<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.
Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For 
gallons of fuel distance traveled 
miles can be given as:
∝
where 
is constant of proportionality.
The vehicle covers 
miles on 
gallons.
So
Dividing both sides by 5.
∴ 
When 
gallons
miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
Answer:
25 girls
Step-by-step explanation:
Let
x denote number of boys
and
y denote number of girls
According to the statement that total 45 people came,
x+y = 45 => Eqn 1
And total paid amount was 175
So,
5x + 3y = 175 => Eqn 2
For solving, We will use the substitution method
So, from eqn 1
x = 45-y
Putting value of x in eqn 2
5(45-y) +3y = 175
225 - 5y + 3y = 175
-2y+225 = 175
-2y = 175-225
-2y = -50
2y = 50
y = 25
Putting y =25 in eqn 1
x+25 = 45
x = 45 - 25
x = 20
As y= 25
So, 25 girls came to the dance ..
We want to find the value of the 8 in 281,480,100
Let's find the place value of each of the numbers:
2 - hundred millions
8 - ten millions
1 - millions
4 - hundred thousands
8 - ten thousands
0 - thousands
1 - hundreds
0 - tens
0 - ones
I see there are two 8's so I wouldn't be too sure of which value to find, but just in case, we have the chart made above for place values.
There is one 8 at the ten millions value.
There is one 8 at the ten thousands value.
The answer is an intersect between both lines.
