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4 years ago

What is 4and1/5 as a decimal

Mathematics

2 answers:

Setler79 [48]4 years ago

8 0

The answer would be 4.2

Degger [83]4 years ago

5 0

It is 4.2 420% so it equals to 4.2

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The function f(x) = -x^2 - 2x + 15 is shown on the graph. What are the domain and range of the function?

gulaghasi [49]

R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS* [(-∞, ∞)].

6 0

4 years ago

Find an equation in rectangular coordinates for the cylindrical equation r = 2sintheta

frutty [35]

Answer:

$x^2+(y-1)^2=1$

Step-by-step explanation:

The given cylindrical equation is

$r=2\sin \theta$

Multiply both sides by r.

$r^2=2r\sin \theta$ .... (1)

The required formulas are

$x=r\cos \theta,y=r\sin \theta,r^2=x^2+y^2$

Substitute $r\sin \theta =y,r^2=x^2+y^2$ in equation (1).

$x^2+y^2=2y$

$x^2+y^2-2y=0$

Add 1 on both sides.

$x^2+(y^2-2y+1)=1$

$(x-0)^2+(y-1)^2=1^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

It is the equation of a circle centered at (0,1) with radius 1.

Therefore, the equation in rectangular coordinates is $x^2+(y-1)^2=1$ .

3 0

4 years ago

3. What are the intersection points of the line whose equation is y=3x +3 and the

densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

→ (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = $\frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}$

x = $\frac{-7\pm \sqrt{169}}{10}$

x = $\frac{-7\pm13}{10}$

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0

3 years ago

timmy was asked to order nine pizzas, with the following orders: one pepperoni and one cheese how many did he order in total

Romashka [77]

11 pizza's.

9 + 1 + 1 = 11

7 0

4 years ago

Read 2 more answers

Please help me please please : ( : (

Gala2k [10]

Answer:

They will be picked up at 2 $\frac{1}{4}$ yards above sea level

Step-by-step explanation:

Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.

With respect to this reference,

the position of top most point is +17 $\frac{3}{4}$ yards

and the position of lower most point is -13 $\frac{1}{4}$ yards

⇒ The position of midpoint is $\frac{+17 \frac{3}{4} - 13 \frac{1}{4}}{2}$

= +2 $\frac{1}{4}$

∴ <u>They will be picked up at 2 $\frac{1}{4}$ yards above sea level</u>

6 0

3 years ago