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MAXImum [283]
2 years ago
10

The force vector A has components A sub x =5N, A sub Y = -3N. The force vector B has components B sub x = 5N, B sub y = 4N. What

are the components of the resultant force vector C = A + B?
Question 5 options:

C sub x = 0N, C sub y = -7N

C sub x = 2N, C sub y = 9N

C sub x = 10N, C sub y = 7N

C sub x = 10N, C sub y = 1N
Mathematics
1 answer:
Wittaler [7]2 years ago
4 0

Answer:

C sub x = 10N, C sub y = 1N

Step-by-step explanation:

C=A+B\\\\(C_x,C_y)=(A_x,A_y)+(B_x,B_y)\\\\(C_x,C_y)=(A_x+B_x,A_y+B_y)=(5N+5N,-3N+4N)\\\\(C_x,C_y)=(10N,1N)

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Please Help!<br>i really need help with this!<br><br>​
11Alexandr11 [23.1K]

Answer:

11,5 cm or 23 squares

Step-by-step explanation:

draw a cartesian graph and put on the coordinates given then use a ruler

7 0
3 years ago
Nina owns a condominium where she paid $2,340 in maintenance fees this year. If her property taxes are 18% off this amount, how
Rufina [12.5K]
2340x0.18= 421.20

She paid $421.20 in property taxes
7 0
2 years ago
Which do the following equations represent? -4x-5y=-4 and 10x-8y=-1
kicyunya [14]
Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.

Find slopes of these lines.

-4x-5y=-4
-4x+4 =5y
Divide by 5

Y= -4x/5 +4/5

Second line: 10x-8y=-1

10x+1=8y
Divide by 8

10x/8 +1/8 =y

Y= 5x/4 +1/8

So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.
5 0
3 years ago
The staff commute to work in different ways 2/5 drive, 4/15 catch the bus and 1/3 cycle
gavmur [86]

Answer:

2/5, 1/3 4/15

Step-by-step explanation:

3x2/5=6/15

5x1/3=5/15

4/15

4 0
3 years ago
Read 2 more answers
What is true of the graph of two lines 3y-8=-5x and 6y=-10x+16
Murljashka [212]

Answer:

Both lines are equal (they are the same)

<em></em>

Step-by-step explanation:

Given

3y - 8 = -5x

6y = -10x + 16

Required

What is true about graph of both lines

<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check  if both lines are either parallel or perpendicular</em>

<em />

To do this,

The first thing to do is to calculate the slope of both lines

3y - 8 = -5x

Add 8 to both sides

3y - 8 + 8 = -5x + 8

3y = -5x + 8

Divide both sided by 3

\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

------------------------------------------------------------------------------------------------------

6y = -10x + 16

Divide both sides by 6

\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}

y = -\frac{10x}{6} + \frac{16}{6}

Simplify fractions to lowest term

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

-------------------------------------------------------------------------------------------------------

By comparing the slope, x intercept and y intercept of both lines;

It'll be observed that they have the same slope, x intercept and y intercept

<em>This implies that both lines are equal; in other words, they are the same.</em>

6 0
2 years ago
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