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lisov135 [29]
2 years ago
12

Mr. Munoz gave his students the following expression to simplify as their exit ticket for class one day.

Mathematics
1 answer:
KatRina [158]2 years ago
4 0

Answer:

d

Step-by-step explanation:

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hree vertices of a rectangle are given. Find the coordinates of the fourth vertex. (–2, 4), (4, 0), (2, –3)
zhannawk [14.2K]
V1=(-2,4)=(x1,y1)→x1=-2, y1=4
V2=(4,0)=(x2,y2)→x2=4, y2=0
V3=(2,-3)=(x3,y3)→x3=2, y3=-3
V4=(x4,y4)→x4=?, y4=?

V1-V2
dx=x2-x1=4-(-2)=4+2→dx=6
dy=y2-y1=0-4→dy=-4

V4-V3
dx=x3-x4→6=2-x4
Solving for x4:
6=2-x4→6-2=2-x4-2→4=-x4→(-1)(4=-x4)→-4=x4→x4=-4

dy=y3-y4→-4=-3-y4
Solving for y4:
-4=-3-y4→-4+3=-3-y4+3→-1=-y4→(-1)(-1=-y4)→1=y4→y4=1

V4=(x4, y4)→V4=(-4, 1)

Answer: The coordinates of the fourth vertex are (-4,1)

5 0
3 years ago
Hi:) I need help with 11(a) , thanks!:))
Irina-Kira [14]

Answer:

18.95

Step-by-step explanation:

ln 2 x ln (4x) = 3

ln 4x = = 3 / ln 2

ln4x =  3 / 0.69315 = 4.3281

4x = e^4.328 = 75.80

x =  18.95.

7 0
3 years ago
a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packag
Igoryamba

Answer:

The answer is below

Step-by-step explanation:

a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?​

Solution:

Let the width of the box be x cm.

The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40

The height of the box = 12 cm

The volume of the box can be gotten from the formula:

Volume = length × width × height

Substituting:

Volume = (x + 40) × (x) × 12

Volume = 12x(x + 40)

Therefore the volume of the new box is 12x(x + 40)

8 0
2 years ago
Find all the real square roots of -196.
Slav-nsk [51]
The answer is <span>-(3/4) and 3/4</span>
6 0
2 years ago
Find the area of a triangle with a base of 10 inches and a height of 5 inches
Semmy [17]

Answer:

area = 25 in^2

Step-by-step explanation:

area = 1/2(10)(5) = 25 in^2

5 0
3 years ago
Read 2 more answers
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