What is the slope of the line that is perpendicular to the line that passes through (-3, 6) and (6, 8)?

Answer:

12.25π + 77, or approximately 114.48.

Step-by-step explanation:

We can divide the figure into two semicircles (which equal to one circle) and a rectangle. We know that the diameter of the circles is 7, which means the radius is 3.5. Since all points on the circle are equidistant from the center point, we can subtract 18 - 3.5 - 3.5 = 11. Therefore, the dimensions of the rectangle are 11 x 7, which means the area of the rectangle is 77. The formula for the area of a circle is πr^2. There are two semicircles, which means the sum of them both will equal one circle, since they have the same radius. The sum of the areas of the two semicircles equate to 12.25π. The area of the figure is 12.25 + 77, or approximately 114.48.

Answer:

Step-by-step explanation:

The area of 1 face is s^2

The area of 6 faces is 6s^2

6s^2 = 433.5                 Divide by 6

s^2 = 433.5 / 6

s^2 = 72.25                   Take the square root of both sides

sqrt(s^2) = sqrt(72.25)

s = 8.5

Normally you would find the volume of parallelepiped by using L * W * H

Since L W and H are all equal in a cube, the volume = s^3

S^3 = 8.5^3 = 614.125

Answer:

1/6 (simplified)

Step-by-step explanation:

It's 3/18, but in most cases you should simplify unless it says to not.

Answer:

[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]

Answer:

$180

Step-by-step explanation:

9% = 0.09

2000 * 0.09 = 180

We can't see what you are talking about. send another one.

Answer:

$389.73 in change

Step-by-step explanation

500-( (18.95 x 3)+(26.71 x 2) )=

500-(56.85+53.42)=

500-110.27=

389.73

Answer:

Step-by-step explanation:

x - 3y = -13

x = -13 + 3y

3 * (-13 + 3y) + 7y = 25

-39 + 9y + 7y = 25

16y = 64

y = 4

3x + 7 * 4 = 25

3x = -3

x = -1

Answer: (-1, 4)

Answer:

Peter needs to get 36 problems correct to get 12 stars

Step-by-step explanation:

for every 3 correct answers, Peter gets 1 star

1/3

if he wants 12 stars he will have to get 'x' amount of questions correctly

considering this is constant, 1/3 will have to equal 12/x

[tex]\frac{1}{3} = \frac{12}{x} \\\\1x = 36\\[/tex]

1x = x, so you don't need to do anything to 36

therefore the answer is that you need to get 36 problems correct to get 12 stars

Answer:

35 or A

Step-by-step explanation:

This is a combinations problem because the order doesn't matter (it's a council, not like president and v.p.). C(7, 3) is 7!/(4!*3!) = 7*6*5/3*2 = 35. Hope this helps! :)

Answer:

zero

Step-by-step explanation:

everything is theoretically possible

Answer:

u need to provide data where is data

Answer and Step-by-step explanation:

Everything is in the picture.

Lines are forever, so they have an arrow at each end.

Line segments have a dot at each end, so they don't go on forever.

A ray has a dot on one end and an arrow on the other, so one side goes on forever.

An angle can be acute, right, or obtuse.

#teamtrees #PAW (Plant And Water)

Answer: its B.

Step-by-step explanation:

have a good day hope this help

Answer:

B.3

Step-by-step explanation:

just divide 6 by 2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²

                      = x(x  - 3y) - 2y(x - 3y)

                      = (x - 3y)(x -2y)

x² - 4xy + 3y² = x² -xy - 3xy + 3y²

                      = x(x - y) - 3y(x - y)

                      = (x - y)(x - 3y)

x² - 3xy + 2y² = x² - xy - 2xy + 2y²

                      = x(x - y) - 2y(x - y)

                     = (x - y)(x - 2y)

Least common denominator = (x-y)(x - 2y)(x - 3y)

[tex]RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}[/tex]

Step-by-step explanation:

Given

Two lines are [tex]4x+3y=6[/tex] and [tex]6x+2y=10[/tex]

Two lines [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex] will intersect when

[tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex]

for the given lines

[tex]a_1=4,a_2=6,b_1=3,b_2=2[/tex]

[tex]\therefore \dfrac{4}{6}\neq \dfrac{3}{2}\\\\\dfrac{2}{3}\neq\dfrac{3}{2}[/tex]

Hence, lines are intersecting

Answer: [tex]\dfrac{49}{50}[/tex]

Step-by-step explanation:

Given

Length of the stick is [tex]2y\ m[/tex]

A piece of [tex]4y\ cm[/tex] is cut

We know, 1 m=100 cm

So, [tex]2y\ m[/tex] in cm is [tex]200y\ cm[/tex]

Remaining length after cut is

[tex]\Rightarrow 200y-4y=196y[/tex]

Fraction of length that is left after the cut is

[tex]\Rightarrow \dfrac{196y}{200y}\\\\\Rightarrow \dfrac{49}{50}[/tex]

Thus, [tex]\frac{49}{50}[/tex] fraction of original stick remains after cut

Answer:

[tex]secA = \frac{65}{63}[/tex]

Step-by-step explanation:

[tex]cosec A = \frac{65}{16}\\\\sin A = \frac{1}{cosecA} = \frac{16}{65}\\\\cos^2 A = 1 - sin^2 A[/tex]

        [tex]= 1 - (\frac{16}{65})^2\\\\=\frac{4225-256}{4225}\\\\=\frac{3969}{4225}\\[/tex]

[tex]cos A = \sqrt{\frac{3696}{4225}} = \frac{63}{65}[/tex]

[tex]secA = \frac{1}{cosA} = \frac{65}{63}[/tex]

Answer:

[tex]\overline{PO}\cong \overline{SO}[/tex]

Step-by-step explanation:

SAS (Side-Angle-Side) is a proof of congruence for two triangles. It states that when two triangles share two sides and the angle between them, they are congruent. Therefore, if PO and SO are proven to be congruent, the two triangles in the figure will share two sides and the angle between them, thus being congruent.

Answer:

The answer is 129

Step-by-step explanation:

5(exponent 4)/5 = 125 +4 equals 129

I think

Answer:

129

Step-by-step explanation:

5^4 / 5   + 4

We know that a^b / a^c = a^(b-c)

5^(4-1) +5

5^3 +4

125 +4

129

Answer:

-1049

Step-by-step explanation:

Let's assume it's a arithmetic sequence

a_1 = -26

d = a_2-a_1 = -11

==> a_94 = a_1+93*d = -1049

Answer:

-1071

Step-by-step explanation:

Let the common difference be 'd'.

d is 11

Find the difference from a (first term) and 11

Then use (n-1)

Answer:

12x+12

Step-by-step explanation:

Multiply 3 to everything in the parenthesis

so it becomes

18+12x-15

=12x+12

Answer:

aef true and bcd false

hope u get well in your exams

Step-by-step explanation:

Answer:

The measure of angle R is 112 degrees

Step-by-step explanation:

Using the given markings, we can see that we have an isosceles triangle

so RT is also 3x-2

Mathematically, the sum of the interior angles of a triangle is 180:

Thus;

9x + 4 + (3x-2) + (3x-2) = 180

9x + 3x +3x + 4-2-2 = 180

15x = 180

x = 180/15

x = 12

Recall; Angle R is 9x + 4

= 9(12) + 4 = 108 + 4 = 112

Answer:

Step-by-step explanation:

According to the theorem, the angle measuring 110 is one-half the measure of the arc it intercepts. That means that the major arc (this arc of which I'm speaking) measures 110 * 2 = 220.

Since the outside of a circle, regardless of how big or small the circle is, has a degree measure of 360, then x = 360 - 220 so

x = 140°

Answer:

2

Step-by-step explanation:

she will have 2 arangments of one rose and two daisies.

Answer:

2

Step-by-step explanation:

group off the daisies and rose

2 Rose's

4 raises

in order to make it identical

group 1 consist of ( 1 rose and 2 daisies)

group 2 consist of (1 rose and 2 daises)

only 2 bouquets

Answer:

I think $3620.51

Step-by-step explanation:

If i did it right, the equation should be something like this?

13,000(.88)^10

Answer:

7.5 litres

Step-by-step explanation:

Let the amount of orange juice ve 3x litres and amount of grapefruit juice be 1x. (As they are in ratio of 3:1.)

Now, according to the question,

So,

⇒ Amount of orange juice + Amount of grape fruit juice = 10 litres

⇒ 3x + x = 10

⇒ 4x = 10

⇒ x = 10 ÷ 4

⇒ x = 2.5

Now,

⇒ Amount of orange juice he used= 3x litres

⇒ Amount of orange juice he used= 3(2.5) litres

⇒ Amount of orange juice he used= 7.5 litres

∴ He used 7.5 litres of orange juice.