Answer:
False,
(-4, -1) is not a solution of the given system of equations
Step-by-step explanation:
Given the system of equations:
.......[1]
......[2]
To determine (-4, -1) is a solution
Substitute x = -4 and y = -1 in both the equations, if they both satisfied then it is a solution.
⇒
⇒
False.
⇒
⇒
True.
Since, the given statement is not true
because the ordered pair (-4, -1) does not satisfy the given system of equations.
Answer:
x = 2√2
Step-by-step explanation:
Since the triangle is isosceles, it means 2 of the angles are equal and 2 of the sides are also equal.
Now, since we see that it is also a right angled triangle, it means one angle is 90°.
Let the equal angles be a.
Thus;
a + a + 90 = 180 (since sum of angles in a triangle is 180)
2a + 90 = 180
2a = 180 - 90
2a = 90
a = 90/2
a = 45°
Now, using sine rule, we can find x. Thus;
x/sin 45 = 4/sin 90
sin 90 = 1
sin 45 = 1/√2
Thus;
x = (4 × 1/√2)/1
x = 4/√2
Let's rationalize the denominator to get;
x = (4/√2) × √2/√2
x = (4√2)/2
x = 2√2
The equation of the line through (-9, -7) and (-6, -3) is 
<u>Solution:</u>
Given, two points are (-9, -7) and (-6, -3)
We have to find that a line that passes through the given two points.
First let us find the slope of the line that passes through given two points.
The slope of the line "m" is given as:
So slope of our line 
Now, let us find the line equation using point slope form:
By substituting the values we get,
Hence, the line equation is
Given that the angle measure 20 and the side opposite to that angle measures 10 cm, suppose this is the height of the triangle, the hypotenuse
Such that
sin theta=opposite/hypotenuse
opposite=a=10 cm
sin 20=10/h
multiplying both sides by h we get
hsin20=10
hence;
h=10/sin20
h=29.24 cm
h=29.2 cm
Answer:
38/3 km per hour
Step-by-step explanation:
3 1/6=19/6
1/4=0.25
(19/6)*4=38/3
