<h2>
Answer:</h2>
Option: A is the correct answer.
The ordered pair of point I' are:
A) (-0.8,2.4)
<h2>
Step-by-step explanation:</h2>
We know than if any point A with vertices as (a,b) are dilated by a scale factor of k then the vertices of the transformed point is:
A(a,b) → A'(ka,kb)
We are given vertices of point I as:
I(-2,6)
Hence, the vertices of the transformed point I' after dilating by a scale factor of 2/5 is:
I(-2,6) → I'(-2×(2/5),6×(2/5))
⇒ I(-2,6) → I'(-0.8,2.4)
Hence, option: A is the answer.
A) (-0.8,2.4)
Answer:
The length is 600 ft
Step-by-step explanation:
We can use the Pythagorean theorem since we know the diagonal which is the hypotenuse and the width
a^2 + b^2 = c^2
450 ^2 + b^2 = 750^2
b^2 = 750^2 - 450^2
b^2 =562500-202500
b^2 =360000
Taking the square root of each side
sqrt(b^2) = sqrt(360000)
b =600
Answer:
Step-by-step explanation:
<u>Coordinates of the points C and D:</u>
The point E has coordinates of (x, y).
The point E is at 3/4 of CD from C and 1/4 of CD from the point D.
<u>Find coordinates of E:</u>
- x = -3 + 1/4(1 + 3) = -3 + 1 = -2
- y = -4 + 1/4(6 + 4) = -4 + 2.5 = -1.5
Answer:
D. (1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
5x - 2y = 9
3x + 4y = -5
<u>Step 2: Rewrite systems</u>
10x - 4y = 18
3x + 4y = -5
<u>Step 3: Solve for </u><em><u>x</u></em>
- Add to equations together: 13x = 13
- Divide 13 on both sides: x = 1
<u>Step 4: Solve for </u><em><u>y</u></em>
- Define: 3x + 4y = -5
- Substitute in <em>x</em>: 3(1) + 4y = -5
- Multiply: 3 + 4y = -5
- Isolate <em>y </em>term: 4y = -8
- Isolate <em>y</em>: y = -2
And we have our final answer!
