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photoshop1234 [79]
3 years ago
9

How many solutions does 3x = 2x + 4 have

Mathematics
1 answer:
Sloan [31]3 years ago
6 0

Answer:

One Solution: x = 4

Step-by-step explanation:

Step 1:

3x = 2x + 4            Equation

Step 2:

3x - 2x = 4        Subtract 2x on both sides

Answer:

x = 4

Hope This Helps :)

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Find 4 - (-11).<br> The difference is ?
Nana76 [90]

Answer:

15

Step-by-step explanation:

Step 1: distribute the negative: 4+11

Step 2: add up the numbers: 15

Hope that helps

7 0
3 years ago
Vector B has x, y, and z components of 3, 7.2,
Temka [501]

Answer:

\approx 9.0\:\mathrm{units}

Step-by-step explanation:

The magnitude of 3D vector \vec{v} can be given by the following:

| \overline{v}| =\sqrt{{v_x}^2+{v_y}^2+{v_z}^2}

Plugging in given values, we have:

| \overline{v}|=\sqrt{3^2+7.2^2+4.5^2},\\| \overline{v}| \approx \fbox{$9.0\:\mathrm{units}$}.

6 0
3 years ago
What is the equation of the line that is perpendicular to the given line and passes through the point (5,3)
Pani-rosa [81]

perpendicular lines have a slope that is a negative reciprocal


A) 4x-5y=5

subtract 4x

solve for y

-5y = -4x+5

divide by -5

y = 4/5 x+5   slope is 4/5  perpendicular slope is -5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = -5/4 (x-5)

B)  5x+4y = 37

subtract 5x

4y =-5x +37

divide by 4

y =-5/4 x +37/4  slope is -5/4 perpendicular slope is 4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = 4/5 (x-5)

C)4x+5y=5

subtract 4x

5y = -4x +5

divide by 5

y = -4/5 x +1

y =-4/5 x +1  slope is -4/5 perpendicular slope is 5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = 5/4 (x-5)

D)5x-4y=8

subtract 5x

-4y = -5x+8

divide by -4

y = 5/4 x-2

y =5/4 x +-2 slope is 5/4 perpendicular slope is -4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = -4/5 (x-5)



6 0
3 years ago
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
nirvana33 [79]

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

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

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

  • We know that the diagonals are perpendicular bisectors of each other.

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

3 0
3 years ago
Karen walked 3.5 miles to her friends house. She wants to express this distance in feet. Write a proportion to find the number o
nata0808 [166]

Step-by-step explanation:

1 mile=5280 feet

2 miles=10560 feet

3 miles=15840 feet

3.5 miles=18480 feet

Answer:

<u>1 mile= 5280 feet</u>

3.5 miles=    x

4 0
3 years ago
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