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4 years ago

solving a mathematical problem without the use of paper and pencil,calculator, or computer is called using _________ math

Mathematics

2 answers:

pashok25 [27]4 years ago

5 0

It's called mental math

r-ruslan [8.4K]4 years ago

3 0

Solving a mathematical problem without the use of paper and pencil, calculator, or computer is called using mental arithmetic math.

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Triangle ABC is formed by the vertices A(1,2,-1), B(-3,-6,2)and C(3,-2,0).

Vesnalui [34]

Answer:

Point D: $(0,-4, 1 )$

d = √41

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Pre-Calculus

Midpoint Formula [3D]: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} )$
Distance Formula [3D]: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Step-by-step explanation:

Step 1: Define

Point A(1, 2, -1)

Point B(-3, -6, 2)

Point C(3, -2, 0)

Step 2: Find Point D

Simply plug in your coordinates B and C into the midpoint formula to find midpoint

Substitute [MF]: $(\frac{-3+3}{2},\frac{-6-2}{2}, \frac{2+0}{2} )$
Add/Subtract: $(\frac{0}{2},\frac{-8}{2}, \frac{2}{2} )$
Divide: $(0,-4, 1 )$

Step 3: Find distance d

Simply plug in the 2 coordinates A and D into the distance formula to find distance d

Substitute [DF]: $d = \sqrt{(0-1)^2+(-4-2)^2+(1+1)^2}$
Subtract/Add: $d = \sqrt{(-1)^2+(-6)^2+(2)^2}$
Exponents: $d = \sqrt{1+36+4}$
Add: $d = \sqrt{41}$

5 0

3 years ago

Use the remainder theorem to find the remainder for (x ^5 + 32) divided by (x+2) and state whether or not the binomial is a fact

marta [7]

$x+2$ is a factor of $x^5+32$ because (by the remainder theorem) the remainder upon dividing $x^5+32$ by $x+2$ is $(-2)^5+32=0$ .

There's also the sum of fifth powers formula,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)$

3 0

3 years ago

Read 2 more answers

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wed

Lana71 [14]

D is the correct answer. Mike and Kate require $8000 for their wedding and have saved $4000 already, so they need a further $4000. They have saved the money over 12 months, which means they have been saving $333.33 every month (4000/12). In Option A they have 10 months to save money - the original 8 months, plus the 2 months the wedding is postponed. This will give them the chance to save $3333.33 (333.33 x 10). In Option B, they can increase their monthly savings by $80, giving them total monthly savings of $413.33 (333.33 + 80). In the remaining 8 months before the wedding, they will be able to save $3306.66 (413.33 x 8). However, neither of these options give them the $4000 required to make their $8000 budget.

4 0

4 years ago

4x2 + 4x =- 4 Find the solutions to the Quadratic equation.

VashaNatasha [74]

Answer:

x=-3

Step-by-step explanation:

(4)(2) + 4x = -4

multiply the 4 and 2

8 + 4x = -4

subtract 8 from both sides

4x = -12

divide both sides by 4

x = -3

7 0

4 years ago

He paid $175 for electric, $600 for his lease, $2,025 for supplies in the month of February. He sold 77 shoes for $80 per shoe i

natta225 [31]

Answer:

3360

Step-by-step explanation:

(77x80)-(175+600+2025)

6 0

3 years ago