The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035
Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .
<u>According</u><u> to</u><u> question</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> x</u><u> </u><u>is </u><u>6</u><u>3</u><u>°</u><u> </u><u>.</u>
Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;
Therefore;
Which gives;
Similarly, given that EF is parallel to AB, we get;
Therefore;
Which gives;
Therefore, the statement that can be proved using the given theorem is segment BF = 16.
Answer:
B.(x-6)
Step-by-step explanation:
12/(x^2 - 11x+30) - 43/(x^2-6x)
12/((x - 5) (x - 6)) - 43/x(x-6) [Factoring the denominator]
Both have x-6 common in the denominator,
B=8. A^2+B^2=C^2. This means 6to the second power plus B to the second power equals10 to the second power. 36+b^2=100. B to the second power equals 64. Square root of 64 is 8, so B equals 8