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4 years ago

(25 POINTS!!)What is the equation of the line that passes through the points (15,9) and (-2,9)?

2 answers:

dsp734 years ago

8 0

$\text{d stands for distance between two points} \\d(A, B)=\sqrt{(\Delta{x})^2+(\Delta{y})^2} \\\text{or simply} \\d(A, B)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{now put in the data} \\d(A, B)=\sqrt{(-2-15)^2+(9-9)^2} \\d(A, B)=\sqrt{(-17)^2} \\d(A, B)=\boxed{17} \\$

Viktor [21]4 years ago

5 0

Let's use the point-slope formula...

y-y1=m(x-x1)

m is the slope.

y--9=7(x--2)

Subtracting a negative number is the same as adding a positive number...

y+9=7(x+2)

y+9=7x+14

Let's subtract 9 from both sides...

-9+y+9=7x+14-9

y=7x+5

The formula is now in the format of...

y=mx+b

This is known as slope-intercept.

m is the slope.

b is the y-intercept, the value of y when x=0.

Standard formula is...

Ax+By=C

Neither A nor B equal zero.

A is greater than zero.

y=7x+5

Let's move 7x to the left side of the equation. It becomes negative.

-7x+y=5

Let's multiply both sides by -1 to render A greater than zero.

-1(-7x+y)=(5)(-1)

7x-y=-5 

This is the equation in standard form.

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In a cryptarithm, each letter is assigned its own unique digit. In the cryptarithm shown (where MATH is 3 times FUN), FUN is a 3

ANEK [815]

The 3 digit number that is FUN is; 678

<h3>What is the combination of the numbers?</h3>

We are told that MATH is 3 times the word "FUN".

We are also told that each letter is assigned a unique number and that no leading digit can be zero and that the digits must be consecutive.

Now, product of 789 by 3 gives;2367.

Each letter should have a unique letter and so that is not the correct sequence.

Let us try the product of 678 by;

678 * 3 = 2034

This fulfils the condition of the question because each letter has a unique digit, the lead digit is not zero and the numbers are consecutive numbers in increasing order.

Thus, the 3-digit number that is FUN is 678.

Read more about combination of numbers at; brainly.com/question/12468032

4 0

3 years ago

Read 2 more answers

Jeremiah invested money into two different accounts at the same time. The system of inequalities represents the balance of each

olasank [31]

Answer:

1st statement is true.

2nd statement is false.

3rd statement is true.

Step-by-step explanation:

We have been given two inequalities and we are asked to find out whether the given statements are true or false.

$y\geq 1.2x+100$ represents balance of account A and $y\geq 1.23x+50$ represents balance of account B.

1. We can see from our inequalities that Jeremiah initially invested $100 in account A and $50 in account B. Therefore, 1st statement is true.

2. The rate at which balance of account A grows is 1.2 and rate for account B is 1.23. Therefore, 2nd statement is false.

3. We can find total amount Jeremiah invested in two accounts by adding initial investment of both accounts, that is 100+50=150 . Therefore, 3rd statement is true.

4 0

4 years ago

The temperature, T, of a given mass of gas varies inversely with its Volume,V. The temperature of 98 cm ³ of a certain gas is 28

Naily [24]

Answer:

T₂ = 421.4 K

Step-by-step explanation:

The temperature, T, of a given mass of gas varies inversely with its Volume,V.

$T\propto \dfrac{1}{V}\\\\V_1T_1=V_2T_2$

We have,

V₁ = 98 cm³, T₁ = 28° C = (28+273) K = 301 K

V₂ = 70 cm₃

We need to find the new temperature of the gas. Using the above relation to find T₂.

$T_2=\dfrac{V_1T_1}{V_2}\\\\T_2=\dfrac{98\times 301}{70}\\\\T_2=421.4\ K$

Hence, the required temperature of the gas is 421.4 K.

4 0

3 years ago

Claire has received scores of 85,82, and 75 on her algebra tests. what score must she receive on the fourth test to have an over

Nina [5.8K]

Fourth test mark should be 86

85 + 82 + 75 + 86 = 328
328 divide by 4 (as there are four tests) = 82

8 0

4 years ago

Roseanne makes 1 1/2 L of lemonade. She pours 1/4 of liter of lemonade into a thermos to take to the park. Her brother drinks 2/

Elis [28]

Answer:

1/2 L

Step-by-step explanation:

She makes 1 1/2 L of lemonade i.e. 3/2 L of lemonade.

She pours 1/4 of liter of lemonade into a thermos to take to the park. The amount of lemonade left is:

3/2 - 1/4 = 1 1/4 L = 5/4 L

Her brother drinks 2/5 of the remaining lemonade. The amount of lemonade that her brother drinks is:

2/5 * 5/4 = 1/2 L

Her brother drinks 1/2 L.

4 0

3 years ago