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3 years ago

Write three equations whose graphs are the same line as the equation 3x+2y=7.

1 answer:

3 0

Consider this option:
1. rule: the equation will be the same if the both its parts are multiplied by one number ('0' is not included!).
2. using the rule, described upon:
-3x-2y=-7 (*(-1));
6x+4y=14 (*2);
-6x-4y=-14 (*(-2)).

Note, that not all the ways are described.

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Find the surface area of the prism. Please help this is over due

meriva

Answer:

171.125

Step-by-step explanation:

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3 years ago

The length of the arc intercepted by a central angle of 3/9 pie is 3.6 feet long. How long is the radius of the circle?

gtnhenbr [62]

Answer:

B) 3.44 feet

The Radius of the circle 'r' = 3.439 ≅3.44 feet

Step-by-step explanation

Step(i):-

Given data the length of arc = 3.6 feet long

l = 3.6 feet

Given central angle 'θ' = $\frac{3}{9} \pi$

Step(ii):-

The arc length 'l' of a circle of radius 'r' with central angle 'θ' radians is given by

Arc length l = r θ

3.6 = r ( $\frac{3}{9} \pi$ )

put π = 3.14

now simplification, we get

$r = \frac{3.6 X9}{3\pi }$

$r = \frac{3.6 X9}{3X3.14 } = \frac{32.4}{9.42} = 3.439$

Conclusion:-

The Radius of the circle 'r' = 3.439 ≅3.44 feet

8 0

2 years ago

A person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to hig

vladimir2022 [97]

Answer: The minimum score a person must have to qualify for the society = 147.4

Step-by-step explanation:

Let X be the test scores.

As per given,

X is normally distributed.

Mean $(\mu) = 110$

$\sigma=5$

$$$\begin{array}{l}\quad P(z>2)=0.07 \\\therefore \quad 1-P(z$

The minimum score a person must have to qualify for the society = 147.4

4 0

3 years ago

A sporting goods company can ship

cricket20 [7]

Answer:

12.5

Step-by-step explanation:

75 ÷ 6

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2 years ago

2x + y - z = 15 4x - 3y + 7z = -11 X + y + z = 2 solve the system of equations

Anika [276]

Answer:

The given system of equations is :

2x + 3y + 5z = 1 -> eq. (1)

3x + 2y + z = 5 -> eq. (2)

Multiplying eq. (1) with 3 and eq. (2) with 2, we get :

6x + 9y + 15z = 3 -> eq. (3)

and, 6x + 4y + 2z = 10 -> eq. (4)

respectively.

Subtracting eq. (4) from eq. (3) :

5y + 13z = -7 -> eq. (5)

Multiplying eq. (1) with 2 and eq. (2) with 3, we get :

4x + 6y + 10z = 2 -> eq. (6)

and, 9x + 6y + 3z = 15 -> eq. (7)

respectively.

Subtracting eq. (7) from eq. (6) :

-5x + 7z = -13 -> eq. (8)

Let z = t, where t is a parameter.

We can write eq. (5) and eq. (8) as :

5y + 13t = -7 & -5x + 7t = -13

i.e., 5y = -7 - 13t & 5x = 13 + 7t

y = -(7/5) - (13t/5) & x = (13/5) + (7t/5)

Therefore, the solution for the given system of equations is :

x = (13/5) + (7t/5)

y = -(7/5) - (13t/5)

z = t

where, t can take any value.

Step-by-step explanation:

3 0

2 years ago