Answer:
She gained 5 points in overall
Step-by-step explanation:
Shana lost points for each wrong question = 2
So, She lost points for 5 wrong questions =
She lost points for 5 wrong questions = 10 points
Now, She gained points for each correct question = 5
So, She gained points for 3 correct questions =
She gained points for 3 correct questions =15
So, Overall gain = 15-10 = 5
She gained 5 points in overall
Hence the total number of points gained by her is 5 points
Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.
To determine the measure of angle C. You would solve the equation for X. X+47=180. X= 180-47. X= 133. The measure of angle C is 133 degrees.
X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
/ /
is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8
Answer:
(4x + 7) (4x - 7)
Step-by-step explanation:
16x^2 will be broken down to 4x and 4x since when you multiply them, it will equal 16x^2
Then -49 can be broken down to 7 & -7 since 7 x (-7) = -49