All categories

3 years ago

Determine whether the lines are parallel or perpendicular or neither. 7y+1=7x and x+5=y

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

(These steps show you how to determine whether the lines are parallel or perpendicular) -

*use the equation of straight line :
y = mx + c

You might be interested in

You are recreating a scale drawing at a different scale. The original scale is 1 cm : 8 m. The new scale is 1 cm : 2 m. In the o

densk [106]

Answer:

The segment should be 36 centimeters long

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The original scale is 1 cm : 8 m

∵ In the original drawing, the length of a segment is 9 centimeters

→ By using the ratio method

→ cm : m

→ 1 : 8

→ 9 : x

→ By using the cross multiplication

∵ 1 × x = 9 × 8

∴ x = 72 m

∴ The actual length of the segment is 72 m

∵ The new scale is 1 cm : 2 m

∵ The actual length of the segment is 72 m

→ By using the ratio method

→ cm : m

→ 1 : 2

→ y : 72

→ By using the cross multiplication

∵ y × 2 = 1 × 72

∴ 2y = 72

→ Divide both sides by 2 to find y

∴ y = 36

∴ The drawing length of the segment is 36 cm in the new scale

∴ The segment should be 36 centimeters long

6 0

3 years ago

The value of x varies with y and when x=1/3 y=12 write an equationto represent the variation

Virty [35]

Answer:

y = 36x

Step-by-step explanation:

Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = $\frac{1}{3}$ , y = 12, then

k = $\frac{y}{x}$ = $\frac{12}{\frac{1}{3} }$ = 12 × 3 = 36

y = 36x ← equation of variation

5 0

3 years ago

Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): − 3 , 4 , − 3 . Assume the leading co

oksano4ka [1.4K]

f(x) = x³ + 2x² - 15x - 36 is the equation of a degree 3 polynomial (in factored form) with the given zeros of f(x) are − 3 , 4 , − 3 assuming that the leading coefficient is 1. This can be obtained by formula of polynomial function.

<h3>Find the required equation:</h3>

The zeroes or roots of a polynomial function are x values for which f(x) = 0

If the zeroes or roots are r₁, r₂, r₃,... then possible polynomial function is

⇒ f(x) = a(x - r₁)(x - r₂)(x - r₃)

where a is the leading coefficient

Here in the question it is given that,

Polynomial should be with degree 3
zeros of f(x) are − 3 , 4 , − 3

By using the formula of polynomial function we get,

⇒ f(x) = a(x - r₁)(x - r₂)(x - r₃)

⇒ f(x) = 1(x - (-3))(x - (4))(x - (-3))

⇒ f(x) = 1(x + 3)(x - 4)(x + 3)

⇒ f(x) = (x + 3)(x² - x - 12)

⇒ f(x) = x³ - x² - 12x + 3x² - 3x - 36

⇒ f(x) = x³ + 2x² - 15x - 36

Hence f(x) = x³ + 2x² - 15x - 36 is the equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): − 3 , 4 , − 3 assuming that the leading coefficient is 1.

Learn more about polynomial function here:

brainly.com/question/12976257

#SPJ1

4 0

1 year ago

Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye

Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

$S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}$