Answer:
4 : 7
Step-by-step explanation:
First, you can start by moving all the terms to one side:
14x^2 + 6xy - 8y^2 = 0
Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:
2(7x^2 + 3xy - 4y^2) = 0
In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:
2(7x^2 + 7xy - 4xy - 4y^2) = 0
Now, we can start to factor by grouping:
2( 7x[x + y] - 4y[x + y] ) = 0
And we can factor out [x + y]:
2(x + y)(7x - 4y) = 0
So, we can use the zero product property to get two equations:
x + y = 0
and
7x - 4y = 0
You get:
x = -y
and
7x = 4y
We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7
ANSWER:
C) -14
step-by-step explanation:
7y - 28 + 28 = 8y - 14 + 28
Answer with explanation:
We have to graph the Linear equation:
→ y-4 =x+2
⇒To draw a line you need two points that lies on the line.
→Point (-2,4) lies on the line,as
L HS→4-4=0
R HS → -2 +2=0
→From Point (-2,4) finding a point which is left 1 unit and down 3 units is equal to = (-2-1 ,4-3)
= (-3,1)
→And from Point (-2,4) finding a point which is left 3 unit and down 1 unit is equal to = (-2-3 ,4-1)
= (-5,3)
→None of the two points that is (-3,1) and (-5,3) lie on the linear function
which is, y-4 =x+2.
≡None of the option
Answer:
279.62 feet
Step-by-step explanation:
We have a rectangle with 5ft x 305ft sides representing the area between your device and the base of the courthouse.
In addition to this we have an angle of 42 °
The height would come being the length of the opposite side of this triangle.
We know that:
tan (° A) = opposite / adjacent
Adjacent side is 305 ft and ° A is 42 °
Solved for opposite:
Opposite = adjacent * tan (° A)
Opposite = 305 * tan (42) = 274.62 feet
We must add 5 feet to this result and we are left with:
274.62 + 5 = 279.62
It means that the height is 279.62 feet