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3 years ago

Line GH passes through my points (2,5) and (6,9)

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

Answer:

The slope is 1

The equation is y = x+3

Step-by-step explanation:

To find the slope between 2 points

m = (y2-y1)/ (x2-x1)

= (9-5)/ (6-2)

= 4/4

The equation of the line is

y-y1 = m(x-x1)

y-5 = 1(x-2)

y-5= x-2

Add 5 to each side

y-5+5 = x-2+5

y = x+3

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Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is

bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is $m=\frac{6-1}{2-3}$

$\implies m=\frac{5}{-1}=-5$ .

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is $m=\frac{4-5}{-2- -2}=\frac{-1}{0}$ = undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is $m=\frac{10-8}{2-0}=\frac{2}{2}=+1$

A positive slope means this line rises

24) The points are (-3,-3), (3,1)

The slope is $m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}$

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: $m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2$

A negative slope means this line falls

26) The points are (-2,-8) , (5,-8).

Slope: $m=\frac{-8--8}{5--2}=\frac{0}{7}=0$

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: $m=\frac{3-2}{5--1}=+\frac{1}{6}$

A positive slope means this line rises

28) The points are: $(\frac{1}{2},4)$ , (-1,4)

Slope: $m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0$

A zero slope means the line is horizontal

29) The points are: $(4,\frac{1}{2}), (5,\frac{1}{4})$

Slope: $m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}$

A negative slope means this line falls.

6 0

3 years ago

ZA and ZB are vertical angles. If mZA= (5x – 4) and mZB = (2x – 1)º, then find the value of x. INI

natulia [17]

Answer:

x = 1

Step-by-step explanation:

It is given that,

∠A and ∠B are vertical angles.

∠A = (5x – 4) and ∠B = (2x – 1)

We need to find the value of x.

We know that, the vertical angles are equal. So,

∠A=∠B

(5x – 4)=(2x – 1)

Taking like terms together,

5x-2x = 4-1

3x=3

x = 1

So, the value of x is equal to 1.

4 0

3 years ago

Which of the following is the solution set of the given equation?

GarryVolchara [31]

Answer is -10
(x-3)-2(x+6)= -5
x-3-2x-12= -5
-x= -5+12+3
-x=10
x= -10

3 0

3 years ago

Read 2 more answers

Express the sum or difference as a product: cos 4x - cos 6x

Jobisdone [24]

Cos -2x or -cos2x, it's the difference.

3 0

3 years ago

I REALLY need help with these 3 questions plz!!!!

Tanzania [10]

Answer:

6. No. See explanation below.

7. 18 months

8. 16

Step-by-step explanation:

6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.

Let's find the GCF of 85 and 99:

85 = 5 * 17

99 = 3^2 + 11

5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.

Answer: No because the GCF of 85 and 99 is 1.

We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.

6 = 2 * 3

9 = 3^2

LCM = 2 * 3^2 = 2 * 9 = 18

Answer: 18 months

We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.

Month Charlie Dasha

1 home home

2 home home

3 home home

4 home home

5 home home

6 trip home

7 home home

8 home home

9 home trip

10 home home

11 home home

12 trip home

13 home home

14 home home

15 home home

16 home home

17 home home

18 trip trip

Answer: 18 months

First, we find the prime factorizations of 96 an 80.

96 = 2^5 * 3

80 = 2^4 *5

GCF = 2^4 = 16

Answer: 16

7 0

3 years ago