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3 years ago

A line goes through the points (-1,9) and (1,1).Write the equation of this line in point slope form using one of these points.

Mathematics

1 answer:

Mashcka [7]3 years ago

3 0

Answer:

y-9= -4(x+1)

Step-by-step explanation:

First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).

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There are 40 marbles in a bag if 14 if the marbles are red what percent of the marbles in the bag are red

Neporo4naja [7]

$\frac{14}{40} \times 100\%=\frac{7 \times 2}{20 \times 2} \times 100\%=\frac{7}{20} \times 100\%=7 \times \frac{100}{20} \%=7 \times 5\%=35\%$

35% of the marbles are red.

4 0

3 years ago

5 less than half a number, x<br><br> please help i will give you the brainliest answer

Karo-lina-s [1.5K]

Answer: 1/2x -5

Step-by-step explanation:

Half of x , less 5. (5 less just means subtract)

5 0

3 years ago

A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

3 0

3 years ago

Denice is making 25 bouquets. 4/5 of the bouquets are roses and the rest are daisies. How many bouquets are daisies?

erica [24]

Answer:

5 of the bouquets are Daises.

Step-by-step explanation:

25 in all. 4/5 are Roses.

4/5 = Rose Bouquets 1/5 = Daisy Bouquets

4/5 = 20/25

1/5 = 5/25

So 5 are Daises

7 0

3 years ago

Write an addition equation or a subtraction equation (your choice!) to describe the diagram.

harina [27]

Answer:

(-9) + (-2) = -11

Step-by-step explanation:

The first arrow on the number line starts from 0, moves downwards 9 units from 0.

We would write this as -9.

Also, the next arrow starts moves from -9, 2 units downwards.

We would write this as -2

The addition equation would be:

(-9) + (-2) = -11

4 0

3 years ago