25 because you do 19 squared plus 16 squared equals 617, you do 617 rooted. It’s called pythagorus.
Answer:
2
Step-by-step explanation:
To find the x-intercept using the straight-line equation, substitute y=0 and solve for x. To find the y-intercept, substitute x=0 and solve for y.
Answer:
n = 1500
Step-by-step explanation:
The sample size is the number of students that were asked
n = 1500
Answer:
The answer is rotation 270° about the origin
Step-by-step explanation:
If (x , y) is a point in xy-coordinates
If the point rotate about the origin ⇒ (The positive direction is anti-clockwise)
1- 90°
Its image is (-y , x)
2- 180°
Its image is (-x , -y)
3- 270°
Its image is (y , -x)
If we assume A is (1 , 7)
1- ⇒ (-7 , 1) ⇒ rotation 90° about the origin
2- ⇒ (-1 , -7) ⇒ rotation 180° about the origin
3- ⇒ (7 , -1) ⇒ rotation 270° about the origin
∵ x-coordinate of point A small and +ve and y-coordinate large and +ve
∵ x-coordinate of point A' large and +ve and y-coordinate small and -ve
∴ The answer is rotation 270° about the origin
∴ The answer is rotation 270° about the origin
Answer:
A
Step-by-step explanation:
Given
y - 2x - 8 = 0 ( add 2x + 8 to both sides )
y = 2x + 8 → (1)
y² + 8x = 0 → (2)
Substitute y = 2x + 8 into (2)
(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify
4x² + 32x + 64 + 8x = 0
4x² + 40x + 64 = 0 ( divide through by 4 )
x² + 10x + 16 = 0 ← in standard form
(x + 8)(x + 2) = 0 ← in factored form
x + 8 = 0 ⇒ x = - 8
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)
x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )
Calculate the length of PQ using the distance formula
PQ = 
with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )
PQ = 
= 
= 
= 
= 
= 
= 
× 
= 6 → A
