Mathematics : asked on FireStorm6265

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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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

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

Step-by-step answer

P Answered by PhD

2

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

Check all of the ordered pairs that satisfy the equation below. y = 2/3x a. (21, 3/2) b. (7,14) c. (21,14) d.(28,42) e. (42,28) f. (14,21)

Step-by-step answer

P Answered by Specialist

15

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

Check all of the ordered pairs that satisfy the equation below. y = 2/3x a. (21, 3/2) b. (7,14) c. (21,14) d.(28,42) e. (42,28) f. (14,21)

Step-by-step answer

P Answered by Master

15

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

Check all of the ordered pairs that satisfy the equation below. A. (21, ) B. (7, 14) C. (21, 14) D. (42, 28) E. (14, 21) F. (28, 42)

Step-by-step answer

P Answered by PhD

what is the y-coordinate for A?

Step-by-step explanation:

Mathematics

Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through (4,8) and (7,14) Type the point-slope form of the equation of the line

Step-by-step answer

P Answered by PhD

Step-by-step explanation:

(14 - 8)/(7 - 4)= 6/3= 2

y - 8 = 2(x - 14)

y - 8 = 2x - 28

y = 2x - 20

Mathematics

find an equation of the circle that satisfies the given conditions. (give your answer in terms of x and y.) center (4, −5) and passes through (7, 4)

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

Determine the ordered pair that satisfies the equation, -5x + 3y = 7. a) (2 , -1) b) (-5 , 3) c) (7 , 14) d) (-2 ,−135)

Step-by-step answer

P Answered by PhD

2

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

Determine the ordered pair that satisfies the equation, -5x + 3y = 7. a) (2 , -1) b) (-5 , 3) c) (7 , 14) d) (-2 ,−135)

Step-by-step answer

P Answered by PhD

2

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

Which two points satisfy y = -x2 + 2x + 4 and x + y = 4? a. (0, 4) and (4, 0) b. (0, 4) and (3, 1) c. (7, -3) and (0, 4) d. (7, -3) and (4, 0)

Step-by-step answer

P Answered by PhD

7

Which two points satisfy y = -x2 + 2x + 4 and x + y = 4? a. (0, 4) and (4, 0) b. (0, 4) and (3, 1)

Mathematics

Select the correct answer. which two points satisfy y = -x^2 + 2x + 4 and x + y = 4? a. (0, 4) and (4, 0) b. (0, 4) and (3, 1) c. (7, -3) and (0, 4) d. (7, -3) and (4, 0)

Step-by-step answer

P Answered by PhD

8

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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