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den301095 [7]
2 years ago
5

Figure ABCD is a rectangle Find the value of x

Mathematics
1 answer:
romanna [79]2 years ago
6 0

Step-by-step explanation:

Since this is a rectangle these two equations for the length have to equal each other.

2x+4=7x-1

We now need to get all of the x's on one side and constant numbers on the other side.

add 1 to both sides and subtract 2x from both sides.

5=5x

divide 5 from both sides.

x=1

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2 years ago
Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step w
ArbitrLikvidat [17]

Answer:

(\frac{7}{2})^{2}

Step-by-step explanation:

Brain correctly use a method of completing the square to solve the equation:

x^2+7x-11=0

His First Step is to: Take the Constant Term to the Right Hand Side

x^2+7x=11

The Next Step Would be to:

  • Divide the Coefficient of x by 2
  • Square It
  • Add it to both Sides

In this case, the Coefficient of x  = 7

  • Divided by 2 = \frac{7}{2}
  • Squaring It, we have: (\frac{7}{2})^{2}

It is this number (\frac{7}{2})^{2} that is added to both sides in the manner below:

x^2+7x+(\frac{7}{2})^{2}=11+(\frac{7}{2})^{2}

6 0
3 years ago
Require help with this question
user100 [1]
A) There are a number of ways to compute the determinant of a 3x3 matrix. Since k is on the bottom row, it is convenient to compute the cofactors of the numbers on the bottom row. Then the determinant is ...
  1×(2×-1 -3×1) -k×(3×-1 -2×1) +2×(3×3 -2×2) = 5 -5k

bi) Π₁ can be written using r = (x, y, z).
  Π₁ ⇒ 3x +2y +z = 4

bii) The cross product of the coefficients of λ and μ will give the normal to the plane. The dot-product of that with the constant vector will give the desired constant.
  Π₂ ⇒ ((1, 0, 2)×(1, -1, -1))•(x, y, z) = ((1, 0, 2)×(1, -1, -1))•(1, 2, 3)
  Π₂ ⇒ 2x +3y -z = 5

c) If the three planes form a sheath, the ranks of their coefficient matrix and that of the augmented matrix must be 2. That is, the determinant must be zero. The value of k that makes the determinant zero is found in part (a) to be -1.

A common approach to determining the rank of a matrix is to reduce it to row echelon form. Then the number of independent rows becomes obvious. (It is the number of non-zero rows.) This form for k=-1 is shown in the picture.

5 0
3 years ago
You pick a marble and spin the spinner. How many outcomes are possible?
grigory [225]

Answer:

4 i think

Step-by-step explanation:

can you go one question to the left i need help

6 0
3 years ago
Paula runs a stable. 20 horses currently board at the stable, and 8 of them are bay.
FrozenT [24]

Answer:

40% chance

Step-by-step explanation:

Take the number of horses total and divide the number of bay horses.

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