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My name is Ann [436]
1 year ago
5

If u = 2i - j; v= -5i + 4j and w = j find 4u (v -w).

Mathematics
1 answer:
Sedaia [141]1 year ago
5 0

Answer:

-40

Explanation:

Given

u = 2i - j; v= -5i + 4j and w = j

Required

4u(v-w)

4u = 4(2i) = 8i

v - w = -5i + 4j - j

v - w = -5i + 3j

Substitute

4u(v-w)

= 8i(-5i+3j)

= -40(i*i) [since i*i = 1]

= -40

Hence the required solution is -40

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What is -9x-(2x/-3) When x equals 7
yuradex [85]
-9x- \frac{2x}{-3}

-9*(7) -  \frac{2*7}{-3}

9*7 = 63

\frac{2*7}{-3}  =  \frac{14}{-3}

Apply the fraction  rule : \frac{a}{-b} = -  \frac{a}{b}

= - \frac{14}{3}

-63-( -\frac{14}{3} )

Apply rule  - ( - a) = a

-63+ \frac{14}{3}

Convert  element to fraction :

63 =  \frac{63}{1}

-\frac{63}{1} + \frac{14}{3}

Find the LCD 1*3 = 3

- \frac{63*3}{3}+ \frac{14}{3}

\frac{-3+63+14}{3} =  \frac{-175}{3}

<span>Apply the fraction  rule : \frac{a}{-b} = - \frac{a}{b}</span>

= - \frac{175}{3}

hope this helps!

4 0
3 years ago
the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right
aivan3 [116]

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

4 0
3 years ago
Find the value of Y
Nadya [2.5K]
The answer is D.

this is unnecessary because i have to have twenty characters<span />
6 0
3 years ago
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B) За + 4b + ба<br> Please help
kenny6666 [7]

Answer:

\sf 9a+4b

Step-by-step explanation:

\sf 3a+4b+6a

Combine like terms

\sf 3a+6a=9a

\sf 9a+4b

5 0
2 years ago
Read 2 more answers
4,200 with a 35% markdown
Bumek [7]

Answer:

4200 with 35% markdown: 2730

5000 with 44% markdown: 2800

Step-by-step explanation:

To calculate the price of an item including the markdown, multiply the original price by (1 minus markdown).

Convert the markdown percentage to decimal form before subtracting.

4200 with a 35% markdown: (35% = 0.35)

4200*(1 - 0.35)

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5000 with a 44% markdown: (44% = 0.44)

5000*(1 - 0.44)

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Therefore, the sale price for $4200 with a 35% markdown is $2730, and the sale price for $5000 with a 44% markdown is $2800.

4 0
3 years ago
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