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andriy [413]
3 years ago
14

HELP ASAP!! A truck starts from a warehouse, which is 8 miles south and 3 miles west of the town center. The truck travels 3 mil

es north, makes a right turn, and then travels for 4 miles. What is the truck’s final position? What single translation vector moves the truck from its starting position to its final position?

Mathematics
1 answer:
butalik [34]3 years ago
6 0

The answer, I think, is (1, -5);(4,3).

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PLS HELP ILL GIVE BRAINLIEST<br> What are the coordinates of the center of the ellipse?
yulyashka [42]

Answer:

Step-by-step explanation:

Standard equation of an ellipse,

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1

(h, k) is the center of the ellipse

Value of a = Distance of the center from the vertex

b = Distance of the center from the covertex

From the picture attached,

a = Distance of the center (h, k) from the vertex (2, -2) = 3 units

b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit

Center of the ellipse (h, k) = (-1, -2)

4 0
3 years ago
The trip from Carville to Planesborough takes 4 1/2 hours when traveling at a constant speed of 70 miles per hour. How long, in
gregori [183]

Answer:

5h 15 min

Step-by-step explanation:

70 mph * 4,5 = 315 miles

315 / 60 = 5,25h

5,25h = 5 1/4h = 5h 15 min

5 0
2 years ago
Read 2 more answers
How do you prove that a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects?
konstantin123 [22]
Check the picture drawn

Consider the line segment AB, 

let M be the midpoint of AB, so AM=MA

erect the perpendicular MT to AB from point M. Pick a point P on MT and join it to the points A and B

The triangles PMA and PMB are congruent from the Side Angle Side congruence postulate:

AM=MA, PM is common and m(PMA)=m(PMB)=90°, as MT is perpendicular to AB

so PA=PB

5 0
3 years ago
One mole of a chemical element contains approximately 6.02 × 1023 atoms. How many atoms are present in 4.6 × 104 moles of oxygen
Paraphin [41]

Answer:

B. 2.77 · 10^28

Step-by-step explanation:

The total number of atoms is ...

(6.02·10^23 atoms/mol)·(4.6·10^4 mol) = (6.02·4.6)·10^(23+4) atoms

≈ 27.7·10^27 atoms

≈ 2.77·10^28 atoms . . . . . . put in scientific notation form

_____

Scientific notation has one non-zero digit to the left of the decimal point and the exponent adjusted accordingly.

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Your calculator can help you figure this out. If necessary, put the display into scientific notation mode. (For numbers this size, it is usually not necessary.)

8 0
3 years ago
Read 2 more answers
Round 6.75 to the nearest hour
Ronch [10]

Answer:

6.75 hour is approximated to 7 hours

Step-by-step explanation:

Given

Time = 6.75 hours

Required

Round to the nearest hour

The time given is given in base 10 and the conversion can be done in two ways.

1. Convert directly by approximation.

Approximating 6.75 to the nearest whole number gives 7.

Hence, 6.75 hours = 7 hours

2. Convert to time equivalent then approximate time

This is done as follows

6.75 hours = 6 hours + 0.75 hour

Convert decimal to fraction

6.75 hours = 6 hours + \frac{75}{100} hour

Simplify to lowest term

6.75 hours = 6 hours + \frac{3}{4} hour

Convert hour to minute

There are 60 minutes in an hour

6.75 hours = 6 hours + \frac{3}{4} * 60 minutes

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The rule of time approximation is that; if the minutes is between 0 and 29, it'll be rounded to 0; else, it'll be rounded up to 1

Going by the rule, 45 minutes will be approximated to 1 hour.

This gives

6.75 hours \frac{=}{} 6 hours + 1 hour

6.75 hour \frac{=}{} 7 hours

Hence, 6.75 hour is approximated to 7 hours

6 0
3 years ago
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