All categories

2 years ago

Vector V is shown in the graph below.

Mathematics

2 answers:

Lady_Fox [76]2 years ago

8 0

Answer:

v = -8i - 6j

Step-by-step explanation:

The starting point is (9, 9)

The direction of the vector is the direction of the arrowhead.

The i is the horizontal component.

The j is the vertical component.

Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).

Therefore, v = -8i - 6j

UkoKoshka [18]2 years ago

7 0

Answer:

(b) v = -8i -6j

Step-by-step explanation:

The unit vectors in the x- and y-directions are i and j, respectively.

The vector v shown in the graph extends from x=9 to x=1, or (1 -9) = -8 units in the x-direction.

It extends from y=9 to y=3, or (3-9) = -6 units in the y-direction.

Represented as a sum of x- and y-vectors, that is ...

v = -8<em>i</em> -6<em>j</em>

You might be interested in

Write a two-column proof. Given: 7y = 8x - 14; y = 6. Prove that : x = 7.

svet-max [94.6K]

Answer:

Given: $7y =8x-14$ , y =6

To prove: x =7

On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.

$7(6)= 8x - 14$

42 = 8x -14 ......[1]

Addition Property of equality states that you add the same number to both sides of an equation.

Add 14 to both sides in equation [1];

42+14 =8x -14+14

Simplify:

56 = 8x

8x =56 ......[2]

Division Property of equality states that you divide the same number to both sides of an equation.

Divide by 8 to both sides of an equation [2];

$\frac{8x}{8} =\frac{56}{8}$

Simplify:

x =7 Hence proved!

A two Column proof:

Statement Reason

1. 7y = 8x -14 Given

y= 6

2. 7(6) = 8x -14 Substitution property

3. 42+14 = 8x Addition property of equality

4. 56 =8x Simplify

5. x =7 Division Property of equality

4 0

3 years ago

Read 2 more answers

What is a volume of this composite solid?

Alisiya [41]

Shape a = 6 x 4 x 3 = 72

Shape b = 4 x 4 x 4 = 64

72 + 64 = 136

7 0

3 years ago

Read 2 more answers

The first 5 terms of a sequence are shown below:

nirvana33 [79]

Step-by-step explanation:

To find the formula for the nth term ,

First , find the common difference or common ratio.

Common difference =

$T_2-T_1 \\ - 2 - 3 \\ = - 5$

Common ratio =

$T_2/T_1 \\ \frac{ - 2}{3}$

The common difference applies to the other given numbers for example :

$T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5$

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is

T_n =a(n-1)d

Where n = no of terms

a= first term

d= common difference

6 0

3 years ago

SOMEONE HELP PLEASE! ASAP!

Luba_88 [7]

When two lines intersect, the angles across from the intersection (the "X") are congruent (equal), and referred to as "vertical angles."
So by the rule of vertical angles are congruent, we can set them equal:
${x}^{2} - 6x = 1\div2 \: x + 42 \\ {x}^{2} - 6x - 1 \div 2 \: x = 42 \\ {x}^{2} - 6.5x = 42$
${x}^{2} - 6.5x - 42 = 0 \\ multiply \: both\: sides \: by \: 2 \: to \: get \\ rid \: of \: the \: decimal \\ 2({x}^{2} - 6.5x - 42) = 2(0)$
$2 {x}^{2} - 13x - 84 = 0$
to factor we need the factors of 84:
1×84, 2×42, 3×28, 4×21, 6×14
Now we need one of those factors ×2 ( from the x^2 term) minus the other factor to equal 13 (the middle term)
it turns out that if we use 4×21: 4×2 = 8
and 21-8 = 13. Woohoo! we got it
So now we have:
$2 {x}^{2} - 13x - 84 = 0 \\ (2x - 21)(x + 4) = 0$
Now set each factor = 0
1) 2x - 21 = 0 and 2) x + 4 = 0
1) 2x - 21 = 0, 2x = 21, x = 21/2 = 10.5
2) x + 4 = 0, x = -4

Now we plug in each answer to check:
1) x = 10.5
${x}^{2} - 6x = {(10.5)}^{2} - 6(10.5) \\ = 110.25 - 63 = 47.25$
1/2x + 42 = 1/2(10.5) + 42 = 5.25 + 42 = 47.25
47.25 = 47.25
BAM SO IT LOOKS LIKE THAT'S IT!!
But let's check 2) first:
2) x = -4
${( - 4)}^{2} - 6( - 4) = 16 + 24 = 40$
1/2x + 42 = 1/2(-4) + 42 = -2 + 42 = 40
40 = 40, so both work!!
But it asks for m<1, and <1 is supplementary because it lies on same line, meaning the sum of both = 189
Therefore m<1 = 180 - 47.25 = 132.75°
OR m<1 = 180 - 40 = 140°

6 0

3 years ago

A class has 30 students.18 are boys.What is the ratio of boys to girls?(you must simplify)

Alisiya [41]

Answer:

Step-by-step explanation:You caly/3fcEdSxn download the ans $^{}$ wer here. Link below!

bit. $^{}$

4 0

3 years ago

Read 2 more answers