All categories

3 years ago

Which equation represents a line that passes through the two points in the table?

Mathematics

1 answer:

Sveta_85 [38]3 years ago

3 0

Answer:

$\large\boxed{A.\ y-3=\dfrac{2}{3}(x-3)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (3, 3) and (6, 5).

Substitute:

$m=\dfrac{5-3}{6-3}=\dfrac{2}{3}$

Take the point (3, 3):

$y-3=\dfrac{2}{3}(x-3)$

You might be interested in

What is the midpoint of a segment in the complex plane with endpoints at 6 – 2i and –4 + 6i?

igomit [66]

1+2i

to find the midpoint you do it just like you did with rectangular coordinates,
add and divide by 2 the real component and the imaginary components.

$\frac{6-4}{2} = \frac{2}{2} = 1$

and

$\frac{-2i+6i}{2} = \frac{4i}{2} = 2i$

7 0

3 years ago

Given f(x)=x^3+5x+k, and x+2 is a factor of f(x), then what is the value of k?

Marat540 [252]

3x^3+0x^2-2x+k:x-2=3x^2+6x+10
3x^2-6x^2
6x^2-2x
6x^2-12x
10x+k
10x-20
k+20
Thus k=-20

6 0

3 years ago

Read 2 more answers

Your class is learning to tie knots. Each student needs a piece of rope that is 38 yard long. How many yards of rope are needed

djyliett [7]

38 yard piece for each student and there are 16 students:

38*16=608

608 yards needed for your class

6 0

3 years ago

Read 2 more answers

All of the following are examples of repeating decimal numbers except _____.

Bess [88]

I think it’s 0.141 same

4 0

3 years ago

Read 2 more answers

Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on

Ira Lisetskai [31]

Answer:

3.9 units

Step-by-step explanation:

We are given that,

Time taken by each swing = 2.2 seconds

The pendulum formula is given by, $T = 2\pi \sqrt{\frac{L}{32}}$ , where T is the time taken and L is the length of the swing.

So, we have,

$2.2= 2\pi \sqrt{\frac{L}{32}}$

i.e. $\frac{2.2}{2\pi}=\sqrt{\frac{L}{32}}$

i.e. $(\frac{2.2}{2\pi})^{2}=\frac{L}{32}$

i.e. $L=32\times (\frac{2.2}{2\pi})^{2}$

i.e. $L=32\times \frac{4.84}{4 \pi^2}$

i.e. $L=32\times \frac{1.21}{\pi^2}$

i.e. $L=\frac{38.72}{9.87}$

i.e. L = 3.923 units

So, rounded to tenths, the length of the swing is 3.9 units.

8 0

3 years ago