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Ipatiy [6.2K]
2 years ago
11

A line passes through the point (0,6) and is parallel to the line with the equation y =

Mathematics
2 answers:
Tresset [83]2 years ago
8 0

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

y = 1/5x + 6

Best Regards!

Delicious77 [7]2 years ago
3 0

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{5} x - 5 ← is in slope- intercept form

with slope m = \frac{1}{5}

Parallel lines have equal slopes, thus parallel line has slope of \frac{1}{5}

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = \frac{1}{5} x + 6 ← equation of parallel line → A

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If the perimeter of the triangle is 32 cm what is the length of each two sides? Write and solve equation
scZoUnD [109]

Answer:

12 centimeters

Step-by-step explanation:

An isosceles triangle has two congruent sides which are legs(2 sides having same length )If x is length of each leg, then we ca write the equation like this

equation: x+x+8=32

combine like terms

2x +8 = 32

minus 8 from each side

2x=32-8

2x=24

divide both sides by 2

2x/2 = 24/2

x=12 centimeters

3 0
3 years ago
Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -4 (multiplicity 3), 1 (
yuradex [85]

Answer:

Step-by-step explanation:

Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.

The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.

The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).

The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320

(0+4)^3*(0-1)*k = 320

-64k = 320

k = -5

Combining all three conditions, f(x)

= -5(x+4)^3*(x-1)

= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)

= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)

= -5(x^4 + 11x^3 + 36x^2 + 16x -64)

= -5x^3 -55x^3 - 180x^2 - 80x + 320

8 0
2 years ago
Read 2 more answers
A certain shop repairs both audio and video components. Let A denote the event that the next
alexdok [17]

Answer:

0.12 is the required probability.

Step-by-step explanation:

We are given the following in the question:

A: next  component brought in for repair is an audio component

B: event that the next component  is a compact disc player

B \in A

P(A)= 0.6\\P(B) =0.05

We have to evaluate:

P(B|A) = \dfrac{P(B\cap A)}{P(A)}\\P(B|A) = \dfrac{P(B)}{P(A)}\\\\P(B|A) = \dfrac{0.05}{0.6} = 0.12

0.12 is the required probability.

3 0
3 years ago
A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet pe
Nuetrik [128]

Answer: 46.90mins

Step-by-step explanation:

The given data:

The diameter of the balloon = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.

Solution:

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon

= 4/3 × 3.14 × 55³

= 696556.67 ft³

When the volume 2/3 the maximum volume

= 2/3 × 696556.67 ft³

= 464371.11 ft³

The radius, r₂ at the point is

= 4/3·π·r₂³

= 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4

= 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the

above length

Time taken for the radius to increase the length.

= is 70.369 ft/(1.5 ft/min)

= 46.90 minutes

46.90mins is the time taken to inflate the balloon.

5 0
2 years ago
Factorize the expression below pls help giving brainliest
vekshin1

Answer:

See answer below

Step-by-step explanation:

2b(2ab)² - a(2b²)² = XaY³(z - b)

2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)

8a^2b^3 - 4ab^4 = XaY^3(z - b)

4ab^3(2a-b) = XaY^3(z - b)

X = 4

y = b

z = 2a

7 0
2 years ago
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