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klasskru [66]
3 years ago
12

What is the value of matrix B if A + B = C

Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer:b

Step-by-step explanation:

dusya [7]3 years ago
3 0

Answer:

B

Step-by-step explanation:

When adding two matrices of the same dimensions we addup each two corresponding elements of these matrices:

A+B=\left[\begin{array}{cc}8&-3\\3&y+2\end{array}\right]+\left[\begin{array}{cc}3x&z+4\\w&\frac{1}{2}y\end{array}\right]=\left[\begin{array}{cc}8+3x&-3+z+4\\3+w&y+2+\frac{1}{2}y\end{array}\right].

When two matrices are equal, then corresponding elements are equal:

\left\{\begin{array}{l}8+3x=x\\-3+z+4=2z\\3+w=4\\y+2+\frac{1}{2}y=y\end{array}\right.\Rightarrow \left\{\begin{array}{l}x=-4\\z=1\\w=1\\y=-4\end{array}\right.

Hence,

B=\left[\begin{array}{cc}-12&5\\1&-2\end{array}\right].

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Answer:

possible. it's a scalene triangle, an angle with different lengths

8 0
3 years ago
What is the equation in vertex form of a parabola with vertex (-2, -2) that opens downward and is stretched by a factor of 5?
Galina-37 [17]

Answer:

D).  -5(x + 2)^2 - 2.

Step-by-step explanation:

Parabola which Opens down and vertex (-2, -2) is :

f(x) = a(x + 2)^2 - 2 where a is negative

Stretch by factor 5 gives:

-5(x + 2)^2 - 2.

5 0
2 years ago
Please please help me !!
stira [4]

Answer:

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3 0
3 years ago
Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?
Ratling [72]

Answer:

              y + 3= 3(x - 6)        ←    point-slope form

             y = 3x - 21           ←    slope-intercept form

             3x - y = 21         ←    standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 3x + 1   ⇒    m₁ = 3    ⇒    m₂ = 3

(6, -3)    ⇒    x₁ = 6,  y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18              {subtact 3 from both sides}

y = 3x - 21        ←    slope-intercept form

-3x + y = -21                 {multiply both sides by (-1)}

3x - y = 21         ←    standard form

8 0
3 years ago
Use the figure below. Which angle is congruent to ∠ACB? A. ∠ABC B. ∠AED C. ∠ADE D. ∠DAE
Basile [38]

Answer:

Angle ABD

Step-by-step explanation:

I think it is so because the angles are aligned already so you what has the same value.

5 0
3 years ago
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