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topjm [15]
3 years ago
6

A vector is used to express a car's change in position, or displacement, by tracking its motion over a large area defined by a c

oordinate grid. If the car begins at (−3,−5) and ends at (5,9), which of these expresses the car's displacement in vector form?
A
(14,8)

B
(10,12)

C
(8,14)

D
(2,4)
Mathematics
2 answers:
kirill [66]3 years ago
8 0

Answer:

C(8,14)

Step-by-step explanation:

initial point (-3,-5) and terminal point (5,9)

vector form=(change in x, change in y)

V=(Xf-Xi,Yf-Yi)

V=[5-(-3), 9-(-5)]

V=(8,14)

GaryK [48]3 years ago
6 0
The answer is C. Hope this helps
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S=a1/1-r
valentinak56 [21]

Answer:

4

Step-by-step explanation:

This is an <em>infinite geometric series</em>. This has a sum of  \frac{a}{1-r}

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

<u />

<u>First term:</u>

3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{1-1}\\=3(\frac{1}{4})^0\\=3(1)\\=3

<u>Second term:</u>

3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{2-1}\\=3(\frac{1}{4})^1\\=3(\frac{1}{4})\\=\frac{3}{4}

<em>Let's see the common ratio:  \frac{\frac{3}{4}}{3}\\=\frac{3}{4}*\frac{1}{3}\\=\frac{1}{4}</em>

<em />

<em>Thus we have a = 3 and r = 1/4</em><em>. Plugging into the formula of the infinite sum, we get:</em>

<em>s=\frac{a}{1-4}=\frac{3}{1-\frac{1}{4}}=\frac{3}{\frac{3}{4}}=3*\frac{4}{3}=4</em>

<em />

<em>So, </em><em>the answer is 4</em>

4 0
3 years ago
A triangle has a base of 10 centimeters and a height of 12 centimeters. A rectangle has a base of 10 centimeters and a height of
lina2011 [118]

Answer:  Triangle is 150 sq

Rectangle is 360 sq

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angl
Musya8 [376]

Answer:

angle Y = 90 degrees

Step-by-step explanation:

Since it is stated that angle x forms a straight line with the 50 and 50 degree angles, and that angle x is vertical to angle y, we can do 40+50+y=180 to find angle Y.

8 0
2 years ago
3n-5=-48-40n. Please help . I need the steps to solve and the answer
liraira [26]

3n-5=-48-40n

Move -40n to the other side. Sign changes from -40n to +40n.

3n+40n-5=-48= -48-40n+40n

3n+40n-5=-48

Move -5 to the other side.

3n+40n-5+5=-48+5

3n+40n=-43

43n=-43

Divide by 43 for both sides

43n/43=-43/43

n=-1

Answer: n=-1

5 0
3 years ago
Read 2 more answers
The perimeter of the hallway is 10 4/10 meters. What is the width, in meters, of the hallway?
Romashka [77]
So you have two of those--when you add those together, you get "seven and eight-tenths," or 7.8 The 2 shorter sides are what's left to still measure. If the total perimeter is 10.4, you get the shorter sides by: 10.4 - 7.8 = 2.6, but REMEMBER, the 2.6 is BOTH shorter sides added together, so each ONE of them is 1.3 SO... your hallway/rectangle is 3.9 meters on each long side, and 1.3 meters on each short side. i hope this helps you
4 0
3 years ago
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