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3 years ago

Which figure always has exactly one line of symmetry?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

4 0

Trapezoid only has one because sides are slanted

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Which formula can be used to describe the sequence?

mafiozo [28]

Answer:

The formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

Step-by-step explanation:

Given : sequence -4, −24, −144,...

We have to find the formula that can be used to describe the given sequence -4, −24, −144,...

A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.

Written as a, ar , ar², ar³., ....

and general term is calculated as $a_n=ar^{n-1}$

Where a is first term and r is common ratio.

Consider the given sequence -4, −24, −144,...

We find the common ratio ,

$a=-4, \\\\ar=-24,\\\\\ ar^2=-144$

Thus, common ratio is given as $r=\frac{ar}{r}=\frac{-24}{-4}=6$

Thus, the given sequence is a geometric sequence.

The general term is given by $a_n=ar^{n-1}$

Put a = -4 , r = 6

We have

$a_n=-4(6)^{n-1}$

Thus, the formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

5 0

3 years ago

Read 2 more answers

Given the rectangular solid, RS = 6, ST = 3, and SL = 4. Solve for KT.

katrin [286]

First thing is that you need to find the diagonal of the rectangle

but remember is it a horizontal rectangle.

So let's start it :)

d= √6²+3²

d= √36+9

d= √54

d= 6.7082

But wait.. we are not done yet

We need to solve KT

we have 6.7082 which is the base and we have SL=4 which is the height

so with this 2 information we can find KT

KT is the hypotenuse because when you draw the line from K to T you'll see that it is the longest line.

Use the hypotenuse formula which is

C = √a²+b²

Now replace C by KT since we are solving for KT instead of C. Got it ?:)

KT= √6.7080²+4²

KT= 7.81

I do it with decimals so it might be little bit confusing to you but I think you can solve that different ways :)

Well I hope that's help and if not I am so sorry.

7 0

3 years ago

Read 2 more answers

Caroline has 12 cherries and 13 strawberries. What percentage are the cherries?

Tasya [4]

Answer:

12/25=48%

Step-by-step explanation:

total=denominator=12+13=25

numerator=no of cherries=12

12/25=x/100

1200=25x

x=48%

6 0

3 years ago

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

sergeinik [125]

If they are parallel then the coefficients of x and y will remain the same. Only the constant will change.

2x + 3y = ?
2(-2) +3(3) = -4 + 9 = 5 so ? is 5

ANSWER: 2x + 3y = 5

6 0

3 years ago

Which of the following could be the equation for a parabola that opens to the left with vertex (-17,2)?

Sholpan [36]

A sideways opening parabola is in the form $x= y^{2}$ , so we know from the process of elimination that it will either be b or c. Next we have to realize that if the parabola opens to the left it is a negative parabola, just like if a parabola opens upside down it is a negative parabola. So the one that has the negative out front is b.

3 0

4 years ago

Read 2 more answers