01.12.2022

Does the point (7, 4) satisfy the equation y = x − 3?

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24.06.2023, solved by verified expert
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2 students found this answer . helpful

Yes.

Step-by-step explanation:

If we wrote the equation down

7=4-(-3)

Then, we do keep, change, change

7 = 4+3

Y = 7

The equation is true, so that means the points are.

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Mathematics
Step-by-step answer
P Answered by PhD

Yes.

Step-by-step explanation:

If we wrote the equation down

7=4-(-3)

Then, we do keep, change, change

7 = 4+3

Y = 7

The equation is true, so that means the points are.

Mathematics
Step-by-step answer
P Answered by Specialist
A. 21*(2/3) = 14 > not 3/2 (X
B. 7*(2/3) = 14/3 > not 14 (X
C. 21*(2/3) = 14 > equal 14 (O
D. 28*(2/3) = 56/4 -> not 42 (X
E. 42*(2/3) = 28 > equal 28 (O
F. 14*(2/3) = 28/3 --> not 21 (X

so the answer is C and E
Mathematics
Step-by-step answer
P Answered by Master
A. 21*(2/3) = 14 > not 3/2 (X
B. 7*(2/3) = 14/3 > not 14 (X
C. 21*(2/3) = 14 > equal 14 (O
D. 28*(2/3) = 56/4 -> not 42 (X
E. 42*(2/3) = 28 > equal 28 (O
F. 14*(2/3) = 28/3 --> not 21 (X

so the answer is C and E
Mathematics
Step-by-step answer
P Answered by PhD

what is the y-coordinate for A?

Step-by-step explanation:

Mathematics
Step-by-step answer
P Answered by Specialist

(x-4)^2+(y+5)^2=90

Step-by-step explanation:

The equation of a circle of radius r, centered at the point (a,b) is

(x-a)^2+(y-b)^2=r^2

We already know the center is at (4,-5), we are just missing the radius. To find the radius, we can use the fact that the circle passes through the point (7,4), and so the radius is just the distance from the center to this point (see attached image). So we find the distance by using distance formula between the points (7,4) and (4,-5):

radius=\sqrt{(7-4)^2+(4-(-5))^2}=\sqrt{3^2+9^2}=\sqrt{90}

And now that we know the radius, we can write the equation of the circle:

(x-4)^2+(y-(-5))^2=\sqrt{90}^2

(x-4)^2+(y+5)^2=90


find an equation of the circle that satisfies the given conditions. (give your answer in terms of x
Mathematics
Step-by-step answer
P Answered by PhD

C) (7 , 14)

Step-by-step explanation:

Substitute each ordered pair into the equation

-5x + 3y = 7.

A) (2 , -1)

-5(2) +3(1) = -10 +3 = -7  this does not equal 7  so not true

B) (-5 , 3)

-5(-5) +3(3) = 25 +9 = 34  this does not equal 7 so not true

C) (7 , 14)

-5(7) + 3(14) = -35 + 42 = 7  this equals 7 so true

D) (-2 ,−135)

-5(-2) + 3(-135) =10+405 =415  this does not equal 7 so not true

Mathematics
Step-by-step answer
P Answered by PhD

C) (7 , 14)

Step-by-step explanation:

Substitute each ordered pair into the equation

-5x + 3y = 7.

A) (2 , -1)

-5(2) +3(1) = -10 +3 = -7  this does not equal 7  so not true

B) (-5 , 3)

-5(-5) +3(3) = 25 +9 = 34  this does not equal 7 so not true

C) (7 , 14)

-5(7) + 3(14) = -35 + 42 = 7  this equals 7 so true

D) (-2 ,−135)

-5(-2) + 3(-135) =10+405 =415  this does not equal 7 so not true

Mathematics
Step-by-step answer
P Answered by PhD

B. \displaystyle (0, 4)\:and\:(3, 1)

Step-by-step explanation:

\displaystyle 1 = -3^2 + 2[3] + 4 → 1 = -9 + 6 + 4 → 1 = 1

\displaystyle 3 + 1 = 4

\displaystyle 4 = 0^2 + 2[0] + 4 → 4 = 4

\displaystyle 0 + 4 = 4

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