Answer:
Yes, It is a right triangle for the given vertices.
Step-by-step explanation:
Given:
Q(7, –10),
R(–3, 0),
S(9, –8)
To Find:
determine whether is a rig ht triangle for the given vertices = ?
Solution:
QR=
QR=
QR=
QR=
--------------------------(1)
QR=14.142136
RS=
RS=
RS=
RS=
---------------------------(2)
RS=14.422205
QS=
QS=
QS=
QS=
-------------------------------------(3)
QS=2.828427
According to Pythagorean Theorem,
Substituting the values,
208 = 208
Pythagorean theorem is satisfied. Hence it is a right triangle.
Answer:
The standard form of y = 3 x + 1 is -3x + y = 1 .
The standard form of y = 4x - 7 is -4x + y = -7.
Step-by-step explanation:
Here the given equation are:
y = 3 x + 1
and y = 4x - 7
The above equations are of the form: y = m x + C
Now, the STANDARD FORM of the equation is Ax + By = C
<u>Consider equation 1: </u>
y = 3 x + 1
or, y - 3x = 1
or. -3x + y = 1
⇒ The equation -3x + y = 1 is in STANDARD FORM.
<u>Consider equation 2: </u>
y = 4 x - 7
or, y - 4x = -7
or. -4x + y = -7
⇒ The equation -4x + y = -7 is in STANDARD FORM.
9 and 7 will do that job for you.
9 x 7 = 63
and
9 + 7 = 16
and
9 - 7 = 2 .
Answer: 8
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
The y-intercept is the point where the line passes the y-axis. In this instance, that is at the point (0, 3).
The roots are the x-intercepts are the points where the line crosses the x-axis. In this instance, the roots are x = -3 and x = -1.
The turning point is the vertex of the equation. In this instance, the vertex is on the point (-2, -1).
