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svp [43]
3 years ago
13

Solve by elimination 4x+5y=15 6x-4y=11

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0
{x,y}={5/21} hope this helped!
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What is the quotient of 7^-1/7^-2?<br> 1/343<br> 1/7<br> 7<br> 49
vazorg [7]

Answer:

7^-1/7^-2

7^(-1+2)=7^1=7

8 0
2 years ago
Solve the proportional equation 3/r = 5/r+3
romanna [79]

Answer:

r=9/2 or 4.5

Step-by-step explanation:

First of all our goal is to get R by itself

by cross multiplying we get,

(r+3)*3=5r

by distributive property we get

3r+9=5r

substracting 3r from both sides we get

9=2r

by dividing by 2 in both sides we get

r=9/2 or 4.5

6 0
2 years ago
What statements describe the properties of a plane? Select three options.
Genrish500 [490]

Answer:

2)A plane has length and width.

3)A plane extends infinitely in all directions

5)A plane is a flat surface.

Step-by-step explanation:

We can think of a plane as a line in space with no height, only length and width.

Yes, a plane is a two-dimensional surface, hence it has length and width.

2)A plane has length and width (TRUE)

The plane surface extends infinitely far, therefore it extends infinitely in all direction.

3)A plane extends infinitely in all directions (TRUE)

5)A plane is a flat surface(TRUE)

The correct options are 2,3 and 5.

See attachment

7 0
2 years ago
Find the orthocenter of △ABC. A(2, 3), B(−4, −3), C(2, −3)
weqwewe [10]
ANSWER

\boxed { A. \: \: (2,-3) }

EXPLANATION.

The orthocenter is the point of intersection of any two altitudes of the triangle.

First, you need to determine the slope of each side of the triangle.

△ABC has vertices A(2, 3), B(−4, −3), C(2, −3).

slope \: of \: AB = \frac{3 - - 3}{2 - - 4} = \frac{6}{6} = 1

slope \: of \: AC = \frac{ 3 - - 3}{2 - 2} = \frac{6}{0}

This line has undefined slope, which means it is a vertical line.

slope \: of \: BC = \frac{ - 3 - - 3}{ 2 - - 4} = \frac{0}{6} = 0

The slope of this line is zero, meaning the line is a horizontal line.

This implies that side BC and side AC of the given triangle are perpendicular and will intersect at C since they are the altitudes of triangle ABC.

Hence the orthocentre is

(2,-3)

See diagram in attachment.

5 0
2 years ago
Find the slope of the line on the graph
vlada-n [284]

Answer:

-3

Step-by-step explanation:

The line passes through (1,0) and (0,3)

Slope = Change in y ÷ change in x

Slope = \frac{3 - 0}{0 -1} = -3

7 0
3 years ago
Read 2 more answers
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