Answer:
2.1
Step-by-step explanation:
Given :
3m-4.2 where, m=2.1
Now,
3(2.1)-4.2
6.3-4.2
2.1
Answer is 2.1
The system of equations represented by the graph is:
y = x - 6
y + x = -2
And the solution is (2, -4), then the correct option is the first one.
<h3>
What system is represented by the graph?</h3>
On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.
The line with a positive slope intercepts the y-axis at y = -6, then that line is:
y = a*x - 6
with a > 0.
The other line passes through the y-axis at y = -2, then the linear equation is:
y = b*x - 2
Where b < 0.
Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)
The only option that meets all the criteria is the first option:
y = x - 6
x + y = -2
And the solution is (2, -4)
Learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
Answer:
-0.9231
Step-by-step explanation:
Given cos theta = 0.3846 within the range 3π/2<theta<2π
Costheta = 0.3846
Theta = arccos(0.3846)
Theta = 67.38°
Since 67.38° didn't fall within the range of theta, we will locate our theta using the quadrant.
Since cos is positive in the 4th quadrant,
Theta = 360-67.38°
Theta = 292.62°
Sin(theta) = sin(292.62°)
= -0.9231
Answer:
Option A.
Step-by-step explanation:
we have
![x+\frac{b}{2a} =\pm\sqrt{\frac{b^2-4ac}{4a^2}}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7Bb%7D%7B2a%7D%20%3D%5Cpm%5Csqrt%7B%5Cfrac%7Bb%5E2-4ac%7D%7B4a%5E2%7D%7D)
Simplify the right side of the equation
we know that
![\pm\sqrt{\frac{b^2-4ac}{4a^2}}=\pm\frac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}=\pm\frac{\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cpm%5Csqrt%7B%5Cfrac%7Bb%5E2-4ac%7D%7B4a%5E2%7D%7D%3D%5Cpm%5Cfrac%7B%5Csqrt%7Bb%5E2-4ac%7D%7D%7B%5Csqrt%7B4a%5E2%7D%7D%3D%5Cpm%5Cfrac%7B%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
so
The expression is
![x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7Bb%7D%7B2a%7D%3D%5Cpm%5Cfrac%7B%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
therefore
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer:
98.4 feets
Step-by-step explanation:
To obtain BC
we could make use of B as angle, the apply the trigonometric relation :
Tan B =adjacent / hypotenus
Tan B = DB / BC
Tan 26 = 48 / BC
0.4877325 = 48 / BC
BC = 48 / 0.4877325
BC = 98.4 feets