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2 years ago

70. Write the standard form of the equation of the line with

Mathematics

2 answers:

natulia [17]2 years ago

7 0

Answer:

Step-by-step explanation:

y-y1=m(x-x1)

y+4=-2(x+2)

y+4=-2x-4

2x+y+8=0

or 2x+y=-8

nasty-shy [4]2 years ago

6 0

Answer:

y = -2x - 8

Step-by-step explanation:

<u>Use the point slope form: (y - y1) = m(x - x1)</u>

(y - (-4)) = -2(x - (-2))

y + 4 = -2(x + 2)

y + 4 - 4 = -2x - 4 - 4

y = -2x - 8

Answer: y = -2x - 8

You might be interested in

The heights of women aged 30 to 35 are approximately Normal with mean 63 inches and standard deviation 2.4 inches. Men the same

gavmur [86]

Answer

given,

mean of women (μ)=63 inches

standard deviation of women (σ)= 2.4 inches

mean of men (μ)=70 inches

standard deviation of women (σ)= 2.5 inches

for women

$P(x>66)$

$P(x>66) = 1-P( \dfrac{x - \mu}{\sigma}$

$P(x>66) = 1-P( z$

using z-table

$P(x>66)= 1 - 0.8944$

$P(x>66)=0.1056[/tex]for men[tex]P(x>66)$

$P(x>66) = 1-P( \dfrac{x - \mu}{\sigma}$

$P(x>66) = 1-P( z$

using z-table

$P(x>66)= 1 - 0.0548$

$P(x>66)=0.9452$

4 0

3 years ago

A wall shaped like a trapezoid needs to be painted. the height of the wall is 16 feet and the bases are 20 feet and 24 feet. if

AURORKA [14]

Area of Trapezoid = h(b1+b2/2)
b1 and b2 are the lengths of each base and h is the height.

Area = 16(20+24/2)=352 Square Feet

352/20=17.6 Cans of paint.

Hope this helps and is correct, I haven't done this kind of math in a while.

4 0

2 years ago

Graph the line given by 5x+6y=12 and the circle given by x²+y²=1.Find all solutions to the system of equations.

kenny6666 [7]

Answer:

The system has no real solution.

Step-by-step explanation:

Hi there!

We have the following system of equations:

x² + y² = 1

5x + 6y = 12

The solutions of the system are those (x,y) pairs that satisfy both equations.

Let´s take the second equation and solve it for y:

5x + 6y =12

subtract 5x to both sides of the equation

6y = 12 - 5x

divide by 6 both sides

y = (12- 5x)/6

Now, let´s replace the y in the first equation:

x² + y² = 1

x² + [(12- 5x)/6]² = 1

Apply distributive property

x² + (12 - 5x)²/36 = 1

x² + (12 - 5x)(12 - 5x)/36 = 1

Apply distributive property

x² + (144 - 120x + 25x²)/36 = 1

Apply distributive property

x² + 4 - 10/3 · x + 25/36 · x² = 1

subtract 1 to both sides

61/36 · x² - 10/3 · x + 3 = 0

Using the quadratic formula, let´s find the solutions to this quadratic equation:

a = 61/36

b = -10/3

c = 3

[-b ± √(b² - 4ac)]/2a

[10/3 ± √(100/9 - 4(61/36)(3))]/2(61/36)

(10/3 ± √-83/9)/61/18

This expression has no real solution because √-83/9 is not defined in the set of real numbers. This means that both curves don´t intersect (see attached figure).

Have a nice day!