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Olin [163]
2 years ago
6

Given that the line is x/3 + y/2 =1 i ) make y the subject ii ) gradient of line

Mathematics
1 answer:
miss Akunina [59]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(i)

\frac{x}{3} + \frac{y}{2} = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - \frac{2}{3} x + 2

(ii)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient ) and c the y- intercept )

y = - \frac{2}{3} x + 2 ← is in slope- intercept form ( that is part (i)

with gradient m = - \frac{2}{3}

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The surface areas of the two solids shown above are equal.<br> O A. True<br> O B. False
nikdorinn [45]

Answer:

False

Step-by-step explanation:

If we were to flip the solid on the left so its parallel to the solid on the right, we would be able to compare the two more easier.

We can see that the right solid has dimensions of:

L = 1 cm

W = 3 cm

H = 5 cm

The left solid has dimensions of:

L = 1

W = 2

H = 7

If we were to add these all up, they would not equal.

R: 1 + 3 + 5 = 9

L: 1 + 2 + 7 = 10

3 0
3 years ago
Read 2 more answers
Help me answer question 1 . ​
kolezko [41]
C. is the right answer I think so at least
7 0
3 years ago
How many x-intercepts does the graph of y = 2x^2 – 8x + 5 have?
nydimaria [60]
A graph of the equation shows the appropriate choice to be
  C. 2

_____
If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
  d = b²-4ac
For your equation, this evaluates to
  d = (-8)²-4(2)(5) = 64 -40 = 24
When the discriminant is positive, the function has two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).

8 0
3 years ago
Read 2 more answers
*25 points!*
mariarad [96]
Pick 2 pairs of equations t<span>hen use addition and subtraction to eliminate </span>the same variable<span> from both pairs of equations then it is left with 2 variables 
</span>Pick two pairs
<span><span>4x - 3y + z = - 10</span><span>2x + y + 3z = 0
</span></span>eliminate the same variable from each system
<span><span>4x - 3y + z = - 10</span> 
<span>2x + y + 3z = 0</span> 

<span>4x - 3y + z = - 10</span> 
<span>-4x - 2y - 6z = 0</span> 

<span>-5y - 5z = - 10</span> 

<span>2x + y + 3z = 0</span> 
<span>- x + 2y - 5z = 17</span> 

<span>2x + y + 3z = 0</span> 
<span>-2x + 4y - 10z = 34</span> 

<span>5y - 7z = 34
</span></span>Solve the system of the two new equations:
<span><span>-5y - 5z = - 10</span> 
<span>5y - 7z = 34</span> 

<span>-12z = 24</span> 
which is , <span>z = - 2</span> 

<span>-5y - 5(- 2) = - 10</span> 
<span>-5y = - 20</span> 
wich is , <span>y = 4
</span></span>substitute into one of the original equations
<span>- x + 2y - 5z = 17</span> 
<span>- x + 2(4) - 5(- 2) = 17</span> 
<span>- x + 18 = 17</span> 
<span>- x = - 1</span> 
<span>x = 1</span> 
<span>which is , </span><span>(x, y, z) = (1, 4, - 2)</span><span> 
</span>Does 2(1) + 4 + 3(- 2) = 0<span> ? Yes</span><span>

</span>
7 0
3 years ago
A sofa regularly sells for 680. The sale price is 639.20. Find the percent decrease of the sale price from the regular price.
elena55 [62]
There is a 6% decrease as 639.20 divided 680 is 0.94. Meaning 6% decrease.
6 0
3 years ago
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