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3 years ago

What is an example of a converse statement in geometry?

Mathematics

1 answer:

joja [24]3 years ago

6 0

Converse of "if it is raining then the grass is wet" is "if the grass is wet then it is raining."

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Expand the following: a) x(x + 6) b)x(5x - 1) c) 3x(6x + 5) d) 4x(2x - 3y)

-Dominant- [34]

Answer:

$a) x^2+6x\\b) 5x^2-x\\c) 18x^2+15x\\d) 8x^2-12xy$

Step-by-step explanation:

This problem utilizes the Distributive Property, which states

that a(x + y) = ax + ay.

Hope it helps :) and let me know if you want me to elaborate.

4 0

3 years ago

What is the area of a rectangular garden if it

Anna [14]

Answer:

50y2

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

39. State the equation for the line described below.

devlian [24]

Answer:

Step-by-step explanation:

39). y = $-\frac{7}{8}$ x + 3

40). m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

y - $y_{1}$ = m( x - $x_{1}$ )

(- 7, 5)

( - 12, 4)

m = ( 4 - 5 ) / ( - 12 + 7) = 1/5

y - 5 = (1/5)(x + 7) ⇒ y = $\frac{1}{5}$ x + 6.4

8 0

3 years ago

Ile kilogramów solanki 6-procentowej i ile kilogramów 9-procentowej należy zmieszać, aby otrzymać 9 kilogramów solanki 8-procent

viktelen [127]

Answer: solanka 6-procentowa=3 kg

solanka 9-procentowa = 6 kg

Step-by-step explanation:

Let solanka 6-procentowa=x kg

Let solanka 9-procentowa = y kg

So x+y=9

=> x=9-y (1)

6%=0.06 9%=0.09 8%=0.08

So pure salt is 0.06*x +0.09*y= 9*0.08 (2)

Lets put 9-y instead x in (2)

0.06*(9-y) +0.09*y=0.72

0.54-0.06*y +0.09*y=0.72

0.03*y=0.18

y=6kg => x=9-y => x=9-6=3 kg

6 0

4 years ago

PLZ EXPLAIN AND I'LL GIVE BRAINLY!!!!

Nonamiya [84]

Hello there!

Given the sequence:

$\displaystyle \large{ 1, - 3,9, - 27,...}$

The question reveals it to be geometric sequence since it has common ratio.

Geometric Sequence / Ratio Formula

$\displaystyle \large{r = \frac{a_{n + 1}}{a_n} }$

Define 'r' as common ratio.

First, let's check the common ratio by using the formula above.

Ratio Check

$\displaystyle \large{r = \frac{ - 3}{1} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ 9}{ - 3} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ - 27}{9} \longrightarrow - 3 }$

Therefore, the common ratio or r-value is -3.

To find the 7th term of sequence, you can by using the General Geometric Terms.

General Term of Geometric

$\displaystyle \large{a_n = a_1 {r}^{n - 1} }$

a1 is defined as the first term of sequence.

r is common ratio.

n is the term.

Since we want to find 7th term:

a1 = 1
r = -3
n = 7

$\displaystyle \large{a_7 =1{( - 3)}^{7 - 1} } \\ \displaystyle \large{a_7 =1{( - 3)}^{6} } \\ \displaystyle \large{a_7 =729 }$

Therefore, the 7th term of this sequence is 729.

Let me know if you have any questions!

Topic: Sequence and Series / Geometric Sequence

7 0

3 years ago