Please help this is including substitution and system of equations.

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  [tex]x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}[/tex]

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

Answer:

B

Step-by-step explanation:

Football has the highest number of votes in the chart.

Answer: Tom has run 9 miles so far

Step-by-step explanation:

3/4 of 12 if equal to 9

Answer:

9 miles

Step-by-step explanation:

3 is 25 percent of 12.

to figure out how much he runs in 755 of two miles you multiply 3x3=9.

Answer:

50.3 is the circumference

Step-by-step explanation:

Answer:

circumference = 50.2 in

Step-by-step explanation:

circumference = 2rπ

circumference = 8 x 2 x 3.14 = 50.24 in

Answer:

You need to attach a picture

Step-by-step explanation:

Answer:

The answer is "Option a".

Step-by-step explanation:

In the given scenario, The appropriate test for the teaching profession's accomplishment pre and post-class would be the two-sample t-test with dependent samples, that's why choice "a" is correct.

Answer:

A._____________________

The value of x is -0.22.

The power to which a number must be increased in order to obtain another number is known as a logarithm.

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

Given:

[tex]e^x[/tex] = 0.6

Now, taking log on both side

x log e= log 0.6

x= -0.22184874961

Hence, the value of x is -0.22.

Learn more about logarithm here:

https://brainly.com/question/28346542

#SPJ2

Answer: m=6

Step-by-step explanation:

Divide both sides by 3.4

3.4m/3.4 and 20.4/3.4

Answer:

Volume of cubical tank = 0.278 yard³ (Approx.)

Step-by-step explanation:

Given:

Length of tank = 1/2 yard

Width of tank = 1/6 yard

Height of tank = 1/3 yard

Find:

Volume of cubical tank

Computation;

⇒ Volume of cubic block = (length)(width)(height)

⇒ Volume of cubical tank = (1/2)(1/6)(1/3)

⇒ Volume of cubical tank = 1/36 yard³

Volume of cubical tank = 0.278 yard³ (Approx.)

Answer: 1/36

Step-by-step explanation: This is the plato answer

Answer:

The answer is The sum of the values of Point A and Point B is zero.

Step-by-step explanation:

Answer:

The sum of the values of Point A and Point B is zero.

Step-by-step explanation:

The number 9.636363 is rational

Answer:

b+c+h=50

Step-by-step explanation:

Its the first one because you need to have the same amount of hats as cupcakes cause the hat really stands for people.

Answer:

B...?

Step-by-step explanation:

Either B or D so use your skills to find out ;)

Answer:

1/6 or 6/36

Step-by-step explanation:

Given the qualifications, there are six qualifying combinations out of the 36 combinations, which simplified, is 1 out of 6.

Answer:

The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.

Step-by-step explanation:

Sophie filled a bag with 2 2/3 kilograms of candy.

This means that the total weight is of:

[tex]2\frac{2}{3} = 2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}[/tex]

The total weight is of 8/3 kilograms.

1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?

1/4 of 8/3. So

[tex]\frac{1}{4} \times \frac{8}{3} = \frac{1*8}{4*3} = \frac{2}{3} = 0.6667[/tex]

The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.

Answer:

2+6

Step-by-step explanation:

Answer:

2+6

Step-by-step explanation:

its 2 +6 Hope this helps.

Answer:

put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.  

Step-by-step explanation:

done.

Answer:

When adding up the side lengths given, you get 35

Answer:

7.57

Step-by-step explanation:

Answer:

It's 4/52

Step-by-step explanation:

because there is four threes in a standard deck of playing cards which has 52 cards in all.

Answer:

4/52 = 1/13

Step-by-step explanation:

the are four 3's in standard deck of cards

x = -3

So to figure this out we can readjust the equation to make it easier to solve

[tex]f(x) = x + 9[/tex] is equal to [tex]x+9 = 6[/tex]

From here we can just subtract 9 from both sides and we get our answer!

[tex]x+(9-9) = (6-9)\\x = -3[/tex]

Step-by-step explanation:

work is on the paper for you, somthing that might help you with your future with math is PEMDAS always do exponents first when it's an equation like your first, second, and third question. I hope this helped.

Answer:

Step-by-step explanation:

Since J is the midpoint of HK,  then HJ=JK   and 3x+5=9x-3  solve for x

6x=8   x=8/6=4/3     so HJ=3x+5=3(4/3)+5=9 = JK   HK=2(9)=18

the full segment HK is 18,  each half of it is 9 =HJ=JK

Answer:

4- 3a .............................

Answer:

.03688$ per square foot.

Step-by-step explanation:

18.44 / 500 equals .03688.

Hope that this helps!

Answer:

$0.03688/ft

Step-by-step explanation:

$18.44/(500 ft) = $0.03688/ft

Answer:

Hey there!

I belive the answer is 17952 ft

which if you multiply 3.4 miles x 5280 is equal to 17952 ft.

Hope this can help! Please correct me if im wrong!

9514 1404 393

Answer:

  (x, y) = (31/37, 2 36/37) ≈ (0.8378, 2.9730)

Step-by-step explanation:

There are several ways we can go at this.

Method 1

Find the point of intersection with the perpendicular line through (-5, 2).

The perpendicular line will have the x- and y-coefficients swapped, one of them negated, and a new constant consistent with the given point.

  x -6y = (-5) -6(2) = -17

So, we're looking for the solution of the system of equations ...

Using Cramer's Rule, we can find the solution to be ...

  x = ((1)(-17) -(-6)(8))/((1)(1) -(-6)(6)) = 31/37 ≈ 0.837_837*

  y = ((8)(1)-(-17)(6))/37 = 110/37 ≈ 2.972_972

The closest point is (x, y) = (31/37, 2 36/37).

__

Method 2

We can write the given line in parametric form, then find the point on it such that the direction along the line is perpendicular to the direction to the given point.

Solving the given equation for y, we have ...

  y = 8 -6x

So, the parametric form of the given line can be written as ...

  (x, y) = (0, 8) +t(1, -6) . . . . for some parameter t

The direction to the given point from (x, y) is then ...

  (-5, 2) -(x, y) = (-5, 2) -((0, 8) +t(1, -6)) = (-5-0-t, 2-8+6t) = (-t-5, 6t-6)

The dot-product of this direction vector with the direction vector of the original line will be zero for the value of the parameter at the closest point.

  (1, -6) · (-t-5, 6t-6) = 0 = (1)(-t -5) +(-6)(6t -6)

  0 = -t -5 -36t +36 = -37t +31

  31/37 = t

So, filling this value into the parametric equation gives the closest point as ...

  (0, 8) +(31/37)(1, -6) = (31/37, 2 36/37) = (x, y)

__

Method 3

Find the point of tangency of the given line with a circle centered at (-5, 2).

The equation of a circle centered at (-5, 2) is ...

  (x +5)^2 +(y -2)^2 = r^2

The given line will meet the circle at a point that satisfies this equation and the equation of the circle. Writing an expression for y using the given line, we can substitute into the circle equation to get ...

  (x +5)^ +((8 -6x) -2)^2 = r^2

  x^2 +10x +25 +36 -72x +36x^2 = r^2

  37x^2 -62x + (some constant) = 0

This will have one solution when the constant is chosen to make the left-side expression a perfect square. That perfect square will be ...

  37(x -31/37)^2 = 0

which is to say the tangent point of the line and the circle will have x-coordinate x = 31/37. The y-coordinate is 8 -6(31/37) = 2 36/37.

The closest point is (x, y) = (31/37, 2 36/37).

_____

* repeated decimal fractions are signified in typeset text with an overbar over the repeating digits. In plain text, we sometimes use a preceding underscore to identify the repeating digits.