Answer:
TRUE
The 7 is in the hundredths place
The 0 is in the tenths place
The 8 is in the thousandths place
Step-by-step explanation:
Answer:
For the first one:
D) The perpendicular bisector of line MN
For the second one:
You need a protractor (angle ruler) to measure the angle. After finding the measurement, divide it into two. After finding the result, find the point that has that angle.
Example -
The pie measures 120°.
120° ÷ 2 = 60°
Find the point that measures 60° and connect the points (from the start to the edge of the pie).
For the third one:
C) m∠ABD ≅ m∠CBD
Answer:
![\displaystyle d = 2\sqrt{13}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%202%5Csqrt%7B13%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:
![\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (11, 4) → x₁ = 11, y₁ = 4
Point (5, 8) → x₂ = 5, y₂ = 8
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
![\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B%285-11%29%5E2%2B%288-4%29%5E2%7D)
- [√Radical] (Parenthesis) Subtract:
![\displaystyle d = \sqrt{(-6)^2+(4)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B%28-6%29%5E2%2B%284%29%5E2%7D)
- [√Radical] Evaluate exponents:
![\displaystyle d = \sqrt{36+16}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B36%2B16%7D)
- [√Radical] Add:
![\displaystyle d = \sqrt{52}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B52%7D)
- [√Radical] Simplify:
![\displaystyle d = 2\sqrt{13}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%202%5Csqrt%7B13%7D)
Answer:
Solution given:
1:
-1/8=![\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%C2%B3%7D%7B2%C2%B3%7D%3D%28%5Cfrac%7B-1%C2%B3%7D%7B2%C2%B3%7D%3D-1%C2%B3%2A2%5E%7B-3%7D%3D-2%5E%7B-3%7D)
2. -64/27
=![\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%5E%7B3%7D%7D%7B3%C2%B3%7D%3D%5Cfrac%7B-4%C2%B3%7D%7B3%C2%B3%7D%3D%28%5Cfrac%7B-4%7D%7B3%7D%29%5E%7B3%7D)
Express in rational number
1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4
2. (1/5)=1/5*5/5=<u>5/25</u>
and
(-4/3)³(2/5)-⁴ ÷ (7/4)
(-4³/3³)(2-⁴/5-⁴)÷7/4
(-64/27)(5⁴/2⁴)÷7/4
(-64/27)(625/16)÷7/4
(-64*625/(27*16))*4/7
-2500/27*4/7
-10000/169
(-100/13)²
Answer:
Dilation
Step-by-step explanation:
A dilation changes the size of a figure by enlarging the figure of making the figure smaller. The sides will be proportional and the angles will be congruent making the figures similar.