Given (-4,9) (-8,9),(-9,7,(-9,4)
...
To Find : plot the point and draw quadrilateral
Solution:
(-4,9)
go 4 left of origin and then go 9 up
(-8,9)
go 8 left of origin and then go 8 up
(-9,7)
go 9 left of origin and then go 7 up
(-9,4)
go 9 left of origin and then go join (-4,9) with (-8,9) and (-9,4) 4 up
join (-9,7) with (-8,9) and (-9,4)
Quadrilateral is constructed
Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
Answer:
$5.82
Step-by-step explanation:
Answer:
20.7%
Step-by-step explanation:
Amount of stock increased in Company A = 20% of 1790
= 0.20 * 1790 = $ 358
Investor's stock in company A this year = 1790 + 358 = $ 2148
Amount of stock increased in Company B = 22% of 1000
= 0.22 * 1000= $ 220
Investor's stock in company B this year = 1000 + 220 = $ 1220
Total amount in investor's stock account = 2148 + 1220 = $ 3368
Increased amount = 3368 - 2790 = $ 578
Increase percentage =
= 20.71
= 20.7%
5/7 +1/3
find the common denominator for both of the fractions
common denominator is 21
mutiply by 3 for 5/7
(5)(3)/(7/(3)= 15/21
mutiply by 7 for 1/3
(1)(7)/(3)(7)= 7/21
15/21+7/21
add the numerators
15+7= 22
denominator stays the same -21
Answer:
22/21 or 1 1/21