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3 years ago

Solve using elimination. 2x – 4y = 10 -3x + 4y = -19

Mathematics

1 answer:

Darina [25.2K]3 years ago

6 0

Answer:

x= 9 y=2

Step-by-step explanation:

Add up the equations vertically to eliminate y.

-x=-9

change the signs:

x=9

substitute the given value of x into the equation 2x-4y=10

2(9)-4y=10

18-4y=10

4y=8

y=2

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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

Find the measurement of angle JGH

yaroslaw [1]

Answer:

90degrees

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"

TEA [102]

Answer:

y = - $\frac{1}{3}$ x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - $\frac{1}{3}$ , then

y = - $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - $\frac{1}{3}$ x + 1 ← equation of line

8 0

2 years ago

ASAP HELP:The number of chapters read, y, after x days. The 5 slope of the line is and the y-intercept is 2. slope means... y-in

Rufina [12.5K]

Answer:

Step-by-step explanation:

The number of chapters read = y

Number of days spent to read = x

Slope of the line = $\frac{5}{4}$ ≈ 1.25

y-intercept = 2

Slope means "number of pages read per day"

For slope = 1.25 means "1.25 pages read per day"

y-intercept means "Number of pages read initially"

y-intercept = 2 means "2 pages have been already read"

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3 years ago

What is the landing strip’s area ?

Vinil7 [7]

The answer is D.
First subtract 9 from 5,364 then divide you answer by two. Then you should get 2673. Multiple this number by 9 to get an area of 24,057.

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2 years ago