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Inga [223]
2 years ago
13

What are the coordinates of the point on the directed line segment from (-4,1) to (1,6) that partitions the segment into a ratio

of 4 to 1?
Mathematics
1 answer:
Aleksandr [31]2 years ago
3 0

Answer:

a segment is partitioned at a ratio of 1:3, then the point is one-fourth of the distance from (-4,-1) to (2,7).

To compute the x-coordinate of that point, you will need to compute one-fourth of the x-distance between 2 and -4 then add it to -4: (2--4)/4 = 1.5; 1.5 + -4 = -2.5.

To compute the y-coordinate of that point, you will need to compute one-fourth of the y-distance between 7 and -1 then add it to -1: (7--1)/4 = 2; 2 + -1 = 1.

The point is (-2.5,1)

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Simplify each expression
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4 0
3 years ago
Help me you dont have to do all of them but if you do pls i will give you the brainiest
Triss [41]
This is simple you just need to think what minus or plus the variable in each equation (letter that represents an unknown number) equals what the equations do

No. 19 X= -8
No.20 R=10
No.21 X=0
No.22 B=7
No.23 V=-4
No.24 N=10
No.25 X=7
No.26 K=4
No.27 N=-4
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3 0
3 years ago
Jorge’s current hourly wage for working at Denti smiles is $12.00. Jorge Was told that at the beginning of the next month, his n
Gnom [1K]
It’s C $12.75. You have to find 6% and add that on to $12.00
7 0
3 years ago
Write an equation of a line in point slope form that has a slope of -3 and passes through the point (3, -4).
Nesterboy [21]

1) Point-slope form

(y-y1)=m(x-x1)

m= - 3,

point (3,-4), so x1 = 3, y1 = - 4.

(y+4)= -3(x- 3)

2)Point-slope form

(y-y1)=m(x-x1)

m= - 3/4,

point (4,5), so x1 = 4, y1 = 5.

(y-5)= - 3/4(x-4)

6 0
3 years ago
A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
Mariulka [41]

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

Area =  \frac{1}{2} ap

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

Area =  \frac{1}{2}  \times 14 \times 96 {cm}^{2}

Area =672 {cm}^{2}

Therefore the approximate area of the hexagon is 672cm²

8 0
3 years ago
Read 2 more answers
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