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4 years ago

Simplify the expression and find the missing terms.

Mathematics

1 answer:

zysi [14]4 years ago

5 0

What are the terms? I want to help, but I can't without the terms.

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What are the coordinates of B

Kitty [74]

The coordinates of B are (14, -10).

<h3>How to find mid point?</h3>

The midpoint is already know . we can use it to find the coordinates of B.

Therefore,

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Hence,

M(5, - 4) and A(-4, 2)

The coordinates of B are as follows:

(5, - 4) = (-4 + x₂ / 2 , 2 + y₂ / 2)

5 = -4 + x₂ / 2

10 = -4 + x₂

x₂ = 14

hence,

-4 = 2 + y₂ / 2

-8 = 2 + y₂

y₂ = - 10

Therefore, the coordinates of B are (14, -10)

Learn more about midpoint here: brainly.com/question/25377004

#SPJ1

7 0

1 year ago

Simplify: 5P3<br> A. 10<br> B. 15<br> C. 30<br> D. 60

mina [271]

Permutations and Combinations Quick Check

1) D 60

2) B 6

3) B 72

4) D 40,320

5) B 90 ways

4 0

4 years ago

Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the p

anzhelika [568]

Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

5 0

3 years ago

1) 2(x + 3) = x - 4<br><br> 2) 4(5x-2)=2(9x+3)

PilotLPTM [1.2K]

1. x=-10
2. x=7

I’m pretty sure these are right :)

3 0

3 years ago

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options,

ElenaW [278]

Answer:

These are the rectangular prisms that have a surface area greater than 140 square feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

The formula to find the surface area of a rectangular prism is SA=2(wl+hl+hw)

All you have to do is go through all the options given to you to figure out which retangular prisms have a surface area greater than 140 square feet.

6 feet by 2 feet by 3 feet

SA = 2((2)(6)+(3)(6)+(3)(2))

SA = 2(12 + 18 + 6)

SA = 2(36)

SA = 72

6 feet by 5 feet by 4 feet

SA = 2((6)(5) + (4)(5) + (4)(6))

SA = 2(30 + 20 + 24)

SA = 2(74)

SA = 148

7 feet by 6 feet by 4 feet

SA = 2((7)(6) + (4)(6) + (4)(7))

SA = 2(42 + 24 + 28)

SA = 2(94)

SA = 188

8 feet by 3 feet by 7 feet

SA = 2((8)(3)+(7)(3)+(7)(8))

SA = 2(24 + 21 + 56)

SA = 2(101)

SA = 202

8 feet by 4 feet by 3 feet

SA = 2((8)(4)+(3)(4)+(3)(8))

SA = 2(32 + 12 + 24)

SA = 2(68)

SA = 136

3 0

3 years ago