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adoni [48]
3 years ago
6

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

(-2, 3)

Step-by-step explanation:

The point B is:

B(x,y)

x

AB(A to B) is twice BC(B to C)

AB is 2 - x. BC is x - (-4) = x + 4.

So

2 - x = 2(x + 4)

2 - x = 2x + 8

3x = -6

x = -2

y

Same logic as above.

AB is -5 - y. BC is y - 7.

-5 - y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y = 3

The point is (-2, 3).

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What is translation with 5 units right and 1 up
Leviafan [203]
Since you did not provide the coordinates, I can't provide an exact answer. 
However, I can tell you this; from the initial x-coordinate, move right 5 units. from the initial-y coordinate, move up 1 unit and you will have your answer. 
4 0
3 years ago
What is the distance between Harry’s home and his office?
Svetach [21]

Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

Speed(s)=\frac{Distance(d)}{Time(t)}

Given:

Speed (<em>s</em>) = 30 miles/hour

Then the relation between distance and time is:

s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)

If Speed was 60 miles/hour the time taken is (t-\frac{1}{4}) hours.

Then the relation between distance and time is:

s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)

Use the value of <em>d</em> = 30t in (ii)

<em />d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour<em />

Determine the distance as follows:

d=30t\\=30\times\frac{1}{2} \\=15\ miles

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0
3 years ago
2x+5=15<br><br> Solve for x<br> a.5<br> b.2<br> c.7<br> d.10
Black_prince [1.1K]

Answer:

A.5

Step-by-step explanation:

3 0
3 years ago
A car travels 58.8 kilometers in 2.6 hours. What is the car's average speed?
NISA [10]

Answer:

22.6 km/hr

Step-by-step explanation:

58.8/2.6=22.6

7 0
2 years ago
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What do you need help on? All I see is a y axis and x axis grid.

4 0
2 years ago
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