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1 year ago

Please help me soon as possible !!!!!!!!!!

Mathematics

1 answer:

Oduvanchick [21]1 year ago

8 0

17) y-5=-3(x+2)
y=-3x-1
-3x-1
-3x=1
x=-1/3

18)y+1=4/5(x-5)
y=4x/5-5
4x/5-5=0
4x x5/5-5x5=0x5
4x-5x5=0x5
4x-25=0
4x=25
x=25/4

19)0=x-4
x-4=0
x=4

20)y-3=-1/2(x+4)
y=-x/2+1
-x/2+1=0
x=2

21)y-4=1/3(x+3)
y=x/3+5
x/3+5=0
x/3=-5
x=-5x3
x= -15

22) y+5=3(x+3)
y=3x+4
3x+4=0
3x=-4
x=-4/3

23) y-3=-2(x+2)
y=-2x-1
-2x-1=0
-2x=1
x=-1/2

24)y-1=5/3(x-3)
y=5x/3-4
5x/3-4=0
x=4x3/5
x=12/5

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2 years ago

Read 2 more answers

The product of two numbers is 192. what is the minimum value of the sum of the first value plus twice the second value

VARVARA [1.3K]

Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1

- the sum of the first plus twice the second is a minimum: x + 2y

From the first equation, y = 192 / x.
Substitute that into the second equation:

x + 2y = x + 2(192/x ) = x + 384/x

f(x) is minimum when f'(x) = 0 and f"(x) > 0

f(x)= x + 384/x

f(x) = 1-384/x^2

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3 years ago

Pls help me .question no 14

Alex_Xolod [135]

Question 14, Part (i)

Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,

A+B+C+D = 360

A+90+C+90 = 360

A+C+180 = 360

A+C = 360-180

A+C = 180

Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.

==================================================

Question 14, Part (ii)

Let

x = measure of angle 1

y = measure of angle 2

z = measure of angle 3

Back in part (i) above, we showed that y + z = 180

Note that angles 1 and 2 are adjacent to form a straight line, so we can say

x+y = 180

-------

We have the two equations x+y = 180 and y+z = 180 to form this system of equations

$\begin{cases}x+y = 180\\y+z = 180\end{cases}$

Which is really the same as this system

$\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}$

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.

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3 years ago