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allsm [11]
3 years ago
10

15. The vertices of A DEF are D(0,0), E(0,7), and F(6,3).

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Orthocenter of a triangle with one vertex at the origin D(0,0), E(0,7), F(6,3)

The orthocenter is the meet of the altitudes.  

DE is the line x=0.  That's the y axis.  The altitude is the perpendicular through F(6,3), so is the horizontal line y=3.  

DF is the line

6y=3x

y=(1/2)x

Perpendicular through E(0,7) is

y - 7 = (-2)(x - 0)

y = -2x + 7

That's the other altitude.  Intersecting with y=3

3 = -2x + 7

-4 = -2x

x = 2

y = 3

Answer: orthocenter is (2,3)

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Charlie's Computer Company charges $0.65 per pound to ship computers. Part A: Write an equation to determine the total cost, c,
Harlamova29_29 [7]

Step-by-step explanation:

One pound = $0.65

Total cost = c

Number of pounds to ship = p

Part a:

c = 0.65p

When p = 2

c= 0.65(2) 

c = $1.30

Part b:

One pound = $0.65 - $0.05 = $0.60

c= 0.6p

Answer: (a) $1.30 (b) c= 0.6p

6 0
3 years ago
What is the constant of proportionality in this<br> equation?<br> y= 20x
il63 [147K]

Answer:

k=20

Step-by-step explanation:

The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.

8 0
2 years ago
Y=5/2x-19 and 5x+2y=-8 a perpendicular,parallel or intersecting lines?
dimaraw [331]

Answer:

There intersecting lines

Step-by-step explanation:

5x+2y=-8

-5x            -5x

2y=-8 -5x

/2   /2  /2

y=-4 -5/2x also

y=-5/2x - 4

&

y=5/2x - 19

neither parallel (slope is not the same)

or perpendicular (slope is not reciprocal or opposite signed)

hope i helped

6 0
3 years ago
A garden is to be made in the form of an isosceles triangle. The equal side must be 4ft. Less than twice the base. The perimeter
Natali5045456 [20]
P = 77.
side (S1, S2) = 2(B) - 4.
P = S1 + S2 + B.
77 = (2B - 4) + (2B - 4) + B.
77 = 2B - 4 +2B - 4 + B.
77 = 5B - 8.
77 + 8 = 5B.
85 = 5B
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3 0
3 years ago
Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the value of g. Please help me
iogann1982 [59]

Answer:

37 degree

Step-by-step explanation:

AB = 180 it is a straight line

ACD = 90 degree

DE+ DCB are complimentary angles they add up to 90 they dont need to be next to each other.

DE = 53 deg

DCB = 90-53= 37 degree

g = 37 and F is its vertical angle as they share the same corner point and lay opposite each other and each have same angle 37 degree.

8 0
3 years ago
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