Mathematics High School

Write the equation of a line going through the points (4,2) and (7,-3).

Answers

Answer 1

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

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Answer:5m+22-15n

Step-by-step explanation:

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Answer:

20°,40°,75°

Step-by-step explanation:

Subtract the number from 90 and turn the difference to a degree

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Which angle number is adjacent to angle to ZOKL?
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Answer:

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Step-by-step explanation:

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Answer:

Y = 3 - 2x

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AFE=35 degrees because 180=55+90+x

Answer:

∠ AFE = 35°

Step-by-step explanation:

∠ EFD = ∠ BFC = 55° ( vertically opposite angles )

Since BD is a straight line , then

∠ EFD + ∠ AFE + AFB = 180°, that is

55° + ∠ AFE + 90° = 180

∠ AFE + 145° = 180° ( subtract 145° from both sides )

∠ AFE = 35°

You and a friend tutor for a total of 12 hours. Use the
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You
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Answers

The answer is 2
12/6=2
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X + 5x - 6 < 12 solve for inequality

Answers

Answer:

7

Step-by-step explanation:

x+5x<12

x+5x=12

12-5x

=7

7 divide by 1

=7

A thermometer is used to calculate the average kinetic energy of the molecules in in a substance what is the theoretical temperature at which molecular motion stop?
A. 9 degrees Celsius
B. 32 degrees Fahrenheit
C. Absolute
D. 273 Kalvin

Answers

.....The answer is C

4|m-n|
If m=-7 and n=2

Answers

you would first substitute -7 for m and 2 for n. It would look like this: 4| -7-2 | . we first solve the absolute value because it is the first step in PEMDAS or order of operations. -7-2 is equal to -9. Our equation should look like this now: 4 |-9| . we solve the absolute value portion, the absolute value of a negative number is the the same number but positive. the absolute value would be 9. (we just take the negative symbol off). we now have 4 x 9. This is equal to 36.

36 is the answer.

5% of the students in Mr. Ferris's class joined the
band. If 65 students joined the band, how many
students are there in Mr. Ferris's class?

there’s not abc or d :( but can someone help me?

Answers

Answer:

maybe 68?

Step-by-step explanation:

Matthew buys 13 uniforms for the baseball team. He pays $455 in total. What ratio shows the relationship of price to uniforms?

2Points
Select 2 possible answers.

Remember to reduce the ratio by the GCF

A
1 to 13

B
35 to 1

C
13 to 455

D
455 to 13

Answers

Answer: 35:1

Step-by-step explanation:

Glad I could Help :)

i need le help...if u have 25 pieces of gum and you got 7 more pieces then subtracted 3 and added 16 what would it equal Im to tired and my brain hurts from the test to figure it out

Answers

Answer:

45

Step-by-step explanation:

25 plus 7 is 32

32 minus 3 is 29

29 plus 16 is 45

hmmm well that's a  lil too hard for my smol brain to process but hmmm well when I think about it, it really gets my brain thinking and ummm well you see it's uh hmm you add the yeah to that and hmmmm well ahhh that looks to be about right uuuuuuuuuh

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Answers

A
Both would be considered exterior angles.

3x + x - 7 = 10

What does x=

Answers

First you add 3x+x because they are like terms.

3x+x-7=10  

Your New Simplified Equation:

4x-7=10  

Now, you have to take out the -7 by adding a positive 7. Also you                          have to add +7 on the other side so add 7 to 10.

Your New Simplified Equation:

4x=17      Now, you divide both sides by 4.

Your New Simplified Equation:

x= 17/4 So, that's your answer :)

Christina needed 8 pounds of flour to make cookies that will
serve 44 people. How many pounds of flour will Christina
need to feed 66 people?

Answers

Answer:

12

Step-by-step explanation:

4 pounds is 22 people

8 is 44

12 is 66

Solve 7+2x over 3 = 5

Please and thank you! x

Answers

Answer:

x = 4

Step-by-step explanation:

(7 + 2x) / 3 = 5

Cross product

7 + 2x = 5 * 3

7 + 2x = 15

Subtract 7 from both sides

2x = 15 - 7

2x = 8

Divide both sides by 2

x = 8/2

x = 4

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi​

Answers

Answer: 16pi

Step-by-step explanation:

5+4−6=24 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

its false

Step-by-step explanation:

5+4-6=24

9-6=24

3=24 3 does not equal to 24 so its false

Help please! i have gymnastics soon

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Answer:

A)

Step-by-step explanation:

The answer is A for sure

declare the variables
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Answers

The answer is 7 because u add them

It took a car 4 days to travel 2686 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

Answers

Answer:

28

Step-by-step explanation:

Well we know that in a day there are 24 hrs so in 4 days there will be 96 hrs

so the car travelled 2686 miles in 96 hours

2686/96= 27.9791666667

So the car's average speed is about 28

y = -x + 3
What is the slope for this?

Answers

The slope for this equation is x=3

7= -5x
Select one:
O1. Multiply each side by 5.
O2. Multiply each side by -5.
O3. Multiply each side by 1/5.
04. Multiply each side by -1/5.

Answers

Option 2 multiple each side by -5
Option 4. Multiply each side by -1/5
It’s the same as dividing by -5.
The - cancels out and 5/1x1/5 is equal to one

The sum of two numbers is 25. Twice the first number minus the second is 6. Find the numbers.

Answers

Answer:

Step-by-step explanation:

x + y = 25

2x - y = 6           Solve for y in this the second equation. Add y to both sides

2x  = 6 + y         The ys on the left cancel. Subtract 6 from both sides.

2x - 6 = y

Put this value of y into the first equation

x + y = 25

x + 2x - 6 = 25      Combine on the left

3x - 6 = 25           Add 6 to both sides.

3x = 25 + 6           Combine the right

3x = 31                   Divide by 3

x = 31 / 3            

x = 10.333333

x + y = 25

10.33333 + y = 25  Subtract 10.33333

y = 25 - 10.333333

y = 14.666666

x + y = 25

10.33333 + 14.66666

25 approximately.

2x - y = 6

2*10.33333 - 14.66666

20.66666 - 14.66666

6

You should note that those numbers are repeating decimals

2x - 6 = y

Which expression is equivalent to the measure of 24 in the image below?
5
6
3
1
2
4

Answers

I can’t see the image I’m sorry maybe it’s just me

Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.
[4 marks]

Answers

Step-by-step explanation:

For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.

For px² + 8x + 2 = 0,

We have a = p, b = 8 and c = 2.

=> (8)² - 4(p)(2) < 0

=> 64 - 8p < 0

=> 8p > 64

=> p > 8

Hence the range for p is p > 8.

What is the slope of the graphed line?

Answers

Answer:

3/9

Step-by-step explanation:

3/9 because it goes up 3 right 9

A train travels 240 miles in 6 hours. At this rate, how far could the train go in 13 hours?

Answers

Answer:

Step-by-step explanation:

520 miles

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