Triangles are congruent
so
4x + 1 = 13
4x = 12
x = 3
In case you need to find y
2x + y = 8x - 2y
2(3) + y = 8(3) - 2y
6 + y = 24 - 2y
3y = 18
y = 6
Answer:
Answer= 17.5 (B)
Step-by-step explanation:
This is tangent because TOA(opposite/adjacent)
On your calculator, do side length(25) sin angle(35)=17.5
Answer: 1:10,000
Step-by-step explanation:
given data:
distance of the nearest star system = 100,000,000
distance to size ration of the sun earth system = 10,000
therefore;
100,000,000 / 10,000
= 10,000
The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about 1:10,000 times that of the Sun-Earth system.
{\text{Direction of parabola depends on the sign of quadratic coefficient of a }} \hfill \\
{\text{quadratic equation}}. \hfill \\
{\text{For given quadratic equation}}. \hfill \\
a{x^2} + bx + c = 0 \hfill \\
{\text{The parabola is in the upward direction if }}a{\text{ }} > {\text{ }}0{\text{ and in downward direction if }}a < 0 \hfill \\
{\text{Here, the equation of given parabola is }} \hfill \\
{x^2} - 6x + 8 = y \hfill \\
\Rightarrow y = \left( {{x^2} - 6x + 9} \right) - 9 + 8 \hfill \\
\Rightarrow y = {\left( {x - 3} \right)^2} - 1. \hfill \\
{\text{Thus, the parabola is in the upward direction}} \hfill \\
