Mmm your all wrong it 8:00 I just took it and its said it 8:00

the absolute value of a number is the distance from 0 to the number on a number line. use absolute value notation to indicate tw

ASHA 777 [7]

Answer: It is 3 and negative -3

Step-by-step explanation:3 units away from zero forwards and back are both 3 but one is negative

7 0

3 years ago

The equation of a circle is (x + 3)2 + (y – 5)2 = 81. Determine the coordinates of the center of the circle and the length of th

Nataly_w [17]

Answer:

The center of the circle is (-3 , 5) and the length of the radius is 9 units

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- The center-radius form of the circle equation is in the format

(x – h)² + (y – k)² = r², where the center is the point (h, k) and

the radius is r.

- This form of the equation is helpful, because you can easily find

the center and the radius.

* Now lets solve the problem

- The equation is (x + 3)² + (y - 5)² = 81

- By comparing the two equations

∵ (x – h)² + (y – k)² = r² and (x + 3)² + (y - 5)² = 81

# x - h = x + 3

∴ -h = 3 ⇒ divide both sides by -1

∴ h = -3

# y - k = y - 5

∴ k = 5

# h and k are the coordinates of the center of the circle

∴ The center of the circle is (-3 , 5)

# r² = 81 ⇒ take √ for both sides

∴ r = 9

∴ The length of the radius = 9 units

* The center of the circle is (-3 , 5) and the length of the radius is 9 units

3 0

3 years ago

Find the measures of two supplementary angles if their measures are in the given ratio. 3:7

NeTakaya

Two supplementary angles are in the ratio 3:7. Find the angles ?

Let the two angles be 3x and 7x.

Supplementary angles add up to 180 degrees.

Therefore:

3x + 7x = 180

10x = 180

x = 18

3x = 3 * 18 = 54

7x = 7 * 18 = 126

4 0

3 years ago

Read 2 more answers

Find the area. 5cm 3cm 4 cm

Ostrovityanka [42]

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

$\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}$

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

Replacing a, b, and c as the given side lengths:

$\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}$

Determining the perimeter of the triangle:

$\text{Perimeter of triangle = Sum of it's side lengths}$

$\implies \text{Perimeter of triangle =}\ 5 + 4 + 3$

$\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}$

Determining the half of perimeter:

$\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}$

$\implies s = \dfrac{12}{2}$

$\implies s = 6$

Replacing the value of "s" in the formula:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

Evaluating the area:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(6)}$

$\implies \text{Area of triangle} = 6 \ \text{cm}^{2}$

6 0

2 years ago

Need help on this!!!!

Alexxandr [17]

Answer:

(a) area = 3y^2 +14y +16
(b) perimeter = 8y +20

Step-by-step explanation:

Part of the point of Algebra is that you can work with things that stand for numbers (almost) as easily as working with numbers themselves. Here, you are given values that stand for the length and width of the rectangle.

(a) You know the area of a rectangle is found by multiplying its length by its width. The same is true when length and width are algebraic expressions that stand for those numbers.

Given: length = 3y+8, width = y+2

Find: area = length × width

Solution:

area = (3y+8) × (y+2)

Using the distributive property, we can perform this multiplication in essentially the same way we would for the numbers 38 and 12.

area = 3y(y +2) +8(y +2) equivalent to 30(12) +8(12)

= 3y^2 +6y +8y +16 equivalent to 30·10 +30·2 +8·10 +8·2

area = 3y^2 +14y +16 equivalent to 3·10^2 +14·10 +16

(Of course, with numbers, there are relationships between units and tens and hundreds that let us further combine terms. When variables are involved, we can combine terms with the same power of the variable, but we cannot combine "y" terms with "y^2" terms the way we can with numbers.)

___

(b) The perimeter is the sum of the lengths of the four sides of the rectangle. Since two of those sides are "length" and two are "width", we can write ...

perimeter = 2(length + width)

Making the substitution for length and width as defined above, we have

perimeter = 2((3y+8) + (y+2))

= 2(3y+y + 8+2) = 2(4y +10)

perimeter = 8y +20

5 0

3 years ago