What is the area of the triangle below (in square units)?
1 yd
1 yd

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

To Find:

x=?

Solution:  

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]

cross multiply:

[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]

Therefore, the answer is "27".

Learn more:

brainly.com/question/12149603

Answer:

[tex]3\frac{11}{12}[/tex] cups

Step-by-step explanation:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears

[tex]\frac{2}{3}[/tex] of grapes

[tex]\frac{1}{4}[/tex] of apples

[tex]\frac{1}{2}[/tex] of orange

when adding fractions, make sure all denominators are the same:

[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears

[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes

[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples

[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange

add all of the fractions:

[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]

convert to mixed fraction:

[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]

Look at the other guys

Answer:

1/3 of the pumpkin pie

Step-by-step explanation:

2 pies can equal 6 pieces, 3 pieces a pie

If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each

1/3 times 6 equals  6/3, which equals 2 pies

Answer:

[tex]P(x = 1) = 0.3970[/tex]

[tex]P(x = 2) = 0.1307[/tex]

[tex]P(x = 3) = 0.0191[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Step-by-step explanation:

Given

[tex]n =4[/tex]

[tex]p = 0.18[/tex]

Required

(a) - (d)

x | P(x)

0 | 0.452

1 |

2 |

3 |

4 |

To solve (a) to (d), we simply apply the following binomial probability formula

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

Solving (a):

[tex]x = 1[/tex]

So, we have:

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]

[tex]P(x = 1) = 0.3970[/tex]

Solving (b):

[tex]x = 2[/tex]

So, we have:

[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]

[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]

[tex]P(x = 2) = 0.1307[/tex]

Solving (c):

[tex]x = 3[/tex]

So, we have:

[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]

[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]

[tex]P(x = 3) = 0.0191[/tex]

Solving (d)

[tex]x = 4[/tex]

So, we have:

[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]

[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Answer: hi hope this helps

Step-by-step explanation:

37000 + 37000\(0.09)

is the answer.

Answer:

The answer to this problem is 4q+30

Answer:

12 is the width

Step-by-step explanation:

1. To solve this problem we must first set up an equation:

96a=8l ×?w

2. this is what this equation means 96(area) equals 8(length) times what(width)

3. so we must find out what we must multiply by 8 to get 96

4. to do this we will divide 96 by 8

which equals 12!

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18

Answer: curve 60 angle 90

Step-by-step explanation:

Answer: 40 people

Step-by-step explanation:

There were 5 pies in the party and each person that came got an equal share of 1/8.

The number of people who were there is therefore:

= Number of pies / Share each person got

= 5 ÷ 1/8

= 5 * 8/1

= 40 people

Answer:

1430

Step-by-step explanation:

S=450+70T

S= 450 + 70(14)

S=450+980

S=1430

Answer:

4

Step-by-step explanation:

24xy---> 2

-xy3--->4

x2--->2

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

[tex]y=kxz[/tex]

That means we'll want to find [tex]k[/tex] with the first point we're given: [tex](2,20,5)[/tex]

[tex]20=k(2)(5)[/tex]

[tex]20=10k[/tex]

[tex]k=2[/tex]

Which means our equation is:

[tex]y=2xz[/tex]

Now, let's plug in the [tex]x[/tex] and [tex]z[/tex] from the other point to find [tex]y[/tex].

[tex]y=2(3)(6)[/tex]

[tex]y=36[/tex]

Hope this helps!

Answer:

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

That means we'll want to find  with the first point we're given:

Which means our equation is:

Now, let's plug in the  and  from the other point to find .

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

B: (4,1)

A: (-8, 1.3)

pythagorean theorem:

a leg: .3

b leg: 13

c: 13

Answer:

x = 16

Step-by-step explanation:

vertical angles are equal

3x = 2x+16

x = 16

Answer: x = 16

Step-by-step explanation:

Since they are vertical angles, we can set them up equal to each other:

3x = 2x + 16

Now, we simply solve for x by subtracting 2x on both sides of the equation.

3x = 2x + 16

x = 16

Answer:

-5 and 9

Step-by-step explanation:

Graph the equation on a graph.

You can also simplify the equation into y=mx+b form and then graph:

y=-3(x+5)(x-9)

y=(-3x-15)(x-9)

y=-3x^2+27x-15x+135

y=-3x^2+12x+135

Answer:

A) P = DA/V

Step-by-step explanation:

D = PV/A

DA = PV

DA/V = P

Answer:

1/2

Step-by-step explanation:

you could get 2 or 4 or 6

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

The distance between the initial and final point will be 17 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

Answer:

39/100 or 39%

Step-by-step explanation:

1−(58/100+3/1000)

=39/100.

39%

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

Answer: pi/2

Step-by-step explanation:

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

Answer:

[tex]3x - 3 \leqslant 2 \times (x + 1) + x \geqslant 0 = [/tex]

Step-by-step explanation:

[tex]3x - 3 \leqslant (2 \times x) - (2 \times 1) + x \geqslant 0[/tex]