Answer:
13) (-2,-3) 14) (7,-4) 15) (-8,7)
Step-by-step explanation:
13) y=8x+13
-4x-5y=23
use substitution
-4x-5(8x+13)=23
distribute -5 in the parenthesis
-4x-40x-65=23
-44x-65=23
add 65 on both sides
-44x=88
divide both sides by -44
x=-2
for y...
y=8(-2)+13
y=-16+13
y=-3
answer is (-2,-3)
14) -3x-y=-17
y=-4x+24
use substitution
-3x-1(-4x+24)=-17
distribute the -2 in the parenthesis
-3x+4x-24=-17
x-24=-17
add 24 on both sides
x=7
for y...
y=-4(7)+24
y=-28+24
y=-4
answer is (7,-4)
15)5x+4y=-12
y=-2x-9
use substitution
5x+4(-2x-9)=-12
distribute 4 in the parenthesis
5x-8x-36=-12
-3x-36=-12
add 36 on both sides
-3x=24
divide both sides by -3
x=-8
for y...
y=-2(-8)-9
y=16-9
y=7
answer is (-8,7)
Answer:
- ΔHJK shows G as the orthocenter
- Show A.F is the median of BC
- 18
Step-by-step explanation:
1) This is a vocabulary question. The <em>orthocenter</em> is the point where the altitudes intersect. Of course, each altitude is a segment from a vertex that is perpendicular to the opposite side of the triangle.
Perhaps it could be useful to remember the prefix ortho- means perpendicular, as in <em>orthogonal</em>. Each altitude is perpendicular to one of the sides of the triangle.
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2) To do this proof, you would find midpoints of segments AB and AC, write the equations of the lines through them from the opposite vertex, then solve those equations to find point G. You would then write the equation for line AG and find its intersection point with segment BC (point F). The last step is to show that point F is the midpoint of BC. (It might be easier to show that midpoint F is on line AG.)
The closest answer choice, though poorly worded, is the last one: show A.F is the median of BC.
(Strictly speaking, a line segment (A.F) is not a median of a line segment (BC), but can be a median of a <em>triangle</em>, or a <em>bisector</em> of a line segment.)
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3) The centroid divides the median into parts with the ratio 2:1. That is, the shorter part differs from the longer one by 2-1 = 1 ratio unit. If those parts differ in length by 6 measurement units, then one ratio unit must be 6 measurement units. The total length of the median is 2+1 = 3 ratio units, or 3×6 measurement units = 18 measurement units.
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<em>Comment on A.F</em>
Brainly thinks the name of the segment starting with A and ending with F is a "bad word" so won't let it be posted.
You can find the wide by using phytagoras dalil,
Wide =
The answer is 12 feet
Answer:
I believe it is 562 because if you subtract the cell phone bill balance from the cash balance you get $749-$187=$562
Step-by-step explanation:
im not sure this is 100% correct
Answer:
So she can get the one 11in x 15in and then 10 3in x 5in
Step-by-step explanation:
The most she can spend is $11. and 11in x 14in photo would be to expensive to get 2 of them... sooo that one photo takes of 7
11-7= 4
A 3in x 5in photo cost just $.40 center (don't forget the decimal!)
So then you see how many times .40 will go into 4
4/.4 = 10
or .4z= 4; z= 10
Hope this helps ya! Brainliest answer by chance?
