All categories

2 years ago

Rewrite the equation y + 6 = -5(x + 3) into general form (ax + by + c = 0)

Mathematics

2 answers:

vodomira [7]2 years ago

8 0

Answer:

5x + y = -21

Step-by-step explanation:

y + 6 = -5x - 15

5x + y + 6 = -15

5x + y = -21

Marina86 [1]2 years ago

4 0

<h3>Answer: 5x + y + 21 = 0</h3>

Work Shown:

y + 6 = -5(x + 3)

y + 6 = -5x - 15

y + 6 + 5x + 15 = 0

5x + y + 21 = 0

The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.

You might be interested in

Multiple the following:

fredd [130]

Answer:

1.-9x^2

2.16x^4

3.x^2+4x

4.x^2+4x+4

5.x^2-x-12

6.x^4+2x^3-4x^2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Point A, located at (-2, 4), is translated down 6 units. What are the coordinates of A'?

lara [203]

(-8, 4) hope that helps

3 0

2 years ago

Read 2 more answers

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 96 yards, what are its

Pachacha [2.7K]

Width = x
length = 2x

96 = x + x + 2x + 2x
96 = 6x
x = 16

2x is simply 16 × 2.

8 0

2 years ago

The centers for disease control and prevention reported that 25% of baby boys 6-8 months old in the united states weigh more tha

melisa1 [442]

Answer:

0.1971 ( approx )

Step-by-step explanation:

Let X represents the event of weighing more than 20 pounds,

Since, the binomial distribution formula is,

$P(x)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

Given,

The probability of weighing more than 20 pounds, p = 25% = 0.25,

⇒ The probability of not weighing more than 20 pounds, q = 1-p = 0.75

Total number of samples, n = 16,

Hence, the probability that fewer than 3 weigh more than 20 pounds,

$P(X$

$=^{16}C_0 (0.25)^0 (0.75)^{16-0}+^{16}C_1 (0.25)^1 (0.75)^{16-1}+^{16}C_2 (0.25)^2 (0.75)^{16-2}$

$=(0.75)^{16}+16(0.25)(0.75)^{15}+120(0.25)^2(0.75)^{14}$

$=0.1971110499$

$\approx 0.1971$

3 0

2 years ago

What is the standard form when your ordered pairs are (4,5) and your slope is 5/4?

lara31 [8.8K]

The slope (m) and the ordered pairs are given.
In order to arrive at the standard form : AX + BY = C, we need to form the slope-intercept form first : y = mx + b

Substitute the values in order to get the intercept (b)
y = mx + b
5 = 5/4 * 4 + b
5 = 5 + b
b = 0

So given the m = 5/4, b = 0
y = mx + b
y = 5/4x+ 0

Converting it to Standard Form
y = 5/4x + 0
5/4x - y = 0 (multiply both sides by 4)
5x - 4y = 0

<span>So the Standard form is 5x - 4y = 0</span>

3 0

2 years ago