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pshichka [43]
3 years ago
11

I need help with all of them and if you can't help with all of them just answer one of them please. Look at the picture

Mathematics
1 answer:
likoan [24]3 years ago
5 0
All you have to do is substitute the y value from the 1st equation into the second equation and solve...

a) y= 2-x
5x + 4y = 5

Substitute (2-x) into the second equation anywhere there is a y...

5x + 4y = 5
5x + 4(2-x) = 5

Now solve

5x + 8 - 4x = 5
5x - 4x + 8 = 5
x + 8 = 5
x = -3

Now that you have a solution for x, substitute -3 into either of the original equations anywhere there is an x then solve for y...

y = 2 - x
y = 2 - (-3)
y = 2+3 = 5

You solved for x and got -3 and solved for y and got 5, so your solution set is
(-3, 5).

Now check it by substituting both numbers into one of the original equations and you should have a true statement if it is correct...

y = 2 - x
5 = 2 - (-3)
5 = 2+3
5 = 5

True statement... it checks!


note* during the check, if the equation would have worked out to something like 2 = 5, then that is a false statement therefore the solution set would be wrong and you'd have to go back and find the mistake.
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Multiply.<br> (2x2 – 3x)(3x2 + 2x - 1)
exis [7]

Answer:

-6x^{2} –7x + 20

Step-by-step explanation:

(2x2 – 3x)(3x2 + 2x – 1)

(4 – 3x)(2x + 5)

(4*2x) + (4*5) + (–3x*2x) + (–3x*5)

8x + 20 -6x^{2} –15x

-6x^{2} –7x + 20

8 0
3 years ago
What is 341 divided by 674 plus 846 =
Citrus2011 [14]

Answer:

341÷674+846 is exaclly 846.505934718

4 0
2 years ago
Read 2 more answers
(25 points!!!!!) solve for &lt;2
stiv31 [10]

Step-by-step explanation:

135 = <2 + 86 [exterior angle of triangle is equal to the sum of its oppsite two interior angles]

or, <2 = 135 - 86

so, <2 = 49°

8 0
2 years ago
What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio
djverab [1.8K]

Answer:

(\frac{37}{11},\frac{77}{11}  )

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )

where (x1,y1),(x2,y2) are the inital and final points.

(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)

also m:n=6:5 ,

by substituting all the values we get,

(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )

(\frac{37}{11},\frac{77}{11}  )

5 0
3 years ago
Find the perimeter of a quadrilateral with vertices at R (-2, 1), S (-5, 5), T (2, 5), U (5, 1). Round your answer to the neares
Nezavi [6.7K]
Check the picture below.

now, you can pretty much count the units off the grid for the segments ST and RU, so each is 7 units long, and are parallel, meaning that the other two segments are also parallel, and therefore the same length each.

so we can just find the length for hmmmm say SR, since SR = TU, TU is the same length,

\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;S(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad &#10;R(\stackrel{x_2}{-5}~,~\stackrel{y_2}{5})\qquad \qquad &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;SR=\sqrt{[-5-(-2)]^2+[5-1]^2}\implies SR=\sqrt{(-5+2)^2+(5-1)^2}&#10;\\\\\\&#10;SR=\sqrt{(-3)^2+4^2}\implies SR=\sqrt{25}\implies SR=5

sum all segments up, and that's perimeter.

6 0
3 years ago
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