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2 years ago

Given matrices A and B shown below, find (3)A+(8)B.

Mathematics

1 answer:

Tasya [4]2 years ago

5 0

Answer:

$\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]$

Step-by-step explanation:

$\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]$

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Oints Q and R are midpoints of the sides of triangle ABC.

MariettaO [177]

Answer:

AQ = 20 units

Step-by-step explanation:

Comparing triangle AQR to ABC,

$\frac{AQ}{AB}$ = $\frac{QR}{BC}$

$\frac{4p}{8p}$ = $\frac{2p + 3}{6p-4}$

cross multiply and make p the subject of formula, we have:

8p (2p+3) = 4p(6p-4)

16 $p^{2}$ + 24p = 24 $p^{2}$ - 16p

24p + 16p = 24 $p^{2}$ - 16 $p^{2}$

40p = 8 $p^{2}$

divide through by 8p,

p = 5

Therefore, AQ = 4p

= 4 × 5

= 20

AQ = 20 units

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3 years ago

Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1.

jok3333 [9.3K]

Let's just choose "x" as our variable for the length of a side of the triangle.

Two sides of a triangle are equal in length and double the length of the shortest side.

A triangle has 3 sides. Make the smallest side x then the two equal sides that are double the smallest side are both equal to 2x

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x + 2x + 2x = 35

5x = 35

x = 7

So the smallest side is 7, and the other two sides are 14.

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3 years ago

On a number line 8.29 would be located..... choose all answers that make the statement true

Gala2k [10]

A, B, and D I believe:)

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3 years ago

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It costs a baker 2x + 30 dollars to bake x muffins a day. Each muffin is sold for 5 dollars. How many muffins would the baker ne

Svetradugi [14.3K]

Answer:

X = 10

Step-by-step explanation:

The equation to use would be; 2x + 30 = 5x; because the baker is looking for enough to cover the costs, no more no less.

Then all you have to do is solve for the equation.

2x + 30 = 5x

Subtract 2x from each side

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The baker needs to sell 10 muffins in a day to make enough to cover the revenue.

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3 years ago

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Dmitrij [34]

Answer:

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

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3 years ago