MATHEMATICS COLLEGE

HELP! Click on the png if your willing to save me from eternal pain!

Answers

Answer 1

Answer:

Answer:

The correct answer is 2.75

Step-by-step explanation:

I hope I saved you from internal pain! (∩^o^)⊃━☆(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧✪ ω ✪

Answer 2

Answer: The correct awnser is b I think

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Find the values of x and y in the following triangle

Answers

y is 88° and x is 42°
This is because a straight line is 180° so 180-92 is 88 which is Y
Once you have this, you add 50 and 88 to get 138 and a triangle is equal to 180° so 180-138 is 42
hope this helped :)

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept form)

Answers

Answer:

$\displaystyle y=-(1)/(2)x+4$

Step-by-step explanation:

Equation of a Line

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-(1)/(2)$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-(1)/(2)(x-2)$

Operating

$\displaystyle y=-(1)/(2)(x-2)+3$

Simplifying

$\displaystyle y=-(1)/(2)x+4$

That is the equation in slope-intercept form. Intercept: y=4

The augmented matrix of a system of equations has been transformed to an equivalent matrix inâ€‹ row-echelon form. Usingâ€‹ x, y, and z asâ€‹ variables, write the system of equations corresponding to the following matrix. If the system isâ€‹ consistent, solve it.left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 2 3rd Column 2 2nd Row 1st Column 0 2nd Column 1 3rd Column negative 3 3rd Row 1st Column 0 2nd Column 0 3rd Column 1 EndMatrix Start 3 By 1 Table 1st Row 1st Column 4 2nd Row 1st Column 9 3rd Row 1st Column negative 2 EndTable right bracket

1 2 2
0 1 âˆ’3
0 0 1
4
9
âˆ’2
Which of the following system of equations corresponds to the givenâ€‹ matrix?

A.

x plus 2 y plus 2 zx+2y+2z

equals=44

y minus 3 zyâˆ’3z

equals=99

z

equals=minusâˆ’22

B.

2 x plus 2 y2x+2y

equals=44

negative 3 yâˆ’3y

equals=99

z

equals=minusâˆ’22

C.

2 x plus 2 y plus 4 z2x+2y+4z

equals=1

negative 3 y plus 9 zâˆ’3y+9z

equals=1

minusâˆ’z

equals=1

D.

x

equals=44

2 x plus y2x+y

equals=99

2 x minus 3 y plus z2xâˆ’3y+z

equals=minusâˆ’22

Select the correct choice below and fill in any answer boxes in your choice.

A.

The solution set is

StartSet nothing EndSet{}.

â€‹(Type an orderedâ€‹ triple.)

B.

The solution is the empty set.

Answers

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a RowEchelonForm, which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

$\left[\begin{array}{ccc}1&2&2\n0&1&3\n0&0&1\end{array}\right]$ $\left[\begin{array}{ccc}4\n9\n-2\end{array}\right]$

or in system form:

x + 2y + 2z = 4

y + 3z = 9

z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

Solve the equation x/4 - 7 = y for x

Answers

Answer:

x = 4y + 28

Step-by-step explanation:

x/4 - 7 = y

+7 +7

x/4 = y + 7

× 4 × 4

x = 4y + 28

Answer:

x = 4y + 28

Step-by-step explanation:

For this, you would need to simplify both sides of the equation, after isolating the variable.

Solve: x^2 – 16x + 63 < 0

Answers

Answer:

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

Could someone help me out?

Answers

Answer:

Step-by-step explanation:

Answer:

The value of x is 28cm.

Step-by-step explanation:

Area of a trapezium = ½h(a + b)

240 = ½×12×(12 + x)

240 = 6(12 + x)

240 = 72 + 6 x

240 - 72 = 6x

168 = 6x

168/6 = x

28 = x

Other Questions

Find the values of each variable

P(q ÷ 3 - p ); use p = -6, and q= -3

Need someone’s help with this please!!!

Which scatter plot could have a trend line whose equation is y = x + 15?