Answer:
the vertex is ( 3 , 3)
Symetric axis‘s equation: x = 3
Step-by-step explanation:
Let‘s name the function ” f ”
f(x) = y = 2x² - 12x + 21
the vertex has coordinates of ( -b/2a , f(-b/2a) )
-b/2a = 12/2(2) = 12/4 = 3
f(-b/2a) = f(3) = 2(3)² - 12(3) + 21 = 3
then the vertex is ( 3 , 3)
the symetric axis has the equation :
x = -b/2a
then
Answer:1.2675x10^37
Step-by-step explanation:
3.9x10^33 x 3.25x10^3
3.9x3.25x10^33x10^3
12.675x10^(33+3)
12.675x10^36
1.2675x10^1x10^36
1.2675x10^(1+36)
1.2675x10^37
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get
Now in Δ PQT and Δ QRS we have
Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
Answer:
Rectangle
Step-by-step explanation:
Note the definition of a rectangle. All angles must be 90°, and opposite sides are parallel and congruent.
It says that Andre "drew a quadrilateral with <em>four right angles and two pairs of congruent sides</em>.", making rectangle a candidate as an answer.
~
Answer:
The park ranger bought 2 redwood trees and 10 spruce trees.
Step-by-step explanation:
24 * 2 = 48
208 - 48 = 160
160 / 16 = 10
