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Alexandra [31]
4 years ago
15

If a = 5i - 6j and b = -2i + 4j , find -3a + 2b

Mathematics
1 answer:
gavmur [86]4 years ago
3 0

Answer:

-19i + 26j

Step-by-step explanation:

-3 (5i - 6j) + 2 (-2i + 4j)

Distribute/multiply the -3 to everything in the parentheses

-15i + 18j + 2 (-2i + 4j)

Distribute/multiply the 2 to everything in the parentheses

-15i + 18j -4i + 8j

Combine like terms

-19i +26j

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A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter
maksim [4K]

Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}

\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}

\text{Probability that dart lands inside the triangle}=\frac{162}{648}

\text{Probability that dart lands inside the triangle}=0.25

Convert into percentage:

0.25\times 100\%=25\%

Therefore, the probability that dart lands inside the triangle is 25%.

7 0
3 years ago
Read 2 more answers
Can u pls help me with this question ​
saul85 [17]

Answer:

The answer is D, 43  \frac{1}{2}

Step-by-step explanation:

If the pile gets bigger by 8 \frac{7}{12} each week, and you want to find out how big the pile is after 3 weeks, then you have to multiply 8 \frac{7}{12\\} by 3 to find out how much the pile increased by.

8 \frac{7}{12\\} × 3 = 25 \frac{3}{4}

Now, you need to add this to your initial value to get the answer.

25 \frac{3}{4} + 17 \frac{3}{4} = 42 \frac{6}{4}

Now simplify.

43 \frac{1}{2}

3 0
3 years ago
Drag each tile to the correct box.
wlad13 [49]

The correct match of each tile of the equation with its solution is:

  • n - 13 = - 12 →→→ 1
  • n/5 = -1/5  →→→ -1
  • n + 15 = - 10 →→→ -25

<h3>How do we match each tile to the correct box?</h3>

To match each tile to the correct box, we have to solve the arithmetic operations in the box, then drag the correct tile that matches our answer into the box.

From the image attached below;

1.

n - 13 = - 12

Let us add (+13) to both sides to eliminate (-13), i.e.

n - 13 + 13 = - 12 + 13

n = 1

2.

n/5 = -1/5  

multiply both side by 5

n/5 × (5) = -1/5 × (5)

n = -1

3.

n + 15 = - 10

n +15 - 15 = - 10 - 15

n = -25

Learn more about matching each tile to the correct box here:

brainly.com/question/17203448

#SPJ1

7 0
2 years ago
Help me plssssssssssss
SVETLANKA909090 [29]
There you go! Hope it helps

5 0
3 years ago
The top of a table is in the shape of a trapezoid. It has a height 1.5 feet and the two parallel bases measure 3 feet and 5 feet
Ksju [112]

Answer: 6 feet 2

Step-by-step explanation:

7 0
3 years ago
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