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marysya [2.9K]
3 years ago
6

Y=2/3x + 7 in standard form

Mathematics
2 answers:
sasho [114]3 years ago
7 0

Answer:

The equation in standard form is 2/3 x−y=7.

Step-by-step explanation:

The standard form for a linear equation is A <em>x </em>B <em>y</em> = C, where A ,B, and C are numbers, and<em> x</em> and <em>y</em> are variables.

<em>y</em>=2/3<em>x</em>−7

Subtract 2/3<em>x</em> from both sides of the equation.

−2/3 x+y =−7

Multiply both sides by −1.

2/3 x−y =7

A=2/3, B=−1, C=7

Nata [24]3 years ago
5 0

Answer:

-2/3x+y=7

Step-by-step explanation:

standard is AxBy=C

so move the 2/3 over to get 7 by itself.  

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Three trapezoids have the same base lengths, but different angle measures. Which trapezoid has the greatest area? Explain. The a
Alex
The area of the 3 trapezoid would be all equal because the formula of the area of the trapezoid is :
A = h (b1 + b2) / 2
since the length of the base are equal in all three trapezoid, then the angle is not part in the equation of the area so the angle of the trapezoid does not affect its area. so that is why all the three trapezoid have equal area even with different angles.
8 0
3 years ago
Algebra 1 help please!
Vsevolod [243]

Answer:

x=46 and y=45

Step-by-step explanation:

To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is x+y=91. For the next equation, it says that the difference of those same numbers is 1, which means that the equation is x-y=1. Now, putting those two together for the system of equations, it's easiest to add them. The result will be 2x=92 which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.

Hope this helped!

7 0
3 years ago
Can someone see if this is right
iren [92.7K]
Correct, the answer is B.
5 0
3 years ago
Read 2 more answers
A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16
maw [93]

Answer:

Step-by-step explanation:

First we need to factorize the given area of the rectangle as shown;

Given

A(x) = x^2-10x+16

Factorize

A(x) = x²-8x-2x+16

A(x) = (x²-8x)-(2x+16)

A(x) = x(x-8)-2(x-8)

A(x) = (x-2)(x-8)

Since area of a rectangle = length ×width

Hence the binomial that represents the width of the pool is w(x) = x-2

b) If the width of the deck is 17feet

Width = x-2

17 = x-2

x = 17+2

x = 19feet

Get the length

Length = x-8

Length = 19-8

Length = 11

Get the perimeter

P = 2(L+W)

P = 2(17+11)

P =2(28)

P = 56feet

Perimeter of the deck is 56feet

8 0
3 years ago
Police Chase: A speeder traveling 40 miles per hour (in a 25 mph zone) passes a stopped police car which immediately takes off a
zubka84 [21]

Answer:

a. 18.34 s b. 327.92 m

Step-by-step explanation:

a. How long before the police car catches the speeder who continued traveling at 40 miles/hour

The acceleration of the car a in 10 s from 0 to 55 mi/h is a = (v - u)/t where u = initial velocity = 0 m/s, v = final velocity = 55 mi/h = 55 × 1609 m/3600 s = 24.58 m/s and t = time = 10 s.

So, a =  (v - u)/t =  (24.58 m/s - 0 m/s)/10 s = 24.58 m/s ÷ 10 s = 2.458 m/s².

The distance moved by the police car in 10 s is gotten from

s = ut + 1/2at² where u = initial velocity of police car = 0 m/s, a = acceleration = 2.458 m/s² and t = time = 10 s.

s = 0 m/s × 10 s + 1/2 × 2.458 m/s² (10)²

s = 0 m + 1/2 × 2.458 m/s² × 100 s²

s = 122.9 m

The distance moved when the police car is driving at 55 mi/h is s' = 24.58 t where t = driving time after attaining 55 mi/h

The total distance moved by the police car is thus S = s + s' = 122.9 + 24.58t

The total distance moved by the speeder is S' = 40t' mi = (40 × 1609 m/3600 s)t' =  17.88t' m where t' = time taken for police to catch up with speeder.

Since both distances are the same,

S' = S

17.88t' = 122.9 + 24.58t

Also, the time  taken for the police car to catch up with the speeder, t' = time taken for car to accelerate to 55 mi/h + rest of time taken for police car to catch up with speed, t

t' = 10 + t

So, substituting t' into the equation, we have

17.88t' = 122.9 + 24.58t

17.88(10 + t) = 122.9 + 24.58t

178.8 + 17.88t = 122.9 + 24.58t

17.88t - 24.58t = 122.9 - 178.8

-6.7t = -55.9

t = -55.9/-6.7

t = 8.34 s

So, t' = 10 + t

t' = 10 + 8.34

t' = 18.34 s

So, it will take 18.34 s before the police car catches the speeder who continued traveling at 40 miles/hour

b. how far before the police car catches the speeder who continued traveling at 40 miles/hour

Since the distance moved by the police car also equals the distance moved by the speeder, how far the police car will move before he catches the speeder is given by S' = 17.88t' = 17.88 × 18.34 s = 327.92 m

4 0
2 years ago
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