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andreyandreev [35.5K]

3 years ago

10

A moving company wants to buy a new type of truck and needs to know the volume of the storage compartment before they can decide

if they should purchase the truck. What is the volume of the storage compartment?

1 answer:

spayn [35]3 years ago

8 0

10ft, 18ft, 8ft, 2ft, 15ft.

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The image of the polygon ABCDE reflected across the x-axis. A(-1,-1),B(0,1),C(4,2),D(6,0),E(3,-3) The vertices of the image are.

4vir4ik [10]

A reflection across the x-axis has the rule:

(x,y)→(x,-y).

Then:

A(-1,-1)→A'(-1,1),
B(0,1)→B'(0,-1),
C(4,2)→C'(4,-2),
D(6,0)→D'(6,0),
E(3,-3)→E'(3,3).

Answer: the vertices of the image are A'(-1,1), B'(0,-1), C'(4,-2), D'(6,0) and E'(3,3).

6 0

3 years ago

Solve the system of equations 3y+2z=12 and y-z=9

muminat

Mulitply second equation by 2 and add to first

3y+2z=12
<u>2y-2z=18 +</u>
5y+0z=30

5y=30
divide 5
y=6

sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3

x=-3
y=6

4 0

3 years ago

In right angled triangle (not drawn to scale) measurment (in cm) of two sides are indicated in figure Find value of x in case. (

lisabon 2012 [21]

Answer:

5.29 units

Step-by-step explanation:

By Pythagoras theorem:

${6}^{2} + {x}^{2} = {8}^{2} \\ 36 + {x}^{2} = 64 \\ {x}^{2} = 64 - 36 \\ {x}^{2} = 28 \\ x = \sqrt{28} \\ x = 5.29150262 \: units \\ x \approx 5.29 \: units$

4 0

3 years ago

Equation of the line which passes through the points (8,4) and (-8,7)

FromTheMoon [43]

Step-by-step explanation:

y-7/4-7=x+8/8-8

-y+7/3=0

y=7

8 0

3 years ago

A checking account is set up with an initial balance of $4800, and $400 is removed from the account each month for rent (no othe

andrezito [222]

The equation would be the initial balance minus the monthly rent times the number of months equals $2000.

$4800-$400m=$2000

5 0

3 years ago