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3 years ago

What is the y-intercept of the line that passes through (-6,2) and (4,-2) ?

Mathematics

2 answers:

LenKa [72]3 years ago

6 0

Answer:

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

-2

= -0.4

θ =

arctan( ΔY ) + 360°

ΔX

= 338.19859051365°

ΔX = 4 – -6 = 10

ΔY = -2 – 2 = -4

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -0.4x – 0.4

y =

- 2 x

– 2

When x=0, y = -0.4

When y=0, x = -1

Andre45 [30]3 years ago

5 0

Answer:

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

-2

= -0.4

θ =

arctan( ΔY ) + 360°

ΔX

= 338.19859051365°

ΔX = 4 – -6 = 10

ΔY = -2 – 2 = -4

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -0.4x – 0.4

y =

- 2 x

– 2

When x=0, y = -0.4

When y=0, x = -1

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Compare 2/3 and 2/5 right one or both of the fractions so they have the common denominator use greater than less than or equal t

lora16 [44]

Answer:

10/15 & 6/15

Step-by-step explanation:

6 0

3 years ago

Determine the center and radius of the following circle equation:

UkoKoshka [18]

Answer:

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Step-by-step explanation:

Explanation:-

Given circle equation is x² + y² +10 x + 20 y +109 =0

x² +10 x + y² + 20 y +109 =0

x² +2 (5) (x)+(5)² -(5)²+ y² +2(10) y + (10)²-(10)² +109 =0

By using formula

(a+b)² = a² + 2 a b + b²

(x + 5 )² + ( y + 10 )² - 25 - 100 + 109 = 0

(x + 5 )² + ( y + 10 )² - 16 = 0

(x + 5 )² + ( y + 10 )² = 16

(x + 5 )² + ( y + 10 )² = (4)²

The standard equation of the circle ( x - h )² + ( y -k)² = r²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Conclusion:-

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

3 0

3 years ago

Two numbers whose sum is 44 and whose product is a maximum

Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x) Remove the brackets

Max = 44x - x^2 Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x ) Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.

4 0

3 years ago

What's the area of the composite figure below ?

JulsSmile [24]

Answer:

31.13

Step-by-step explanation:

If you look carefully, you will find a semicircle and a triangle.

The total area is =

$\frac{\pi r^{2}}{2} + \frac{1}{2} \times base \times height\\$

r = 4 - 0 = 4
base = |-4-0 | = 4
height = 14 - 9 = 5

So if we put the values:

$\frac{\pi \times 4^{2}}{2} + \frac{1}{2} \times 4 \times 3\\= 31.13$

3 0

3 years ago

Identify complementary angles in the given figure.

Vanyuwa [196]

Answer:

<6 and <4

Step-by-step explanation:

Complemetary angles are angles that their measure add up to 90 degrees

the angles meet this requirment in this image are angle <6 and angle <4

6 0

3 years ago