1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wel
3 years ago
6

Using Cramer’s Rule, what is the value of x in the system of linear equations below?

Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

x = 8 is the answer

Step-by-step explanation:

In order to find  the solution of Equations using Cramer's rule

we shall find  matrices

D= \left[\begin{array}{ccc}5&-3\\1&-2\end{array}\right]=

D_{1} = \left[\begin{array}{ccc}4&-3\\-16&-2\end{array}\right]

l D l  = Determinant formed by coefficient  of variables

Here l D l = 5X(-2) - 1X(-3)=  -10+3 = -7

l D1 l =   Determinant formed by replacing first column In D by numbers on the right side of the equations

Here  l D1 l = 4X(-2)- (-16)X(-3)= -8-48 = -56

here x is  given by \frac{l D1 l}{l D l}

             x = \frac{-56}{-7}

             x = 8

You might be interested in
what are the length and width of a rectangular traffic sign if the length exceeds the width by 24 inches and the perimeter by 12
madreJ [45]

Answer:

<h2>length = 44 in, width = 20 in</h2>

Step-by-step explanation:

\text{The formula of a perimeter of a rectangle:}\\\\P=2(l+w)\\\\l-length\\w-width\\\\\text{We have}\ l=(w+24)\ in,\ P=128\ in\\\\\text{Substitute:}\\\\128=2(w+24+w)\qquad\text{divide both sides by 2}\\\\64=2w+24\qquad\text{subtract 24 from both sides}\\\\40=2w\qquad\text{divide both sides by 2}\\\\20=w\to w=20\ in\\\\l=20+24=44\ in

7 0
3 years ago
For the point P(6,8) and Q(11,11), find the distance d(P,Q) and the coordinates of the
devlian [24]

Answer:

The distance of PQ =  \sqrt{34}

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the points are P(6,8) and Q(11,11)

Distance formula

              PQ = \sqrt{x_{2}-x_{1} )^{2} +(y_{2} - y_{1})^{2}   }

                    =  \sqrt{11-6)^{2} +(11-8)^{2}   }

                   = \sqrt{(5)^{2}+(3)^{2}}   }

                  =  \sqrt{25+9}

                = \sqrt{34}

4 0
3 years ago
A volleyball reaches its maximum of 13 feet, 3 seconds after it is served. What quadratic formula could model the height of the
Katena32 [7]

Answer:

H=-(t-3)^2+13

Step-by-step explanation:

The path covered by the volleyball will be a downward parabola with the vertex being the highest point of the ball.

A general form of a downward parabola is given as:

y=-a(x-h)^2+k

Where (h,k) is the vertex of the parabola and 'a' is a constant.

Now, let 'h' be the vertical height and 't' be the time taken.

So, the equation would be of the form:

H=-a(t-h)^2+k

Now, as per question:

h = 2 seconds, k = 13 feet.

H=-a(t-3)^2+13

Now, taking a = 1. So, the formula that can be used is:

H=-(t-3)^2+13

7 0
3 years ago
Please help ty (7th grade)
Westkost [7]

Answer:

30.    -5 , -2 , -2, 3 , 8

31.     -7, -6, -6, 5, 8

32.    -26, -15, -12, -12, 10

33.    -34, -17, -11, 20, 21

3 0
3 years ago
Read 2 more answers
What is the axis of symmetry and vertex?<br> y=-3x2-24x-42
sasho [114]
The axis is 8

Symmetry
Is 1(-)-
8 0
3 years ago
Other questions:
  • a hiker in africa discovers a skull that contains 51% of its original amount of C-14. Find the of the scull to the nearest year
    6·2 answers
  • What is reflexive property
    5·1 answer
  • wants to build a rectangular deck that has an area of 165 square feet. The length of the deck will be 15 feet long. What is the
    15·1 answer
  • Devyn sold 15 boxes of cookies this week. This is 7 more than he sold last week. How many boxes did he sell last week?
    5·1 answer
  • Expanded form of 582, 030
    11·1 answer
  • How many ratios ratios are needed to solve a percent problem?​
    9·2 answers
  • To 2 Decimal Places<br>2) 0.11 0.88<br>4) 0.06) 0.54​
    6·2 answers
  • Helppppppp pleaseeeeeeeeeee
    5·2 answers
  • What are point slope equations that pass through points (5,6) and (1,1)
    5·1 answer
  • The numbers 1 to 9 are randomly arranged to form a 9-digit number. what is the probability that the number obtained is divisible
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!