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2 years ago

Hello!! This question is really confusing so I would like some help, please!

Mathematics

1 answer:

erastovalidia [21]2 years ago

8 0

Answer:

$y=\frac{4}{7}x+3$

Step-by-step explanation:

The gradient of line A is

$\frac{-6-(-2)}{-7-0}=\frac{4}{7}$

Parallel lines have the same gradient, so m = 4/7.

Substituting the coordinates of P into y = mx + c,

$3=c \implies y=\frac{4}{7}x+3$

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I need help <br> 22 points to whoever helps me

Olenka [21]

Answer:

12 3/4 same slope fro both

13 DE = 5, CB = 10

14 see below

Step-by-step explanation:

12. the slopes are the same

D(0, 3) E(4, 6) slope is (change in y)/(change in x)

change in y = 3 to 6 is a change of +3

Change in x = 0 to 4 is a change of +4

slope is 3/4

13 To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)

DE² = 3² + 4²

DE² = 9 + 12

DE² = 25

√DE² = √25 = 5

DE = 5

and

CB² = 6² + 8²

CB² = 36 + 64

CB² = 100

√CB² = √100 = 10

CB = 10

14. since the slopes are the same are DE is 1/2 or CB its is the mid segment. because (taken from mathopenref.com/trianglemidsegment.html)

The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.

The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.

A triangle has three possible midsegments, depending on which pair of sides is initially joined.

6 0

3 years ago

Write the equation of this line in slope-intercept form. y=mx+b

pav-90 [236]

Answer:

Step-by-step explanation:

m=slope

b= y-intercept

4 0

3 years ago

Which graph represents the sequence: 1/2, 1, 2, 4, 8...?

Aleonysh [2.5K]

The graph represents the sequence is Option D.

<h3>Further explanation </h3>

A function defined in the set of natural numbers is called a sequence.

Allow $\boxed{a_n \ as \ n^{th} \ term}$ , or general term.

In a sequence, n should always represent a natural number, i.e.,

n > 0, n = 1, 2, 3, ...,

but the value of $\boxed{a_n}$ may be any real number depending on the formula for the general term of the sequence.

A sequence is considered geometric if the ratio between each consecutive term is common.

In our problem, the sequence is $\boxed{ \ \frac{1}{2}, 1, 2, 4, 8, ... \ }$

The ratio of each term $\boxed{a_{n+1}}$ to the previous term $\boxed{a_n}$ is equal 2, so we can formalize the sequence as

$\boxed{\frac{a_{n+1}}{a_n} =2}.$

The consecutive terms of the sequence have a common ratio r = 2, so this sequence is geometric.

The general term of a geometric sequence $\boxed{a_n}$ with common ratio r is $\boxed{\boxed{ \ a_n = a_1 \cdot r^{n-1} \ }}.$

Presently we go back to the question. The graph shows the horizontal axis as n and the vertical axis is the general term $\boxed{a_n}$ . The relationship between n, the terms, and the coordinates as written below:

$\boxed{n = 1 \rightarrow the \ 1st \ term \ a_1 = \frac{1}{2} \rightarrow \bigg( 1, \frac{1}{2} \bigg)}$

$\boxed{n = 2 \rightarrow the \ 2nd \ term \ a_2 = 1 \rightarrow (2, 1)}$

$\boxed{n = 3 \rightarrow the \ 3rd \ term \ a_3 = 2 \rightarrow (3, 2)}$

$\boxed{n = 4 \rightarrow the \ 4th \ term \ a_4 = 4 \rightarrow (4, 4)}$

$\boxed{n = 5 \rightarrow the \ 5th \ term \ a_5 = 8 \rightarrow (5, 8)}$

Therefore, the graph representing the sequence is Option D.

The general term of a geometric sequence is exponential.
From the common ratio (r > 1) and graph, the type is an increasing sequence.

<h3>Learn more </h3>

Combining two functions to create a geometric sequence brainly.com/question/1695742
A word problem about arithmetic and geometric sequences brainly.com/question/3395975
Drawing graph of the geometric sequence brainly.com/question/3166290

Keywords: which, the graph, geometric sequences, common ratio, general term formula, natural numbers, The consecutive terms, arithmetic