I want a way to solve such a problem​

Squaring a number means multiplying the same number by itself.

For example,

[tex]\\2 \cdot 2 =2^2\\\\a\cdot a =a^2~~ \\\\ (a+1)(a+1) =(a+1)^2 \\\\ (x^{10}+1)(x^{10}+1) =(x^{10}+1)^2[/tex]

Answer:

  (3, -6)

Step-by-step explanation:

The orthocenter is the point of intersection of the altitudes of the triangle. That is, each altitude goes through the orthocenter. Hence, the line from any given vertex through the orthocenter is perpendicular to the opposite side.

The attached figure shows the given points labeled A and B. Point A lies on the x-axis, as does the orthocenter, so the side opposite will be a vertical line (perpendicular to the x-axis).

The remaining side of the triangle will be perpendicular to the line from B through the origin. The line through B has slope 4/3, so the line containing side AC will have slope -3/4 and will go through point A. Its point-slope equation will be ...

  y -0 = -3/4(x +5)

We already know the x-coordinate of vertex C is the same as that of vertex B, so is x=3. Using this in the equation for side AC, we find the y-coordinate to be ...

  y = -3/4(3 +5) = -6

The coordinates of point C, the third vertex, are (3, -6).

_____

Additional comments

The slope of a line is given by ...

  m = (y2 -y1)/(x2 -x1)

When (x1, y1) = (0, 0), this reduces to ...

  m = y2/x2 . . . . . . the relation we used for the slope of line OB

__

The slope of a perpendicular line is the opposite reciprocal of the slope of a line. The line perpendicular to the one with slope 4/3 will be -1/(4/3) = -3/4.

__

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

[tex]\text{Surface Area of Prism} = (2 \times \text{Base Area}) + (\text{Base perimeter} \times \text{height})\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=(2 \times 5)+(12\times 2)\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=10+24\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=34~~ \text{cm}^2[/tex]

Answer:

Step-by-step explanation:

(y + 3) = (1/8)(x - 2)

Slope is the change in Y over the change in x.

Use 2 points on the graph(x,y) to use to solev6.

(2,3) and (0,-7)

Slope = (-7 -3) / (0-2)

Slope = -10/-2

Slope = 5

Answer: A the slope is 5

Answer:

x= 11°

Step-by-step explanation:

∠BAC= ∠ACD (alt. ∠s, AB//CD)

∠BAC= 33°

∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)

33° +2x= 5x

5x -2x= 33°

3x= 33°

x= 33° ÷3

x= 11°

_____

Alternatively,

∠ACB= 180° -5x (adj. ∠s on a str. line)

∠BCD +∠ABC= 180° (int. ∠s, AB//CD)

∠ACB +∠ACD +2x= 180°

180° -5x +33° +2x= 180°

Minus 180° on both sides:

-5x +2x +33°= 0

5x -2x= 33°

3x= 33°

x= 11°

Answer:

12.4

Step-by-step explanation:

Answer:

1. decrease by 8%

2. decrease by 11%

3. increase by 8%

4. increase by 11%

Step-by-step explanation:

Answer:

27i.

Step-by-step explanation:

a^3b = (-3)^3 * -i

= -27 * -i

= 27i.

Answer:

f(-4a) = -16a + 8

Step-by-step explanation:

Substitute -4a into the equation

4x(-4a) + 8 = -16a +8

ithink this is the literal answer

Step-by-step explanation:

C = 2πr = 2 x π x 6 = 37.69911

Answer:

I do not know English

Step-by-step explanation:

<3333

Answer:

18

Not sure though but I hope i help you ☺️❤️

[tex]\text{First term, a =6}\\\\\text{Common difference, d = 13 -6 = 7}\\\\\text{Nth term} = a+(n-1)d = 6 +(n-1)7 = 6+7n-7 = 7n-1\\\\\text{60th term} = 7(60) -1 = 419[/tex]

Answer:

put rice with chicken

Step-by-step explanation:

Multiply total students by the percentage:

600 x 80% = 600 x 0.80 = 480

480 students want more field trips.

Answer: 6x^3

Step-by-step explanation:

Patterns are used to represent sequence of numbers.

The shape at the 50th position is a triangle

The pattern rule is given as: square, triangle, circle, oval.

The number of shapes (n) is given as:

[tex]n =4[/tex]

So, the 50th shape is calculated using the following absolute operator

[tex]Shape = 50\%4[/tex]

i.e. divide 50 by 4, and take note of the remainder.

When 50 is divided by 4, the remainder is 2

So, we have:

[tex]Shape =2[/tex]

This means that, the shape at the 50th position is the same shape at the 2nd position.

Hence, the shape is triangle

Read more about pattern at:

https://brainly.com/question/24050043

Answer:

1/12

Step-by-step explanation:

rolling 4 on a cube= 1outcome/6 total=1/6

pulling red marble= 3 possible red marble/6 total marbles=1/2

1/6*1/2=1/12

Answer:

Option A is the correct answer

Step-by-step explanation:

We know that

1 yard = 3 foot

1 foot = 12 inch

1 yard = [tex]3\times12[/tex] inches

[tex]=36[/tex] inches

Option A is the correct answer

Answer:

ang hirap naman plss answee

Answer:

A - 144

Step-by-step explanation:

everything else would be too far

Answer:

he is incorrect.

no one can run for 5 miles everyday.

if so, my man atteo is a legend.

Answer: 27

Step-by-step explanation: LCM of 3 and 27 is 27.

Answer:

62/100 but simplified is 32/50