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ELEN [110]
3 years ago
10

Point R divides Line EF in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and

Mathematics
1 answer:
larisa [96]3 years ago
4 0
The horizontal distance between E and F is:
dx = 11 - 4 = 7

The vertical distance between E and F is:
dy = abs (4 - 8) = 4

Since the ratio is 1:5, that means there are 6 equal parts of line EF. Dividing the distances by 6,
dx/6 = 1.1667
dy/6 = 0.6667

Since point R is located below and to the right of point E, we add dx/6 to the x coordinate and subtract dy/6 from the y coordinate of E:
R(4+1.1667, 8-0.6667) = R (5.17, 7.33)

The answer is the 3rd option.
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Which two values are located at the same point on a number like . 4/1 and 4 or 1/3 and 3 or 8:8 and 8 or 6/2 and 4
kramer
The answer is 4/1 and 4
4 0
3 years ago
Read 2 more answers
72.3 + (-39.1)
joja [24]

Answer:

72.3 - 39.1 = 4tens - 7ones + 2tenth

Step-by-step explanation:

Give the expression 72.3 + (-39.1)

opening the parenthesis:

= 72.3 + (-39.1)

= 72.3 - 39.1

Breaking the decimal values into place values

72.3 = 7tens + 2units + 3tenth

72.3 = 7(10)+2(1)+3(1/10)

72.3 =70+2+0.3

Similarly for 39.1

39.1 = 3tens + 9units + 1tenth

39.1 = 3(10)+9(1)+1(1/10)

39.1 =30+9+0.1

72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)

72.3 - 39.1 = 70+2+0.3 - 30-9-0.1

72.3 - 39.1  = 70-30+2-9+0.3-0.1

72.3 - 39.1 = 40 - 7 +0.2

72.3 - 39.1 = 4tens - 7ones + 2tenth

3 0
2 years ago
Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t
likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

P =25000 -- the principal amount

R = 4\% -- the interest rate

T=1 --- the duration

The amount to pay back in this duration is then calculated using:

A = P(1 + RT)

So, we have:

A = 25000(1 + 4\% \times 1)

A = 25000(1 + 4\% )

Express percentage as decimal

A = 25000(1 + 0.04)

A = 25000(1 .04)\\

Multiply

A = 26000

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

brainly.com/question/1115815

7 0
2 years ago
If your car goes 50 kilometers in 2 hours,what is its average speed
Georgia [21]

Answer:

25 kilometers per hour

Step-by-step explanation:

I just simply made it into a proportion of 50/2=x/1 and 50 divided by 2 is 25. hopefully that help you.

8 0
3 years ago
Vector B has x, y, and z components of 3, 7.2,
Temka [501]

Answer:

\approx 9.0\:\mathrm{units}

Step-by-step explanation:

The magnitude of 3D vector \vec{v} can be given by the following:

| \overline{v}| =\sqrt{{v_x}^2+{v_y}^2+{v_z}^2}

Plugging in given values, we have:

| \overline{v}|=\sqrt{3^2+7.2^2+4.5^2},\\| \overline{v}| \approx \fbox{$9.0\:\mathrm{units}$}.

6 0
2 years ago
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