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1 year ago

5. 6.9Write the decimal as a a fraction or mixed number?

Mathematics

1 answer:

salantis [7]1 year ago

5 0

6.9 as a fraction or mixed number

6.9 = 6 9/10

This is also the same as 69/10

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Find the coordinates of P so that P partitions the segment AB in the ratio 6:2 if A(−4,12) and B(9,−4).

Jobisdone [24]

<u>ANSWER</u>

B. (5.75, 0)

<u>EXPLANATION</u>

If the point P(x,y) partitioned

$A(x_1,y_1)$

and

$B(x_2,y_2)$

in the ratio m:n, then

$x = \frac{mx_2+nx_1}{m + n}$

$y=\frac{my_2+ny_1}{m + n}$

If the coordinates are A(−4,12) and B(9,−4), then:

$x = \frac{6 \times 9+2 \times - 4}{6 + 2}$

$x = \frac{54 - 8}{8}$

$x = \frac{46}{8}$

$x = 5.75$

$y= \frac{6 \times - 4+2 \times 12}{6 + 2}$

$y = \frac{24 - 24}{8}$

$y = \frac{0}{24} = 0$

The correct choice is

$B. (5.75, 0)$

3 0

3 years ago

The vector v has initial point P(1, 0) and terminal point Q that is on the y-axis and above the initial point. Find the coordina

zloy xaker [14]

Answer:

The terminal point is Q(0,4)

Step-by-step explanation:

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q lies on the y-axis, thus Q have coordinates of the form:

$Q(0,y)$

The magnitude of the vector is $\sqrt{65}$

Magnitude is given by:

$v = \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\\\sqrt{65}=\sqrt{(0-1)^2+(y-0)^2}\\\sqrt{65}=\sqrt{1+y^2}\\65 = 1+y^2\\y^2 = 64\\y = \pm 8$

But since the terminal point is above the initial point, thus,

$y > 0\\\Rightarrow y = 4$

Thus, the terminal point is Q(0,4)

4 0

3 years ago

Kate yards half a mile to the library. How many yards dose she walk

Savatey [412]

She walks 880 yards. Since half a mile is 880 yards.

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4 years ago

Read 2 more answers

I NEED HELP PLS ASAP!!

allsm [11]

A)60 B)65 c)115 d)55 e)120 f)60

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3 years ago

If water cost 1 cent for 2.5 gallons how much would you be paying for 27,360 gallons

makvit [3.9K]

If 1 cent cost 2.5 gallons ;
1 gallon equals 0.4 (1÷2.5)
therefore 27360 gallons is equal to 10,944,(27360×0.4).

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4 years ago