A prism has two parallel, congruent bases. The

Mathematics

1 answer:

SashulF [63]4 years ago

6 0

Answer:

rectangle

Step-by-step explanation:

the base shape is the shape that's shown at the bottom of the shape. you can picture rotating the prism and once you turn it around, you'll find the bottom shape as a rectangle.

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Simplify each expression.<br><br>e^ln 1 =<br><br>e^ln 5x=

valentina_108 [34]

Answer:

e^ln 1 = 1

e^ln 5x = 5x ,where x > 0

8 0

3 years ago

1. a.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reve

bagirrra123 [75]

X=the units digit
y=the tens digit.
The number is: 10y + x
The reversed number is: 10x+y
The units digit is twice the tens digit, then: x=2y
a)we suggest this system of equations:

x=2y
2(10y+x)=12+(10x+y)

We can solve this system of equations by substitution method:
2(10y+2y)=12+[10(2y)+y]
2(12y)=12+21y
24y=12+21y
24y-21y=12
3y=12
y=12/3
y=4

x=2y
x=2(4)=8

The number is: 10y+x=10*4+8=48

Answer: the number is 48.

b)
the number is: 10x+y
we can suggest this system of equations:

8(x+y)=(10x+y)+19
x=y-2

We can solve this system of equations by substitution method.
8(y-2+y)=[10(y-2)+y]+19
8(2y-2)=11y-20+19
16y-16=11y-1
16y-11y=-1+16
5y=15
y=15/5
y=3

x=y-2
x=3-2=1

The number is: 10x+y=10*1+3=13

Answer:the number is 13.

c)
The number is: 10x+y
The number reversed is: 10y+x
we can suggest this system of equations:

y=2x
2(10x+y)=9+(10y+x)

We solve this system of equations by substitution method:
2(10x+2x)=9+[10(2x)+x]
2(12x)=9+21x
24x=9+21x
24x-21x=9
3x=9
x=9/3
x=3

y=2x
y=2*3=6

The number is: 10x+y=10*3+6=36

Answer: the number is 36

6 0

3 years ago

Find an equation for the perpendicular bisector of the line segment whose end points are (-9,-8) and (3,-2)

Sunny_sXe [5.5K]

Answer:

$y=-2x-11$

Step-by-step explanation:

Slope of the line segment = [(-8)-(-2)]/[(-9)-3]=-6/-12=1/2

Slope of the perpendicular bisector x slope of line segment = -1

Slope of perpendicular bisector = -2

Mid-point of line segment = ((-9+3)/2, (-8+(-2))/2) = (-3, -5)

The perpendicular bisector passes through the mid-point.

By point-slope form,

$\frac{y-(-5)}{x-(-3)} = -2\\y+5=-2x-6\\y=-2x-11$

4 0

3 years ago

Unit 1 topic 4 geometry

Phantasy [73]

Since this is an isosceles triangle (indicated by the two tick marks on the sides), we know that the base angles are congruent, and we therefore know that x = 30 degrees.

Since interior angles of a triangle always add to equal 180 degrees, we can find y using the following equation:

180 = 30 + 30 + y
180 = 60 + y
120 = y

We can further deduce that z also equals 24, since, as stated before, the two sides with the tick marks are congruent.

Answer:
x = 30 degrees
y = 120 degrees
z = 24

4 0

4 years ago

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to t

yanalaym [24]

Answer:

Option C.

Step-by-step explanation:

A dashed straight line has a negative slope and goes through (0, 2) and (4, 0).

The given inequality is

$y$