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3 years ago

If vector c = vector b + vector a, under what circumstance does c = b+a ?

Mathematics

1 answer:

Vitek1552 [10]3 years ago

6 0

The sum of the magnitudes will be the magnitude of the sum when the vectors have the same direction.

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During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist

ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484 miles

Let The distance drove by Lana = L miles

The distance drove by Tony = T

The distance cover by Mark = M

So , L + T + M = 484 miles

Now, The distance of Tony = $\frac{1}{3}$ of Lana distance

Or, T = $\frac{1}{3}$ × L

And The distance of Mark = 15 + The distance of Lana

Or, M = 15 + L

Now.

L + $\frac{1}{3}$ × L + 15 + L = 484

Or, 2 L + $\frac{L}{3}$ = 484 - 15

Or, 2 L + $\frac{L}{3}$ = 469

Or, $\frac{7 L}{3}$ = 469

Or, 7 L = 469 × 3

∴ L = $\frac{1407}{7}$

I.e L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony = $\frac{1}{3}$ × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles Answer

8 0

3 years ago

Need hello with my school

IRINA_888 [86]

Answer:

G oo g l ee I use it there's a scan

8 0

3 years ago

Point Q is the center of dilation. Lines segment S U is dilated to form line segment S prime U prime. The length of Q S is 3 .2

tia_tia [17]

Answer:

Option C.

Step-by-step explanation:

It is given that the dilation rule is $D_{Q,2.5}$ . It means the center of dilatation is point Q and scale factor is 2.5.

Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

$\text{Scale factor}=\dfrac{QU'}{QU}$

It is given that QU=4 and scale factor = 2.5.

$2.5=\dfrac{QU'}{4}$

Multiply both sides by 4.

$2.5\times 4=QU'$

$10=QU'$

We know that

$UU'=QU'-QU$

$UU'=10-4$

$UU'=6$

The distance between U' and U is 6 units.

Therefore, the correct option is C.

8 0

3 years ago

Read 2 more answers

If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.

kotegsom [21]

Answer: $(-9, 16]$

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

$-2 < x \le 3$

$5(-2) < 5x \le 5(3)$

$-10 < 5x \le 15$

$-10+1 < 5x+1 \le 15+1$

$-9 < 5x+1 \le 16$

This converts to the interval notation $(-9, 16]$

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0

3 years ago

Ngl i forgot whats 23+41

hoa [83]

64 is the answer and apparently it needs to be longer than 20 characters

3 0

3 years ago

Read 2 more answers