How can i answer this question

14. Slope (m) of PQ = -4

Slope (m) of RS = 1/4

The lines are perpendicular.

15. mPQ = -3

mRS = 3

They are neither perpendicular nor parallel lines.

16. mPQ = 0

mRS = 0

The lines are parallel.

17. x = -6

18. x = -2

If two lines have the same slope (m), then both lines are parallel to one another. On the other hand, if the slopes of two lines are negative reciprocals to each other, then both lines are regarded as perpendicular lines because the product of their slopes is equal to -1.

Slope (m) = change in y / change in x

14. Slope (m) of PQ = (-3 - 17) / (1 -(-4))

Slope (m) of PQ = -20/5 = -4

Slope (m) of RS = (4 - 3) / (-5 -(-9))

Slope (m) of RS = 1/4

(1/4)(-4) = -1, therefore, the lines are perpendicular.

15. Slope (m) of PQ = (-1 - 14) / (2 -(-3))

Slope (m) of PQ = -15/5 = -3

Slope (m) of RS = (-10 - 8) / (-2 - 4)

Slope (m) of RS = -18/-6 = 3

They are neither perpendicular nor parallel lines.

16. Slope (m) of PQ = (-1 - (-1)) / (-3 - 2)

Slope (m) of PQ = -0/-5 = 0

Slope (m) of RS = (9 - 9) / (-7 -(-11))

Slope (m) of RS = 0/4 = 0

The lines are parallel.

17. If CD║EF, their slope will be equal. Therefore:

Slope of CD = slope of EF

(-4 - 16)/(2 - x) = (4 - 14)/(-2 -(-6))

-20/(2 - x) = -10/4

-20/(2 - x) = -5/2

Cross multiply

-20(2) = -5(2 - x)

-40 = -10 + 5x

-40 + 10 = 5x

-30 = 5x

-30/5 = x

-6 = x

x = -6

18. Slope of JK = slope of l

(-5 -(-8))/(-1 - x) = 6/2

3/(-1 - x) = 3

3(-1 - x) = 3

-3 - 3x = 3

-3x = 3 + 3

-3x = 6

-3x/-3 = 6/-3

x = -2

Learn more about slope of a line on:

https://brainly.com/question/16949303

#SPJ1

Answer:c

Step-by-step explanation:

Answer:

If TD = SG and MD = SL, then angle D would have to equal angle S in order to prove the triangles congruent by SAS.

Step-by-step explanation: C

Answer:

$700.000 is the interest

Step-by-step explanation:

hope the answer helps

Simple interest is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

The total interest is $2100.

It is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

We have,

P = $5000

R = 7%

T = 6 years

SI = P x R x T / 100

SI = 5000 x 7 x 6 / 100

SI = 50 x 7 x 6

SI = 50 x 42

SI = $2100

Thus,

The total interest is $2100.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

Answer:

It's - 28

Step-by-step explanation:

6*-7=-42-4=-28

Answer:

y is -46

Step-by-step explanation:

y= 6x -4 ....means

y =6 *x -4......so replace x with -7

y = 6*-7 -4

y=-42 -4

y= -46

Answer : i believe 100 X is 13 Z is 12

Step-by-step explanation:

sorry if im wrong

try 4,320 for your answer

Answer:

(-10,8)(0,12)(4,-20)

Step-by-step explanation:

You just have to insert the points into the equation and then solve.

Ex: 2(4)-20=-12- True

Answer:

Not too sure, but maybe this is what you need.

(Students = S, Adults = A) So, Ax + Sy = 266?

Or

x10 + y7 = $266

Step-by-step explanation:

I think the second one is the most accurate one, ignore the first equation. T^T

Answer:

[tex]\frac{5}{X^{2} } y^{2}[/tex]

Step-by-step explanation:

sorry the Y isn't under the 5 anyway hope this helped

Answer:

A is the answer.

Step-by-step explanation:

(X^7/2)(y^-3/5)

Answer:

Step-by-step explanation:

the answer

the true answer  is A) 4x^2+52x+165=320; x = 2.5

proof:

since they want to limit its area to 320 in^2

x must be equal 2.5, because 4.(2.5)^2+52(2.5)+165= 25+130+165=320;

the main rule of the area of a triangle is

A= (base x height )/2

let be b the base and h the height

so h=20- 6b

so 50= b x( 20-6b) /2, implies 100/b = 20 - 6b

if b=x, we have 100= 20x -6x² this  is equivalent to 6x² - 20x = -100

so the answer is

D) None of the choices are correct.

the largest dimensions that can be used for the fountain are

B) x^2+8x+16=800

C) x^2+16=800

proof

x^2+8x+16=x^2+8x+4², 4² is the area of the square fountain, and x^2+8x should be the remaining of the area, the total space that the fountain and sidewalk can use is 800, it is  less than 800 ft^2.

Use the same method for. x^2+16=800

Answer:

I don't know but good luck!!!!!

Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  [tex]\displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}[/tex]

At this point, you're supposed to know the factoring of the difference of squares:

  [tex]\displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}[/tex]

Answer:

B

4*2=8

Hope This Helps!!!

b:375:75=5 or 370:100=3.75 but it doesn't make sence B=5

Answer with step-by-step explanation:

To solve this, all we have to do is replace x in 2x - 10 with the number from the table.

6: 2(6) - 10 = 2

7: 2(7) - 10 = 4

8: 2(8) - 10 = 6

9: 2(9) - 10 = 8

There you have it! Have a good day :)

Answer:

y = (x-10 / 5) - 1

Step-by-step explanation:

Hope this helps :)

Answer:

y=1/5x-3

Step-by-step explanation:

y+1=1/5(x-10)

y=-1 +1/5(x-10)

y= -1 +1/5x-2

y=1/5x-3

Answer:

Step-by-step explanation:

y = 4/3x

you can see the line passes through (0,0)

the next point it passes through is (3,4)

(y2-y1)/(x2-x1)

(4 - 0)/(3 - 0)

4 / 3

the slope = 4/3

meaning it goes up 4 and right 3 from point to point

Answer:

IV

y-axis

x-axis.

Step-by-step explanation:

(-2 1/2, -72)  -  2 negative values so: Quadrant IV.

(0, 6):  When x = 0 we are on the y-axis,

(-5, 0):  if y = 0 its the x-axis.

Step-by-step explanation:

[tex] \frac{2}{3} = 2 \times \frac{1}{3} = 2 \times 0.333 = 0.666 \\ \\ \frac{7}{6} = 7 \times \frac{1}{6} = 7 \times \frac{1}{2} \times \frac{1}{3} = 7 \times 0.5 \times 0.333 = 1.1655 \\ \\ 3 \frac{1}{9} = 3 + \frac{1}{9} = 3 + ( \frac{1}{3} \times \frac{1}{ 3} ) = 3 + (0.333 \times 0.333) = 3 \times 0.11088 = 3.11088 \\ \\ 5 \frac{5}{18} = 5 + (5 \times \frac{1}{18} ) = 5 + (5 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{2} ) = 5 +(5 \times 0.333 \times 0.333 \times 0.5) = 5 + 0.27722 = 5.27722[/tex]

Answer:

16

Step-by-step explanation:

1 term is 4 years; and 4 terms times 4 years is 16 years

Answer:

DCBA

Step-by-step explanation:

Answer: The distance around the edge of a circle

Step-by-step explanation:

Actual Product:

4491.9

Estimated Product:

4492

How is it 4492?

4491.9

The 9 is greater than 5 making it go up,

aka, making the 1 turn into a 2.

Answer:

There is something wrong in the answer options.  Please check the equations and formatting.  

Step-by-step explanation:

Assuming the referenced equation is y = 3x + 1 (and not y - 3x + 1), we can say the following.

This is written in the form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

The slope, as I've written it, is 3.  Parallel lines will have the same slope (but a different b).  Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line.  In this case, it would have a slope of -(1/3).

None of the answer options come close to this.  So something is wrong in the question, unless "NONE" is an option.

Answer:

According to the properties of a triangle, all internal angles of a triangle must add up to 180 degrees.

Since we know A and B are 55 degrees and 30 degrees respectively, C = 180-55-30 = 95 degrees.

Thus, the measure of angle C is 95 degrees.

Answer:

[tex]0.007[/tex]

Step-by-step explanation:

Round to the required significant figure:

[tex]0.007[/tex]

The cash payment for the article is RS. 2,260.

A discount reduces the price of an item. The article becomes cheaper after the discount.

Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000

VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the  VAT is levied,

Cost of the article = (100 + 13%) x 2000

1.13 x 2000 = RS 2,260.

To learn more about taxes, please check: https://brainly.com/question/25311567

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

[tex]\huge \bf༆ Answer ༄[/tex]

The method to convert the number from Decimal to binary number system is simple ~

Now let's solve the given question ~

Now, write the numbers from bottom to top ~

[tex] \sf{1100100100000}[/tex]

I hope it helps ~

Answer:

2x + y = 18

y = 4x - 12

x = 5,  y = 8

Step-by-step explanation:

x = 1st number

y = 2nd number

We can use the substitution method as we know what 'y' equals; that value will get plugged in for 'y' in the first equation as follows:

2x + 4x - 12 = 18

6x - 12 = 18

6x = 30

x = 5

y = 4(5) - 12 which is 20-12 or 8

y = 8