<span>x² + y² + 14x − 4y − 28 = 0

x² +14x +y² - 4y =28
x²+2*7x +7² -7² + y² - 2*2y +2² - 2² = 28
(x+7)² + (y-2)² -7²-2² =28
</span>(x+7)² + (y-2)²=28+49+4

(x+7)² + (y-2)² =81 is the answer.

5 0

2 years ago

Read 2 more answers

Adult tickets to space amusement parkcost x dollars. Children's tickets cost y dollars. The henson family bought 3 aduly and 1 c

vesna_86 [32]

Answer:

3x + 1y = $163

2x + 3y =$174

Step-by-step explanation:

Adult tickets to space amusement park cost x dollars children’s tickets cost y dollars.

Henson family bought 3 adults and 1 child's tickets for $163

x + y = 163

3x + 1y = 163

The Garcia family bought 2 adults and 3 child’s ticket for $174.

x + y = $174

2x + 3y = $174

Therefore the equations representing both families cost are

Henson family

3x + 1y = $163

Garcia family

2x + 3y = $174

3 0

3 years ago

There are 3 people pulling on an object, the first person pulls with a force of 226 newtons at a direction of 145 degrees the se

Alona [7]

Answer:

$R=883.74N$

Step-by-step explanation:

From the question we are told that:

Force 1 $F_1=226N$

Force 2 $F_2=331N$

Force 3 $F_3=377N$

Direction 1 $\theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)$

Direction 2 $\theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)$

Direction 3 $\theta_3=77 degrees$

Generally Resolving forces to X axis is mathematically given by

$\sum f_x=337cos77+331cos57+226sin35$

$\sum f_x=351.596N$

Generally Resolving forces to Y axis is mathematically given by

$\sum f_y=337sin77+331sin57+226cos35$

$\sum f_x=810.788N$

Generally the equation for Resultant force R is mathematically given by

$R=\sqrt{\sum f_x^2+\sum f_x^2}$

$R=\sqrt{351.596^2+810.788^2}$

$R=883.74N$

7 0

2 years ago

Read each of the following situations and select ALL of the ones considered plagiarism.

mrs_skeptik [129]

Answer:

Ashley uses internal citation to give credit for someone else's idea

7 0

2 years ago