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3 years ago

How to construct a right scalene triangle using no given lengths with a ruler and a compass

1 answer:

5 0

A scalene triangle contains three unequal in length sides. Therefore, a right scalene triangle can be constructed without the use of a ruler or compass. The 90-degree angle can be signified by a small box in the corner of the triangle that measures 90 degrees.

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What is the answer to 22

Ad libitum [116K]

To find the transformation of a function, we need to know the basic parameters in the transformation, namely, a, h and k.

For a transformation from f(x) to g(x), given by

g(x)=a*f(x-h)+k

h = horizontal translation (to the right)

k=vertical translation (upwards)

For a>0,

0<a<1 = a vertical shrink by a scale factor of a.

a=1 no vertical stretch nor shrink

1<a = vertical stretch by a scale factor of a.

a<0 implies a reflection about the x-axis PLUS the same stretch/shrink as described above replacing a by |a|.

For the given case

g(x)=-2log(x-1) where f(x)=log(x), then

g(x)=(-2) log (x-1) +0

implying that a=-2, h=1, k=0

meaning there is a reflection about the x-axis, with a vertical stretch factor of |a|=|-2|=2, a horizontal translation to the right of h=1 and a vertical translation of k=0. This are the three transformations that you can select from the given list, neglecting k=0 which means no vertical translation.

4 0

3 years ago

Seven-tenths as a decimal

asambeis [7]

.7 is the answer or .70 :D

7 0

3 years ago

Read 2 more answers

Direct variation worksheet

vaieri [72.5K]

Answer:

Part 4) k=1/2

Part 5) k=-2/3

Part 6) y=32

Part 7) x=6

Part 8) v=99

Part 9)b=6

Part 10) y=6

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Part 4) Find the value of the constant of proportionality k

we have

$y=\frac{1}{2}x$

Remember that the value of k is the same that the value of the slope

$m=\frac{1}{2}$

$k=\frac{1}{2}$

Part 5) Find the value of the constant of proportionality k

we have

$y=-\frac{2}{3}x$

Remember that the value of k is the same that the value of the slope

$m=-\frac{2}{3}$

$k=-\frac{2}{3}$

Part 6) Suppose that y varies directly with x, and y=16 when x=8. Find y when x=16

step 1

Find the value of the constant of proportionality k

$k=y/x$

$k=16/8=2$

step 2

Find the equation of the direct variation

$y=kx$

substitute the value of k

$y=2x$

step 3

Find y when x=16

$y=2(16)=32$

Part 7) Suppose that y varies directly with x, and y=21 when x=3. Find x when y=42

step 1

Find the value of the constant of proportionality k

$k=y/x$

$k=21/3=7$

step 2

Find the equation of the direct variation

$y=kx$

substitute the value of k

$y=7x$

step 3

Find x when y=42

$42=7x$

solve for x

$x=42/7$

$x=6$

Part 8) Suppose that v varies directly with g, and v=36 when g=4. Find v when g=11

step 1

Find the value of the constant of proportionality k

$k=v/g$

$k=36/4=9$

step 2

Find the equation of the direct variation

$v=kg$

substitute the value of k

$v=9g$

step 3

Find v when g=11

$v=9(11)=99$

Part 9) Suppose that a varies directly with a, and a=7 when b=2. Find b when a=21

step 1

Find the value of the constant of proportionality k

$k=a/b$

$k=7/2=3.5$

step 2

Find the equation of the direct variation

$a=kb$

substitute the value of k

$a=3.5b$

step 3

Find b when a=21

$21=3.5b$

solve for b

$b=21/3.5$

$b=6$

Part 10) Suppose that y varies directly with x, and y=9 when x=3/2. Find y when x=1

step 1

Find the value of the constant of proportionality k

$k=y/x$

$k=9/(3/2)=6$

step 2

Find the equation of the direct variation

$y=kx$

substitute the value of k

$y=6x$

step 3

Find y when x=1

$y=6(1)=6$

6 0

4 years ago

How can I find the volume of L shape blocks

Anvisha [2.4K]

The formula for volume is length multiplied by width multiplied by height
I hope this helps sorry if it doesn't :)

8 0

4 years ago

Which best describes the solution to 4-7

tigry1 [53]

Answer:

-3.

Step-by-step explanation:

It will be a negative number because you're taking 7 away from 4. You can do 7-4 and it will equal 3, but you flip it, and it will be -3.

5 0

3 years ago

Read 2 more answers