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3 years ago

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Mathematics

1 answer:

Gemiola [76]3 years ago

6 0

Answer:

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Greatest common factor 24 & 48

Tcecarenko [31]

Greatest common factor = 24

5 0

3 years ago

Read 2 more answers

What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?

gogolik [260]

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

$y-1=2\left(x-\left(-1\right)\right)$

$y-1=2\left(x+1\right)$

Add 1 to both sides

$y-1+1=2\left(x+1\right)+1$

Simplify

$y=2x+3$

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

4 0

3 years ago

Can someone please help me

DIA [1.3K]

Surface Area of A Cylinder.

As=2(3.14)rh+2(3.14)r^2

Radius: 6in

Height: 9 in

Plug it in:

2(3.14)(6)(9)+2(3.14)(6^2)

6.28(54)+6.28(36)

339.12+226.08= 565.2

Therefore, it will take about 565.2in^2 of wrapping paper to cover the whole present.

8 0

3 years ago

30 POINTS! Please answer and show work for both!

monitta

The recommended approach for such equations is to eliminate fractions first, by multiplying by the LCM of the denominators. You can simply simplify, then work them as a 2-step linear equation, doing your arithmetic with the fractions as they are.

a) (5x-1)/7 + (4x-3)/2 -(3-2x)/2 = 6 . . . . . given

... 2(5x -1) +7(4x -3) -7(3 -2x) = 84 . . . . . multiply by 14

... 10x -2 +28x -21 -21 +14x = 84 . . . . . . eliminate parentheses

... 52x -44 = 84 . . . . . . . . . . . . . . . . . . . . collect terms

... 52x = 128 . . . . . . . . . . . . . . . . . . . . . . . add 44

... x = 32/13 . . . . . . . . . . . . . . . . . . . . . . . . divide by 52 and simplify

b) (4x−3)/2 − (5−2x)/3 − (3x−4)/3 = 5 . . . given

... 2x -3/2 -5/3 +(2/3)x -x +4/3 = 5 . . . . . . .eliminate parentheses

... (5/3)x -11/6 = 5 . . . . . . . . . . . . . . . . . . . . simplify

... (5/3)x = 41/6 . . . . . . . . . . . . . . . . . . . . . . add 11/6

... x = (41/6)/(5/3) = 41/10 . . . . . . . . . . . . . .divide by the coefficient of x

_____

Using the first method, you're dealing with integers and you can do a lot of the math in your head. Using the second method, you're dealing with fractions and mixed numbers. A calculator can be helpful, especially if it handles arithmetic with fractions nicely, as many graphing calculators do.

6 0

3 years ago

What is the distance beween the points (3,6) and (4,2)

Reil [10]

The answer is sqrt17 or 4.123

3 0

3 years ago