8.
+
-8-64
2
2
68
-4
-6
-8-
For what value of y do both equations have the same solution for x?

Given :

Two points (7,-4) and (-3,4).

To Find :

The equation of line passes through the given points.

Solution :

We know, equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given by :

[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})(x-x_1)\\\\y-(-4) = (\dfrac{4-(-4)}{-3-7})(x-7)\\\\y+4 = -\dfrac{4}{5}(x-7)\\\\5y+ 20 = -4x + 28\\\\5y + 4x = 8[/tex]

Therefore, equation of required line is 5y + 4x = 8.

Answer: 150

Step-by-step explanation:

30% = 0.3

100-30=70

70% = 0.7

0.7 X 500 = 350

500-350 = 150

For every 500 Americans, the number of people  fall asleep before the New Year is, 150

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

30% of Americans will fall asleep before midnight

For every 500 Americans, about how many will be sleeping before the New Year?

Percentage = num. of people fall asleep in sample/Total people in sample ×100

30 = N/500×100

N  = 150

Hence, the number of people fall asleep is 150

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Answer:

16

Step-by-step explanation:

8 × 4 = 32

32 ÷ 2 = 16

hope this helps...

Answer:

16

Step-by-step explanation:

Area of a triangle = base x height divided by 2

base = 8

height = 4

8 x 4 = 32

32/2 = 16

Area = 16

Hope this helps!

Step-by-step explanation:

I dunno how to explain but the answer is 15 inches

Answer:

g) 2 h) 4

Step-by-step explanation:

g) The time t when the instantaneous velocity of the positron is zero is;

t = 2

h) The location of the positron at the time of t = 2 is;

p = 4.

g) We are told that the function that models the position of the sub atomic particles is;

p(t) = t²/(t - 1)

Instantaneous velocity is simply the derivative of the distance with respect to time.

Thus, Instantaneous velocity is gotten by using online differentiation calculator to get; dp/dt = [2t/(t - 1)] - [t²/(t - 1)²]

When Instantaneous velocity is zero, we have;

[2t/(t - 1)] - [t²/(t - 1)²] = 0

Rearranging to get;

[2t/(t - 1)] = [t²/(t - 1)²]

Cross multiply to get;

2t(t - 1)² = t²(t - 1)

divide both sides by t to get;

2(t - 1)² = t(t - 1)

Expand the bracket to get;

2(t² - 2t + 1) = t² - t

2t² - 4t + 2 = t² - t

Rearrange to get;

t² - 3t + 2 = 0

Using online quadratic equation solver gives;

t = 1 or 2

We are told that t > 1

Thus, we will adopt t = 2

h) At t = 2 seconds gotten in g above, the positron is located at;

p(2) = 2²/(2 - 1)

p(2) = 4

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Answer:true

the statement is true

Answer:

08 runners finished the race.

Step-by-step explanation:

Given that:

Number of runners at the race = 60

Number of runners dropped in first half = 1/3 of 60

Number of runners dropped in first half = [tex]\frac{1}{3}*60 = 20[/tex]

Remaining runners = 60 - 20 = 40

Number of runners dropped in second half = 4/5 of 40

Number of runners dropped = [tex]\frac{4}{5}*40 = 32[/tex]

Runners left = 40 - 32 = 08

Hence,

08 runners finished the race.

Answer:

I am not the person to answer this question but the answer is B or74/3

Answer:

1+4+7

2+4+6

3+4+5

Step-by-step explanation:

Answer:

6+4+2=12     5+4+3 =12

Step-by-step explanation:

Answer:1/6

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

There are six numbers in total on the die.

Numbers ( 1 - 6 )

The number 4 appears only once on the die.

[tex]\frac{\text{preferred outcome}}{\text{total outcomes}} =\frac{1}{6}[/tex]

There is a 1/6 chance that the die would land on a four.

Hope this helps.  

Answer: i will answer dont worry but wheres the shaded regoin

Step-by-step explanation:

i will type the real answer in the comments below

Answer: 27 minutes

Step-by-step explanation:

Answer:

k = 11

Step-by-step explanation:

Expand brackets

2k - 10 = 12

add 10 on both sides

2k = 22

divide both sides by 2

k = 11

3/4 of 80 = 60.

First off let's start with 1/4 of 80.

80/4 = 20.

But the question asks for 3/4 and that’s three times more than 1/4 so you multiply 3 to 20.

20*3 = 60.

So your answer is 60.

Answer:

$1.28 per liter

Step-by-step explanation:

750ml/1 L = .75

.96/.75 = 1.28

Answer:           x(2x=1)(x+1)-3(2x+1)(x+1)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3*8=24

24-13=11

Answer:

4

Step-by-step explanation:

4² = 16

Answer: 169π in. squared

Step-by-step explanation: 13x13xπ

Answer:

[tex]2y\sqrt{2x}[/tex]

Step-by-step explanation:

For this we have to divide like normally but for the exponents we will subtract them since this is a division problem. We would've added them if we were multiplying.

[tex]\frac{\sqrt{32x^5y^8}}{\sqrt{4x^4y^6}}=\sqrt{8xy^2}[/tex]

Now we will split the 8 into 4 and 2. Also we can take the square root of y² while we're at it.

[tex]y\sqrt{4}\sqrt{2x}[/tex]

Now we take the square root of 4.

[tex]2y\sqrt{2x}[/tex]

Answer:

650,000,000

Step-by-step explanation:

6.5x10^8

Answer:

y-3 = -4 (x-1)

Step-by-step explanation:

y= -4x - 5

In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).

Use the point (1,3) and substitute it into the equation.

Point-slope form: y-y1 = m(x-x1)

y-3 = -4 (x-1)

Answer:

Step-by-step explanation:

s = 5k + 10

-10            -10

___________

-10 + s = 5k

divided by 5

_________

-2 + s = k

-2         -2

_________

s = k -2

not sure how im sopposed to solve for t when it wasn't in the equation but here's what I got.

Answer:

exactly normal

Answer:im pretty sure its C

Step-by-step explanation:

Answer:

y = -1

x = 1

Step-by-step explanation:

as I have done the equation in the picture, I decided to re-write the second equation so that it's easier for me to use.

Answer:

What's the Following?

Step-by-step explanation: