6x - 5y= 0 and x - 5y= -25

Answers

Answer 1
Answer: This is a simultaneous question that can be solved with elimination.

6x - 5y = 0 ——(1)
x - 5y = -25 ——(2)

(1) - (2):
6x - 5y - (x - 5y) = 0 - (-25)
6x - 5y - x + 5y = 0 + 25
5x = 25
x = 5

Sub x = 5 into (2):
5 - 5y = -25
-5y = -30
y = 6

Hope this helps

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What is the value of 36x-8y2 when x=3 and y=-6

Answers

Assuming that the 2 after the y means squared...

36x3=108
-6x-6=36
8x36=288
108-288=-180

19x – y – 2z + x + 5y + 2z

Answers

19x - y - 2z + x + 5y + 2z \n \n (19x + x) + (-y+5y) + (-2z + 2z) \ / \ gather \ like \ terms \n \n 20x + 4y \ / \ simplify \n \n Answer: \fbox {20x + 4y}

A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form? A) 2x + y = 7 B) y = -2x + 7 C) y - 3 = -2(x - 2) Eliminate D) y = - 1 2 x + 5

Answers

In point slope form, y - y1 = m(x - x1)

i.e. y - 3 = -2(x - 2)

What is the approximate volume of a cylinder with a diameter of 10 meters and a height of 5 meters

Answers

V=hpir^2
d/2=r
10/2=5=r
h=5
V=5pi5^2
V=5pi25
V=125pi
aprox pi=3.141592
V=392.699 m^3

What is the solution set of {x | x < -3} ∪ {x | x > 5}

Answers

The union of two sets is defined as all elements that are members of both sets.

The first set evaluuates to (...,...,...-7,-6,-5,-4) and the second eveluates to (6,7,8,9,...,...).

There are no elements that belong to both sets so the solution is the empty set. {∅}

Another way is to think about it in words: "What number(s) are less than -3 and also greater than 5?" There are no numbers that fit both of these.

Explain how can you use base ten blocks to find 2.16 divided by 3

Answers

For this question, let's move the decimal number 2 spaces to the right. 2.16-->216 You need 21 ten rods and 6 cubes. Why: I wouldn't do 2 hundred flats because 2 isn't divisible by 3. Put the ten rods into 3 equal group, then do the same with the cubes. You should end up with 7 in each group since 21 divided by 3 is 7. You should also end up with 2 cubes in each group. So in one group you have 72. Now move the decimal back to where it came from, 2 spaces to the left. Now you have 0.72.
The answer is 0.72 because you divide 2.18 by 3 OR You can set the amount of blocks (2.16) out 3 times and count all of them up and that's your answer
 
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