The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches find the demensions of the rectangle

Answer:

The answer is (2, -1)

Step-by-step explanation:

The area of the circle is:

A = r²π

We know

A = 78.5

π = 3.14

78.5 = r² * 3.14

r² = 78.5 : 3.15

r² = 25

r = √25 = 5

The standard form equation of a circle is:

(x - h)² + (y - k)² = r²

We have:

(2, 4)

⇒ h = 2

   k = 4

r = 5

(x - h)² + (y - k)² = r²

(x - 2)² + (y - 4)² = 5²

(x - 2)² + (y - 4)² = 25

Now, let's substitute all choices:

(-6, 4):

(-6 - 2)² + (2 - 4)² = 25

(-8)² + (-2)² = 25

64 + 4 = 25

68 = 25

Wrong

(2, -1)

(2 - 2)² + (-1 -4)² = 25

0² + (-5)² = 25

0 + 25 = 25

25 = 25

Right

Hope this helps :p

Answer:

(2, -1)

Step-by-step explanation:

same test

Answer:

4-1x is the answer, I hope this helps and have good day:)

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

Length of segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the figure attached,

Distance between A(0, -3) and B(3, 0) = [tex]\sqrt{(3-0)^2+(0+3)^2}[/tex]

AB = [tex]3\sqrt{2}[/tex]

Distance between A'(-3.5, -4.5) and B'(-8, 0)

Length of A'B' = [tex]\sqrt{(-3.5+8)^2+(-4.5-0)^2}[/tex]

A'B' = [tex]4.5\sqrt{2}[/tex]

Scale factor for dilation = [tex]\frac{4.5\sqrt{2}}{3\sqrt{2}}=1.5[/tex]

Therefore series of transformations will be,

A dilation of figure 1 with scale factor of [tex]\frac{3}{2}[/tex] and then a reflection.

Option (4) will be the answer.

Answer:

1.46943231441048

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

148 and 7x+15 are alternate interior angles and alternate interior angles are equal when the lines are parallel

148 = 7x+15

Subtract 15 from each side

148-15 = 7x+15-15

133 =7x

Divide each side by 7

133/7 =7x/7

19=x

Step-by-step explanation:

I think it's already in standard form

Answer:

46,728.11

Step-by-step explanation:

[tex]6^{10} = 6*6*6*6*6*6*6*6*6*6[/tex]

6 multiplied by itself 10 times is equal to:

60,466,176

[tex]6^4=6*6*6*6[/tex]

6 multiplied by itself 4 times is equal to:

1,296

[tex]60,466,176/1,294 = 46728.11[/tex]

Answer:No real solutions

Step-by-step explanation:Let's solve your equation step-by-step.

−3x2−4x−4=0

For this equation: a=-3, b=-4, c=-4

−3x2+−4x+−4=0

Step 1: Use quadratic formula with a=-3, b=-4, c=-4.

x=

−b±√b2−4ac

2a

x=

−(−4)±√(−4)2−4(−3)(−4)

2(−3)

x=

4±√−32

−6

Answer:

system 2

Step-by-step explanation:

hope it helps!!!!!!

Answer: -7

Step-by-step explanation:

Answer:

Johnny is 7

Step-by-step explanation:

multiply 4 by 3 as johnny is 5 years younger then 3 times the age of Johnson and Johnson is 4 so we get 12 then we subtract 5 and get 7

Answer:

0

Step-by-step explanation:

Answer:

should be 8

Step-by-step explanation:

Answer:

$ 26 . 25this is a answer

Answer:

The last answer choice $8.75

Step-by-step explanation:

(35*25)/100

= 875/100

=8.75

Answer:

7,408.8

Step-by-step explanation:

multiply 4.9 by 1512

Answer & Step-by-step explanation:

4(t + 2) = 10

4t + 8 = 10

4t = 2

t = 1/2

Hope this helps

Answer:

5.7x10^-8

Step-by-step explanation:

Move the decimal 8 places to the right.

Hope this helps

Answer:

90

Step-by-step explanation:

Answer:

Which paper?...LOL...

This a question about perimeter and equation, let's see how to solve that:

The perimeter of a rectangle is the sum of its 4 sides. In this case, we know that the perimeter is 118. We can do an equation with these datas:

[tex]\boxed{AB + BC + CD + DA = 118}[/tex]

We also know other informations: the side AB is equal to [tex]4y+3[/tex] and de side BC is equal to 3y. In a recltangle, parallels sides have the same value. So, the side CD is equal to [tex]4y+3[/tex] and the side DA is equal to 3y.

Now, we have these datas:

[tex]AB + BC + CD + DA = 118\\\\AB = CD = 4y + 3\\BC = DA = 3y[/tex]

Let's do and solve an equation:

[tex]AB + BC + CD + DA = 118\\\\4y+3 + 3y + 4y+3 + 3y = 118\\14y + 6 = 118\\14y = 118 - 6\\14y = 112\\y = \frac{112}{14} \\y = 8[/tex]

So, the value of y is 8. Let's replace the value of y in the side AB:

[tex]4y + 3\\4\times 8 + 3 = 35[/tex]

Therefore, the length of side AB is 35.

Answer:

C

Step-by-step explanation:

1. Identfiy The type therom it is which is alternate interior

2. Find the converse of the alternate interior which is the oppoiste so it has to be alternate exterior angle

Answer:

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

Step-by-step explanation:

Answer: $10

Step-by-step explanation:

$4/40 golf balls = $1/10 golf balls

$1/10 = x/100, x=100/10, x=$10

Answer:

It is $10 dollars, so the person that answered before got it right

Step-by-step explanation:

$4                x

_____________

40             100

40x= 400

x=10

Answer:

123 ft

Step-by-step explanation:

create a right angle triangle from the given info.

your perpedicular will be tree height and hypotneus will be 145 feet

sin 45=Tree height/145

122.96=tree height

123 ft

The height of the tree will be equal to 123 feet.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that a zip line from the tallest tree in the forest to the campsite is 145 feet. The angle of elevation from the ground to the top of the tree is 58°.

Create a right-angle triangle from the given info. your perpendicular will be tree height and your hypotenuse will be 145 feet

sin 45=Tree height/145

122.96=tree height

123 ft

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ2

Answer: Tom is incorrect.

Step-by-step explanation: Congruent is defined as having exactly the same angle measurements and exactly the same side lengths.

In the 1/3 dilation, the angles will remain the same, but all the sides will be shorter, 1/3 the lengths of the original image. The image and pre-image are not congruent. They are similar.

Answer:

55 cents

Step-by-step explanation:

Answer: 55 cents.

Step-by-step explanation: