Write the equation of the line that passes through the points (0,8) and (-1, –4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer 1

Answer:

Step-by-step explanation

First, let's remember the equation for point-slope form and how to find the 'm' value:

[tex]y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12[/tex]

Now plug your m value and (x1, y1) into point-slope form:

[tex]y - 8 = 12(x-0)\\reduce\\y=12x+8[/tex]


Related Questions

Pleaseee helppppp it’s timedddddd!!!!!!!

Answers

Answer:

Option (4)

Step-by-step explanation:

Point to remember for the dilation,

Area scale factor = (Dimension scale factor)²

It's given in the question,

Dimension scale factor = [tex]\frac{2x}{5y}[/tex]

Therefore, area scale factor = [tex](\frac{2x}{5y})^2[/tex]

                                               = [tex]\frac{4x^2}{25y^2}[/tex]

Option (4) will be the correct option.

The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between the increasing years and the increasing value of the account is exponential.

Answers

Answer:

1. Constant multiplicative.

2. 1.05.

Step-by-step explanation:

Their savings increase by 1.05x every year.

59.84 divided 32
What is the value of the expression?

Answers

59.84/32
answer:
1.87

3 2/3 Divided by 1 2/7

Answers

Answer:

[tex]2 \frac{23}{27} [/tex]

I wish you luck in your assignments.

Yasmeen is setting up a business.
She borrows $5000 from a loan company.
The loan company charges 6% per year simple interest.
How much interest will Yasmeen pay after 3 years?

Answers

5000 x 6% =300
300 x 3 = $900

What is the slope of a horizontal line? Write the equation of an example of a horizontal line.

Answers

The slope of the horizontal line will be zero.

What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.

The horizontal line always has zero slopes because the y coordinate will always be the same for two points.

The slope is calculated by the formula below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

y₂ = y₁

Slope = ( y₁  - y₁ ) / ( x₂ - x₁ )

Slope = 0

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Write a number sentence using multiplication ti show what fraction represented on the mumber line is equivalent to 3/4

Answers

The fraction that is equivalent to 3/4 is seen as; 6/8

How to represent fractions?

A number sentence is defined as a mathematical sentence that is made up of numbers and symbols.

We want to write a number sentence using multiplication to show a fraction that is equivalent to 3/4.

Now, for us to find the final equivalent fraction, what we have to do is that we will divide or multiply by  denominator and numerator by the same number that is equal to one e.g 3/3; 5/5; 6/6, etc.

Since we want to find equivalent fraction of 3/4, let us multiply both numerator and denominator by 2 to get;

(3 * 2)/(4 * 2) = 6/8

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What is the measure of Angle B A C?

Triangle A B C. Angle B is 50 degrees, angle C is 50 degrees, and angle A is blank.
50 degrees
80 degrees
100 degrees
130 degrees

Answers

it's 180-50-50=180-100=80°

The ratio of pens to pencils that Jose has on his desk is 5:3. If Jose has 15 pens on his desk then how many pencils does he have?

Answers

Answer:

9 pencils

Step-by-step explanation:

We know that the ratio is 5:3 and its pens to pencils. So, every 5 pens have 3 pencils. Now Jose has 15 pens, so his pen supply triples. therefore his pencil supply must also triple. So 3x3=9.

Let the no. of pencils be x,

= 5/3 = 15/x

Do cross multiplication

= 5x = 15 × 3

= x = 45/5

= x = 9

No of pencils = 9

Please help me with this question as soon as possible :)

Answers

The constant cost call c is $0.7 and the cost of per minute call m is $0.93.

What is system of equations?

In algebra, a system of equations consists of two or more equations and looks for ways to solve them all together. A group of equations that have the same set of variables as solutions are referred to as a system of linear equations.

Let the constant cost be c and the per minute cost be denoted by m.

The equation for 5 minutes of the call is:

5.91 = 5m + c

c = 5.91 - 5m

The equation for 10 minutes of the call is:

10.06 = 10m + c

Substitute the value of c in the above equation:

10.06 = 10m + 5.91 - 5m

10.06 - 5.91 = 5m

4.69 = 5m

m = 0.93

Substitute the value of m:

10.06 = 10(0.93) + c

c= 0.7

Hence, the constant cost call c is $0.7 and the cost of per minute call m is $0.93.

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find in how many ways can two admirals, three generals and 4 lieutenants can be seated in a row of nine seats if the admirals must sit at each end?

Answers

Answer:

They can be seated in 10,080 ways.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

In this question:

In each end, the two admirals, so 2 possible outcomes.

In the middle seats, arrangements of 7 elements(3 generals, 4 lieutenants). So

[tex]2A_{7} = 2*7! = 10080[/tex]

They can be seated in 10,080 ways.

The number of ways they can be seated is 10,080 ways.

Permutations and combination

The number of possible ways fof arranging n elements is given as:

P = n!

According to the question, there are 2 admirals! 3 generals and 4 lieutenant.

In each end, the two admirals, so 2 possible outcomes.

In the middle seats, arrangements of 7 elements(3 generals, 4 lieutenants). Hence the required number of combination will be given as:

Number of ways = 2*7!

Number of ways = = 100802

Hence the number of ways they can be seated is 10,080 ways.

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Once a week you babysit your neighbor's toddler after school, usually going to
a local playground. You notice that each swing on the swing set takes nearly
the same amount of time, about 2.7 seconds. Use the pendulum formula
below to find out how long the swing is. Round your answer to the tenths
place.

Answers

Answer:

l = 1.8 feet

Step-by-step explanation:

Given that,

The time period of the pendulum, T = 2.7 seconds

We need to find the length of the swing. The formula for the time period of a simple pendulum is given by :

[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

Where

l is the length of the swing.

[tex]T^2=\dfrac{4\pi^2l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}\\\\l=\dfrac{(2.7)^2\times 9.8}{4\times 3.14^2}\\\\l=1.8\ \text{feet}[/tex]

So, the length of the swing is 1.8 feet long.

Answer:5.4

Step-by-step explanation:

Prove that limx→2 2^x=4 using the formal definition of limit​.​

Answers

Answer:

Refer to step-by-step

Step-by-step explanation:

Prove that, [tex]\lim_{x \to \22} 2^{x}=4[/tex]

Plug in the value of 2 into the limit.

[tex](2)^{2}=4[/tex]

Thus we proved the limit.

Solve the equation 5(4x-1.5x) + 12 = 4x- 124 for X

Answers

[tex] \sf \: 5(4x -1.5x) + 12 = 4x - 124 \\ \sf \: 5 \times 2.5x + 12 = 4x - 124 \\ \sf \: 12.5x + 12 = 4x - 124 \\ \sf \: 12.5x - 4x = - 124 - 12 \\ \sf \: 8.5x = - 136 \\ \sf \: x = - 16[/tex]

Only answer if you know the real answer please appreciate it answer question number 2 please

Answers

Answer:

0.99

Step-by-step explanation:

Median is the middle term (or mean of the middle two terms) of a series arranged in order of magnitude.

Here the weights are already arranged in order and the middle term is 0.99

Therefor the median = 0.99

20 ounces at $7
17 ounces at x dollars

225 bushels for 3 acres
x bushels for 9.6 acres

Answers

9514 1404 393

Answer:

$5.95720 bu

Step-by-step explanation:

We assume the given ratios are proportional. I find it easiest to write the proportion with the unknown in the numerator.

a) dollars/ounces = x/17 = 7/20

Multiply by the inverse of the coefficient of x to solve.

  x = 17(7/20) = 5.95 . . . dollars

__

b) bushels/acres = x/9.6 = 225/3

  x = 9.6(225/3) = 720 . . . bushels

Write as an radical expression
U 2/5

Answers

Answer:

Step-by-step explanation:

An radical expression usually involves a radicand which is the number or expression inside the radical symbol √ and an index which is the number outside the radical symbol indicating the root, the radicand raised to the power of the reciprocal of the index.

But in the case of expression "U-2/5" it's not a radical expression as is. It's a fractional expression with variable U and a constant -2/5.

It can be written as √(U-2)/5 or U- √(2/5) if you want to express it as an radical expression.

Julla drinks 20 cups of water per day. How many quart(s) of water does she drink per day? Julla drinks ? quart(s) of water per day.​

Answers

Answer:

5 quarts

Step-by-step explanation:

there are 4 cups in a quart so 20/4=5 or

5x4=20 ykyk

5 quarts is ur answer <3

The graph shows Sam's earnings. What is the constant
of proportionality between Sam's earnings and the
number of hours he worked?

Answers

Answer:

8

Step-by-step explanation:

Constant of proportionality, k = y/x

y = earnings ($)

x = time (h)

Any point on the line can be used to determine the constant of proportionality. Let's use, (1, 8)

Constant of proportionality, k = y/x = 8/1

k = 8

How many tens do u need to make 280

Answers

Answer:

28

Step-by-step explanation:

280 divided by 10 = 28

28 because 280/10=28

Which ordered pair is a solution to the inequality
y ≥ 4x-5

(3,0) (3,4) (1,1) (2,1)

Answers

Answer:

(1, 1)

Step-by-step explanation:

in the order pair you have (x, y) so if is ( 3, 0) it means is ( x=3, y=0)

substitute in the inequality those x, and y values and see if it checks

y ≥ 4x-5

for ( 3, 0) is 0 ≥ 4*3-5 false

for ( 3,4)  is 4 ≥ 4*3-5 false

for (1,1) is 1 ≥ 4*1-5 true because 1 ≥ -1

for (2, 1) is 1 ≥ 4*2-5 false

PLEASE Help. The answers I got so far are A. 72. B. 301. C 90 and D 252. I am having the most trouble with B and D.

Answers

The correct solutions for this question are as:

(A) Bearing of B from A = 72°

(B) Bearing of B from C = 342°

(C) Bearing of A from B = 252°

(D) Bearing of A from C = 293°

Step by step solution:

(A) Bearing of B from A:

= 72° (Given in question)

(B) Bearing of B from C: = 342°

Solution:

As sum of co-interior angles is 180° , i.e.  ∠NBC +∠NCB =180°

so, 162° + ∠NCB = 180°

     ∠NCB = 180°-162°

     ∠NCB = 18°

reflexive angle NCB =360° - ∠NCB

reflexive angle NCB = 360° - 18°

reflexive angle NCB = 342°

So, bearing of B from C: = 342°

(C) Bearing of A from B: = 252°

Solution:

First extend the line AB to any point (let's say "X")

So, ∠NBX = 72°   [BY USING CORRESPONDING ANGLES]

Bearing of A from B = ∠NBX + 180°

Bearing of A from B =72° + 180°

Bearing of A from B =252°

(D) Bearing of A from C: = 293°

Solution:

Bearing of A from C= 360° - (∠BCA + ∠BCN)

Bearing of A from C= 360° - (49° + 18°)

Bearing of A from C= 360° - (67°)

Bearing of A from C= 293°

Important Points for "Bearing of Angles":

A bearing is an angle that is calculated clockwise from the north. A traverse should be regarded as anticlockwise unless differently stated or obvious from the bearings.

The angle between two lines cannot be directly read using a regular compass. By tracking the two lines bearings away from their point of confluence, the angles can be found.

Two angles—an inner angle and an exterior angle—are created when the two lines converge at a place. These two angles add up to a 360° angle.

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Equations of Exponential Functions

Given the following table, determine the missing value.

a. 1.15 c. 15
b. 115 d. .15

Please select the best answer from the choices provided

Answers

Answer:

A. 1.15

Step-by-step explanation:

I calculated it logically

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. The p-value for this test statistics is: a. 0.05 b. 0.0228 c. 0.0456 d. 0.025 brainly

Answers

Answer:

The appropriate answer is option b (0.0228).

Step-by-step explanation:

The given values are:

Random sample,

[tex]n=100[/tex]

Average length of time,

[tex]\bar{x}=3.1 \ minutes[/tex]

Waiting time,

[tex]\mu=3 \ minutes[/tex]

Standard deviation,

[tex]\sigma=0.5[/tex]

Now,

The test statistics will be:

⇒  [tex]z=\frac{(\bar{x}-\mu)}{\frac{\sigma}{\sqrt{n} } }[/tex]

On substituting the values, we get

⇒     [tex]=\frac{(3.1-3)}{\frac{0.5}{\sqrt{100} } }[/tex]

⇒     [tex]=\frac{0.1}{0.05}[/tex]

⇒     [tex]=2[/tex]

hence,

⇒  [tex]P(z >2 ) = 1 - P(z <2 )[/tex]

By using the table,

⇒                 [tex]=1-0.9772[/tex]

⇒                 [tex]=0.0228[/tex]

Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer.

Answers

Answer:

it is 62 or 58 because they are show the most times

Answer:

The answer is 61.

Step-by-step explanation:

There are t counters in a box.
Write an expression for the total number of counters.

Answers

Answer: 4t

Step-by-step explanation:

You just do t times the amount of boxes you have, which is 4. So you have 4 times t, but in algebra, we don't write the multiplication sign. So the expression would be written as 4t. Yw!

Also please tell me if I was unhelpful/incorrect, thanks!

Simisola wants to compare the time take
to make yoghurt at different temperature
List the variables she should control.

Answers

Yogurt production is affected by the production technological conditions.

What is yoghurt different temperature?Yogurt production is affected by the production technological conditions. Increase in the incubation temperature (42-45ᵒC) resulted to increase in the coagulation of the milk protein present (induced by thermophilic bacteria) and viscosity. This also resulted in increased acidity of the yoghurt.The temperature must be 108°F to 112°F for yogurt bacteria to grow properly. Too high a temperature inactivates bacteria; too low a temperature prohibits growth. Inhibitor substances such as detergent from dishes. Wash and rinse dishes well before making yogurt.Making yogurt at home is a fairly straight-forward process. Heat milk to 180F (82C), cool that milk to at least 110F (43C), add live cultures, usually in the form of yogurt with said cultures, incubate, then chill.There are several variables in the process, some of which are: The fat content of the milk (I typically use whole), how long to hold the milk during the initial heat step, how long it takes to cool the milk, the temperature of the incubation step, and the length of time for incubation, to name a few.

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NEED HELP CLICK TO SEE LINKS WILL GET REPORTED

Answers

I'm not sure what the first and last question answers are sorry. But I know that the second question is 31 the third question is 10 and the fourth question is 12.


i need help, this is pythagorean theorem !! i do not understand

Answers

In mathematics, the Pythagorean theorem is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. State that the area of the square whose side is the hypotenuse

Fórmu

Check the correct operation each word represents.

Answers

Answer:

difference - subtraction

sum - addition

of - multiplication

per - division

decreased by - subtract

together - addition

quotient - division

product - multiplication

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