15 points!

What is the equation of a circle with center (-3,2) and radius 4?

(x - 3)² + (y + 2)² = 16

(x - 3)² + (y + 2)² = 2

(x - 2)² + (y - 3)² = 4

(x + 3)² + (y + 2)² = 2

(x + 3)² + (y - 2)² = 16

(x - 3)² + (y - 2)² = 4

Answer:

x=9

Angles = 50

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

4x+14 = 6x-4

Subtract 4x from each side

4x+14-4x = 6x-4-4x

14 = 2x-4

Add 4 to each side

14+4 = 2x-4+4

18 =2x

Divide by 2

18/2 =2x/2

9 =x

The angles are equal

4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50

Answer:

The probability that I will choose a consonant is 62.50%.

Step-by-step explanation:

Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:

Vowels: 3

Consonants: 5

5/8 = X

0.625 = X

0.625 x 100 = 62.50

Therefore, the probability that I will choose a consonant is 62.50%.

1/√2

Step-by-step explanation:

Imagine a right-angled triangle, for e.g. Triangle ABC,

Where

B = 90°

Remember your Toa Cah Soh.

sin 45° = opposite / hypotenuse

If theta = 45°

Angles A and C = 45° (Sum of angles in a triangle equal = 180°)

Since theta are the same, we can also deduce that the length AB and BC are the same.

Take for example AB = BC = 1 = opposite

By the Pythagorean theorem,

AB² + BC² = AC²

1² + 1² = AC²

2 = AC²

AC = √2 = hypotenuse

Therefore:

sin 45° = opposite / hypotenuse

sin 45° = 1/√2

Answer:

the circumference is 37.7 cm

Answer:

circumference = 37.7

Step-by-step explanation:

in the photo I explained the formula of how to find the circumference

Answer:

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

5+x  +75 = 180

Combine like terms

x+80 = 180

Subtract 80 from each side

x +80-80=180-80

x = 100

Answer:

x=100°

Step-by-step explanation:

(5+x)°+75°=180°(being a straight line)

x=100°

Answer:

33.48

Step-by-step explanation:

Find the diagram attached

Opposite  = 32

Hypotnuse = 58

Sin theta = opposite/hypotenuse

Sin theta = 32/58

Sin theta = 0.5517

theta = arcsin(0.5517)

theta = 33.48

Hence the value of x to the nearest tenth is 33.48

Answer:

(-2 , 5) (2 , 3)

m = y2 - y1 / x2 - x1

= 3 - 5 / 2 + 2

- 2 / 4 = - 1/2

- 1/2 = y - 3 / x - 2

cross multiply and u get

y = -0.5x + 4

Answer:

Line AC

Step-by-step explanation:

Given

See attachment for triangles

Required

60 degrees clockwise rotation about A

Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]

So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.

The closest is line AC;

Hence, AC is [tex]60^o[/tex] clockwise of point A

Answer:

2−9  

Step-by-step explanation:

You take redundant away, then do subtract, then combine terms. It will give solution.

Technically, we don't have enough info so it could go either way.

==========================================================

Explanation:

We can see that the sides are proportional to each other, but we don't know anything about the angles. We need to know if the angles are the same. If they are, then the hexagons are similar. If the angles are different, then the figures are not similar.

Right now we simply don't have enough info. So they could be similar, or they may not be. The best answer (in my opinion) is "not enough info". However, your teacher likely wants you to pick one side or the other. We can't pick "similar" so it's best to go with "not similar" until more info comes along the way.

Answer:

Adobe Family Tools

Step-by-step explanation:

Answer:

0.07

Step-by-step explanation:

To round a decimal to the nearest hundredth, look at the thousandths place.

If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.

If it is smaller than 5, we will keep the number the same.

In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.

The hundredths place value is 0.06, so we will round it up to 0.07.

So, 0.065 will round to 0.07.

Answer:

l=40

Step-by-step explanation:

The area is calculated as

A = wl

1200=30l

1200/30=l

40=l

Answer:

-1

Step-by-step explanation:

To find the slope given two points

m = ( y2-y1)/(x2-x1)

    = ( 8 - 2)/( -3 -3)

    = 6 / -6

    = -1

Answer:

79 inches

Step-by-step explanation:

2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in

rounded

79 inches

Answer:

4.47

Step-by-step explanation:

A squared + B squared = C squared

4*4=16 2*2=4  16+4=20  

the square root of 20 is 4.472135955, rounded to the nearest hundreth is 4.47

Answer:

[tex]\frac{1}{3(x-2)}[/tex]

Step-by-step explanation:

Hi there!

We need to multiply the fractions:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]

Before we multiply, we can cancel out and factor the polynomials to make multiplying easier

First, we can factor x²+x-6

1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers

Those numbers are -2 and 3

so when we factor, we get:

(x-2)(x+3)

here are the fractions so far:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]

we can cancel out x+3 on both fractions

[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]

we can also cancel out 4x from both fractions

[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]

now multiply the fractions together

[tex]\frac{1}{3(x-2)}[/tex]

So the first option is your answer

Hope this helps! :)

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Answer:

It's [tex]3x^4+22x^3+31x^2-6[/tex]

Step-by-step explanation:

Area is L times width

LW=H

and the length is [tex]3x^2+4x-1[/tex] times the width [tex]x^2+6x+3[/tex]

basically you multiply yhem togetheer and combine like terms and voila

The answer is 3x^4 + 24x^2 - 6

explanation:

A = l × w

= (3x^2+4x-2)(x^2+6x+3)

=(3x × x) + (4x×6x) + (-2×3)

= 3x^2 + 24x^2 - 6

Answer:

x=10

Step-by-step explanation:

To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, [tex]\sqrt{100}[/tex] = 10.

Answer:

It's 10

Step-by-step explanation:

C^2=A^2+B^2blank

C=√(A^2+B^2)

If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10

Answer:

1-2i

Step-by-step explanation:

Divide: 5 + 2i by 3 + 4i.

Given data

5 + 2i by 3 + 4i.

We have the expression as

(5 + 2i)/(3 + 4i)

Rationalize the denominator

(5 + 2i)/(3 + 4i)* (3 -4i)/(3 -4i)

=(5*3-20i+6i-8i^2)/9-12i-12i+16i^2

=15-14i+8/9-16

=7-14i/-7

=1-2i

Answer:

A=4cm

ok to do this we do the formula

A=PiR^2

A=3.14*4^2

A=3.14*16

A=50.24

and the area of circle B is 4 times the area of a so

50.24*4=200.96

200.96=3.14*X^2

Since  r  is on the right side of the equation, switch the sides so it is on the left side of the equation. 3.14 ⋅ r 2 = 200.96  Divide each term by  3.14  and simplify.

r 2 = 64

r=8

CIRLCE A=50.24

CIRLCE B=8

Answer:

cone a is the correct answer

the third choice is the cirrect answer.

the cone with a 4.5 cm height and a 8cm diameter

hope this helps :)

Answer:

30 dólares es la ganancia neta.

Step-by-step explanation:

En la primera transacción, el hombre está perdiendo 50 dólares:

1. -50 dólares

En la segunda transacción, el hombre gana 70 dólares:

2. -50 + 70 = +20 dólares

En la tercera transacción pierde 80 dólares:

3. 20 - 80 dólares = -60 dólares

Y en la última transacción, la ganancia es de 90 dólares. Así, la ganancia neta es:

4. -60 dólares + 90 dólares =

Both equations represent straight lines

The first line has slope of 2 and y-intercept at -3

The second line gas slope of 2 and y-interceot at +3

you may now try to plot these two lines on the paper

Answer: B: 1/8

Step-by-step explanation: the formula for volume of a cube is a^3, so I 1/2^3 = 1/8

your answer is B: 1/8