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alexgriva [62]
3 years ago
5

A QUESTION ABOUT MATHS:

Mathematics
1 answer:
posledela3 years ago
3 0

Answer:

a, 7C5 = 21 ways

b, 11C5 = 462 ways

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-10x-6y=0 -4x -6y=54 find the solution of this system of equations
ad-work [718]

You can see that the term -6y appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have

(-4x -6y) - (-10x-6y) = 54-0 \iff 6x = 54 \iff x = 9

Now that we know the value of x, we can substitute in any of the equation to deduce the value of y: if we use the first equation, for example, we have

-10x-6y=0 \iff -10\cdot 9 - 6y = 0 \iff -90-6y=0 \iff 6y = -90 \iff y = -15

7 0
3 years ago
Help me on number problem 1 please
Mandarinka [93]

Answer: y = 3x-1


Step-by-step explanation: I was never the best at doing this, but here it goes...

first start with the formula Y2-Y1/X2-X1 for this problem, lets say your Y2 is -1, your Y1 is 5, your X2 is 0, and your X1 is 2, making your equation -1-5/0-2 which equals -6/-2, which can be qritten as 3. this is your slope.

now take the equation Y-Y1 = M (X-X1) m is your slope, which is 3 in this case as stated above. your X1 is2, your Y1 is 5. plug this in and you get

y-5 = 3 (x-2) which you put into slope intercept form, which is y = mx + b

your answer should be y = 3x-1

6 0
3 years ago
What is the y-intercept of the line perpendicular to (1,1) and (-3,-1) and passes through (-3,-2)
marin [14]

Answer:

-8

Step-by-step explanation:

Let's first establish the reference line (the one that the second line will be perpendicular to).  We are told that this line passes through two points:

(1,1) and (-3,-1).

We'll find a line equation using the point slope form format to start:  

(y - y1) = m * (x - x1), where m is the slope and the x and y are from two points.

(x,y) = (1,1)

(x1,y1) = (-3,-1)

Rearrange the equation:

(y - y1) = m * (x - x1)

m = (y - y1)/ (x - x1)

m = (1-(-1))/(1-(-3))

m = 2/4, or 1/2:  The slope is 1/2.    [<u>This is "m."]</u>

We can use the slope-intercept form for this line (y=mx + b) and then calculate b, the y-intercept:

y = (1/2)x + b

Use either of the two given points.  I'll use (1,1) since I have memorized the "1" math tables.

y = (1/2)x + b  

1 = (1/2)(1) + b for (1,1)

b = 1/2

This makes the reference line:  y = (1/2)x+(1/2)

===

The line perpendicular must have a slope that is the negative inverse of (1/2).  This would be -(2/1), or -2.

We can then write y = -2x + b

To find be, enter the one given point for this line:  (-3,-2)

y = -2x + b

-2 = -2(-3) + b

-2 = 6 + b

b = -8

The perpendicular line is thus:

y = -2x - 8

It has a y-intercept of -8

5 0
2 years ago
What is 9/10 minus 3/5
madam [21]
9/10

3/5 *2/2 +6/10

9/10-6/10=3/10 or .3
8 0
3 years ago
Read 2 more answers
Solve the quadratic equation 3x^2-9x+1=0.<br> Please help.
viva [34]

Answer:

Exact Form-9+√69÷6

Decimal form-2.88443731

Step-by-step explanation:

8 0
3 years ago
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