The lines mean that the number is going to become positive. |-178| will become positive meaning it will become= |178|
Solution:
There are four kinds of rigid transformations.
1. Reflection
2. Rotation
3. Translation
4. Dilation
1. The Meaning of term reflection is when we reflect something through a line or mirror the distance of object from line of reflection on both sides are same. The two images Preimage and image are congruent.
2. Rotation means rotating an object or geometrical shape through an angle. An angle can be of any measure that is 0,30°,45°,90°,...... In rotation the two , image and preimage are congruent.
3. While in translation , we shift something from a place to another place keeping the two images,that is image and preimage are congruent.
In all three,either in reflection, rotation,or translation there is no change in shape and size, the two that is image and Preimage are congruent.
Answer:
x-intercepts are (0, 0) and (-6, 0)
Step-by-step explanation:
equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-3, -18) into the equation:
y = a(x + 3)² - 18
If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:
0 = a(0 + 3)² - 18
⇒ 0 = a(3)² - 18
⇒ 0 = 9a - 18
⇒ 9a = 18
⇒ a = 2
Therefore, y = 2(x + 3)² - 18
To find the x-intercepts, set the equation to 0 and solve for x:
2(x + 3)² - 18 = 0
Add 18 to both sides: 2(x + 3)² = 18
Divide both sides by 2: (x + 3)² = 9
Square root both sides: x + 3 = ±3
Subtract 3 from both sides: x = ±3 - 3
so x = 3 - 3 = 0
and x = -3 - 3 = -6
So x-intercepts are (0, 0) and (-6, 0)
Answer:
area = 3.44 in²
Step-by-step explanation:
area of square = 4 x 4 = 16 cm²
area of circle = (3.14)(2²) = 12.56 cm²
area = 16 - 12.56 = 3.44 in²
<u>Step-by-step explanation:</u>
To prove:
Identities used:
......(1)
........(2)
.......(3)
Taking the LHS:
Using identity 1:
Using identities 2 and 3:
As, LHS = RHS
Hence proved
