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Charra [1.4K]
3 years ago
14

What will be the new position of the given point (7,4) after translation of 2 units left and 4 units up

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

2,-2

Step-by-step explanation:

Because you move left and gou up 4

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The stopping distance of a car is modeled by the function d = 0.05r(r + 2) where d is the stopping distance of the car measured
adell [148]

Answer:

The car was moving approximately at a speed of 37.74 miles per hour.

Step-by-step explanation:

We are given the following in the question:

The stopping distance of a car is given by

d = 0.05r(r + 2)

where d is the stopping distance in feet and r is speed of the car in miles per hour.

The stopping distance is 75 feet, we have to find the speed of the car,

Putting d = 75 in the equation, we get,

75 = 0.05r(r + 2)\\r^2 + 2r = 1500\\r^2 + 2r-1500 = 0\\\\r =\dfrac{-2\pm \sqrt{4-(4)(1)(-1500)}}{2}\\\\r\approx -39.74,37.74

Thus, the car was moving approximately at a speed of 37.74 miles per hour.

3 0
3 years ago
Solve the following system of equations y=3x^2+24+10<br> 3x + y = 10
yan [13]

Answer:

y=3x^2+34

3x+y-10=0

Step-by-step explanation:

3 0
3 years ago
A binary operation is defined on the set of real numbers ℝ by
zloy xaker [14]

Answer:

I. m = 2401

II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Step-by-step explanation:

I. Determination of m

x ∆ y = x² − 2xy + y²

2 ∆ − 5 = √m

2² − 2(2 × –5) + (–5)² = √m

4 – 2(–10) + 25 = √m

4 + 20 + 25 = √m

49 = √m

Take the square of both side

49² = m

2401 = m

m = 2401

II. Simplify ((n+1) ∆ y)/n

We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:

x ∆ y = x² − 2xy + y²

(n+1) ∆ y = (n+1)² – 2(n+1)y + y²

(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²

(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1

(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1

(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1

(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1

(n+1) ∆ y = (n – y + 2)(n – y) + 1

((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n

((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

7 0
3 years ago
An 18 foot ladder is leaned against a wall if the base of the ladder is 8 feet from the wall how high up on the wall will the la
Aloiza [94]

Answer:

16.12ft

Step-by-step explanation:

Check attachment

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3 years ago
HELPPPPPPP
statuscvo [17]

Answer:

Step-by-step explanation: so to convert degrees to radians, you multiply your number by pi/180. You then have 96pi/180 radians. Reduce the fraction to simplest form and u have 8pi/15

3 0
3 years ago
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