Answer:
All the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.
To find - Which answer choice correctly maps this dilation algebraically?
Proof -
Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.
Now,
Let the coordinates be (x, y)
If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as
(x, y) ⇒ (ax, ay)
Here given , a = 2
So, all the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Answer:
13r²(2rs + 4r³ - 3s⁴)
Step-by-step explanation:
In equation 26r³s + 52r⁵ - 39r²s⁴;
The GCF of 26, 52, and 39 = 13
The GCF of r³, r⁵ and r² = r²
The GCF of s, (no "s"), and s⁴ = no "s" (Since one of the number doesn't have "s")
Now we can factor out 13r² from all three expressions;
26r³s + 52r⁵ - 39r²s⁴
=> <em>13r²(2rs) + 13r²(4r³) - 13r²(3s⁴)</em>
To factor it all together;
<u>13r²(2rs + 4r³ - 3s⁴)</u>
Hope this helps!
Answer:
Step-by-step explanation:
10y2 - 17y + 12 = y + 16
10y2 - 17y + 12 - 16 = y
10y2 - 17y - 4 = y
10y2 -17y - y -4 = 0
10y2 -16y - 4 = 0
Now put formula
x = -b +- (square root) b2 - 4ac
2a
a = 10 b= -16 c= -4
y = -(-16) +- (square root) -16 - 4 (10) (-4)
2(10)
y = 16 +- (square root) -16 - 400
20
y = 16 +- (square root) -416
20
y = 16 +- 20.396
20
Now this +- is the plus minus thingy in which two answers come
The first we will do is +
16 + 20.396 16 - 20.396
20 20
= 1.8198 = -0.2198
