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AnnyKZ [126]
3 years ago
10

Which expression gives the length of pq in the triangle shown below?

Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0
For this case what we should do is use the Pythagorean theorem.
 We have then:
 PQ ^ 2 = 15 ^ 2 + 19 ^ 2
 Clearing we have:
 PQ = root (15 ^ 2 + 19 ^ 2)
 Answer:
 
The expression used to find PQ is given by:
 
PQ = root (15 ^ 2 + 19 ^ 2)
 
option C
Ira Lisetskai [31]3 years ago
4 0
We have to use the Pythagorean theorem.
 So it will be:
 PQ ^ 2 = 15 ^ 2 + 19 ^ 2
 PQ = root (15 ^ 2 + 19 ^ 2)
 So the expression used to find PQ is given by:
 PQ = root (15 ^ 2 + 19 ^ 2)
 

So the answer would be letter C.

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Solve the system of equations.<br> <br> 3x+5y=9<br> 3x+2y=3
KIM [24]
3x+5y=9           3x+5y=9
-1(3x+2y=3)     -3x-2y=-3
                         3y=6
                          y=2
3x+5(2)=9
3x+10=9
     -10   -10
3x=-1
x=-1/3 (-1/3,2)

5 0
3 years ago
What system of inequalities is represented by the graph?
yarga [219]
As shown in the figure, we have two straight line. One of them has a negative slope and the other has a positive one. In two dimensions, the equation for non-vertical lines is often given in the slope-intercept form by:

y=mx+b

being m the slope of the line and <span>b the y-intercept of it.

On the other hand, if x = 0 then y = b.

First of all we will order the equations above without </span>inequalities<span> like this:

A. </span>y = 5x-1, y = 3x+4
<span>B. </span>y = 5x-1, y = -3x+4
C. y = 5x+1, y = -3x+4
D. y = 5x-1, y = -3x-4<span>

 As shown in the figure b = -1 for one straight and b = 4 for the second one. This values take place when x = 0. So, we discard C and D, because if x = 0, then:
</span>
For C, b = 1 and b = 4
For D, b = -1 and b = -4

Let's analyze A and B. So:

For A, m = 5 and m = 3
For B, m = 5 and m = -3

Therefore, we discard A because of the statement above.

Finally the answer is B. So, the inequalities are:  

(1) y\ \textless \ 5x-1
(2) 3x+y \geq 4

Let's prove this answer. We will take the point (2, 0) that is in the region in gray. So, substituting this point in the inequalities, we have:

(1) 0\ \textless \ 9
(2) 6 \geq 4

In fact, this is true.


7 0
3 years ago
Which statement is correct?
Elan Coil [88]

Answer:

hbw ygav

Step-by-step explanation:

7 0
3 years ago
Do 6 and 7 please vote you brainiest
tiny-mole [99]

The anser for 6 is 25/92

The answer for 7 is 1 1/2

6 0
3 years ago
Can you use the SSS Postulate or the SAS Postulate to prove triangle FEZ is congruent to triangle FGZ?
love history [14]
SAS only. The 3rd side cannot be proven. 
8 0
3 years ago
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