
3x + 4y =2

There are infinite solutions. When I subtract the equations, I get 0x + 0y = 8, so I know that there are infinite solutions to this system of equations.

Explain the mistake that the student made:

Answer:

75°

Step-by-step explanation:

180°-105°=75°

Hope this helps! :)

Answer:

75 degrees.

Step-by-step explanation:

The sum of both angles is 180 degrees, they are supplementary. Therefore, subtracting the measurement of the first angle from 180 will give you your answer.

180 - 105 = 75

Answer:

Step-by-step explanation:

Remark

The minus sign in front of the 2 means that the quadratic has a maximum.

The vertex is already written in vertex form.

y= - 2 (x - 4)^2 + 3

The vertex is (4,3). Notice that the sign on the 4 changes. What you are trying to do is find the maximum point. That occurs when the minus number is made to be 0, which occurs when x = 4. The maximum y value is 3 when that happens.

I have enclosed a graph to show you all the details. Notice the maximum is when I've said it was and the roots have also been calculated.

Answer:

84

Step-by-step explanation:

m∠CMT=101-54=47

m∠PMA=37, So

m∠PMA+m∠CMT=47+37=84

The sum of the angle ∠PMA + ∠CMT will be 84 so option (D) will be correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

In other words, the angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The Angle of description has given below

∠CMT=101-54=47

∠PMA=37, means

∠PMA+∠CMT = 47+37 = 84 hence, 84 will be the correct answer.

For more about the angle

brainly.com/question/13954458

#SPJ2

Answer:

C

Step-by-step explanation:

All the other answers are the same worded differently except c.

The distance between 6 and -6 is 12 so that is not correct for the absolute value of -6

Answer:

I believe the answer is 1

Answer:

The ratio for this school is 12/186 which gives us 2/31. Just check which option has the same ratio and that will be your answer.

Step-by-step explanation:

Answer:

There is no other schools listed so I cant answer the question

Step-by-step explanation:

Answer:

If they would both work at the same speed they would each take 4 hours to complete the room. So in total they would work 8 hours. But because Carl can finish three hours before Jennifer 3 hours of the eight already got to Jennifer. Then we divide the resting 5 hours by the two and then we have:

Jennifer:

3+2,5=5,5

Carl:

2,5

( if I am right)

Answer:

27 m

Step-by-step explanation:

We know that ABC = 42 degrees

and side length BC = 24m

tan42 = 24m/a

a = 24/tan42

a = 26.65m

round to nearest whole number

= 27 m

Answer:

12 or 16 m

Step-by-step explanation:

Answer:

[tex]14 \: 26 \: 6.5[/tex]

14

26

6.5

Answer:

3√2 units

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene, obtuse, acute and right angled triangle.

In a right angled triangle, the hypotenuse is the side with the longest length. Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the remaining two legs

The value of x can be gotten using Pythagoras theorem.

y² = h² + 3²   (1)

x² = h² + 3²   (2)

(3 + 3)² = x² + y² (3)

Substituting y² = h² + 3²  and x² = h² + 3² into equation 3 gives:

(3 + 3)² = (h² + 3²) + (h² + 3²)

36 = h² + h² + 9 + 9

2h² + 18 = 36

2h² = 18

h² = 9

h = 3

Put h = 3, into equation 2 to get the value of x:

x² = 3² + 3²

x² = 9 + 9 = 18

x = √18 = 3√2 units

Answer:

x = 4 and y = -6

Step-by-step explanation:

Solve by elimination by multiplying the first equation by -2:

-8x - 6y = 4

8x + 3y = 14

Add them together and solve for y:

-3y = 18

y = -6

Plug in -6 as y into one of the equations and solve for x:

8x + 3y = 14

8x + 3(-6) = 14

8x - 18 = 14

8x = 32

x = 4

So, the solution is x = 4 and y = -6

Answer:

x = 4​

y = -6

Step-by-step explanation:

4x + 3y = -2

8x + 3y = 14​

Multiply the second equation by -1

4x + 3y = -2

-8x - 3y = -14

--------------------------

-4x       = -16

Divide by -4

-4x/-4 = -16/-4

x = 4​

4x+3y = -2

4*4 +3y = -2

16 +3y = -2

3y = -2-16

3y = -18

y = -6

Answer:

True

Step-by-step explanation:

5+3+7=5+7+3

15=15

Hence proved.

two real solutions

b2-4ac>0

one real solutions and one imaginary solution

b2-4ac=0

no real solution

b2-4ac<0

a=7

b=3

c=8

(3)^2-4(7)(8)=-215 no real solution

Answer:

2.4

6 divided by 2.5= 2.4

Step-by-step explanation:

Hope this is correct, if not feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.

Answer:

The answer is indeed 2.4:

Step-by-step explanation:

Answer:

-4.68

Step-by-step explanation:

i hope this helps

0.12 - 4.8 = -4.68

Answer:

4.68

Step-by-step explanation:

Answer:

6500

Step-by-step explanation:

y = 6500(0.875)^x

When bought x = 0

y = 6500(0.875)^0

A number raise to 0 equals 1

y = 6500 * 1

y = 6500

Answer:

30.

3×4=12

12×5=60

60÷2=30

Answer:

[tex]x=1\frac{2}{9} +1\frac{1}{9}y[/tex]

Step-by-step explanation:

x - 3y + 8x - 7y = 5 + 6

9x - 10y = 11

9x - 10y + 10y = 11 + 10y

9x = 11 + 10y

9x ÷ 9 = 11 + 10y ÷ 9

[tex]x=1\frac{2}{9} +1\frac{1}{9}y[/tex]

Answer:

x = -1

y = -2

Step-by-step explanation:

x - 3y = 5     ----------------(I)

8x - 7y = 6 ----------(II)

Multiply equation (I) by (-8) and then add the two equations

(I)*(-8)     -8x + 24y = -40

(II)           8x   - 7y   = 6    {Now add and x will be eliminated}

                       17y = -34     {Divide both sides by 17}

                           y = -34/17

y = -2

Plugin  y  =-2 in equation (I)

x - 3*(-2) = 5

x  + 6 = 5         {Subtract 6 from both sides}

     x = 5 - 6

x = - 1

Answer:

10

Step-by-step explanation:

10 is the greatest common factor that you can divide into both 40 and 50.

Answer:

10

Step-by-step explanation:

Try and find the prime factorization of 40 and 50.

40=2*2*2*5

50=2*5*5

Multiply the prime  factors that are common to both numbers.

2*5=10

Answer:

[tex]2\sqrt{6}[/tex] = x

Step-by-step explanation:

We can use the Tan ratio to figure this out;

[tex]Tan(60) = \frac{x}{\sqrt{8} }[/tex]

Tan(60) * [tex]\sqrt{8}[/tex] = x

[tex]2\sqrt{6}[/tex] = x

Hope this helps!

B: the relationship is proportional

Answer:

See below.

Step-by-step explanation:

4.2 is 4 and 2 tenths.

4 is 40 tenths.

That means that 4.2 is 40 tenths plus 2 tenths, or 42 tenths.

First line: 4.2 / 6 = 42 tenths / 6

In the second line, we divide 42 tenths by 6. Since 42 divided by 6 = 7, then 42 tenths divided by 6 equals 7 tenths.

Second line: 4.2 / 6 = 7 tenths

In the third line, we write 7 tenths as a number. 7 tenths is the same as 0.7.

Third line: 4.2 / 6 = 0.7

Answer:

1/125

Step-by-step explanation:

5^-3

We know that a^-b = a/a^b

1/5^3

1/125

Answer:

[tex] \displaystyle {5}^{ - 3} = \boxed{\frac{1}{ 125} }[/tex]

Step-by-step explanation:

we would like to evaluate the following expression:

[tex] \displaystyle {5}^{ - 3} [/tex]

recall that,

[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } [/tex]

let x be 5 thus substitute:

[tex] \displaystyle {5}^{ - 3} = \frac{1}{ {5}^{3} } [/tex]

simplify:

[tex] \displaystyle {5}^{ - 3} = \boxed{\frac{1}{ 125} }[/tex]

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

Work Shown:

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*3.14*(4)^2 + 2*3.14*4*9

SA = 326.56

Notes:

Answer:

[tex]326.56cm {}^{2} [/tex]

Answer:

#3: 4

#7: >

#8: =

#9: >

#10: <

Step-by-step explanation:

1 decimeter = 10 centimeters

1 meter = 10 decimeters

1 kilometer = 1,000 meters

Answer:

I think D 24 but i am not sure

Answer:

B)12

Step-by-step explanation:

I took the test