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hichkok12 [17]
2 years ago
11

If a line passes through the point (1,9) and has a slope of 6 , write it as an equation

Mathematics
2 answers:
vovikov84 [41]2 years ago
4 0
y= mx+b

y=6x+b

(9)=6(1)+b

9=6+b

3 = b

y=6x+3
Len [333]2 years ago
4 0
y-y_1=m(x-x_1)\\
y-9=6(x-1)\\
y=6x-6+9\\
y=6x+3

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Problem Set
insens350 [35]

5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.

3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.

Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is

(3 L) / (8 L) = 0.375 = 37.5%

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Explain how to tell if a number can. be divided by 10 evenly
maxonik [38]
Every number that has 0 as last digit and isn't decimal number, can be divided by 10 without remainder. It works for both positive or negative numbers. If last digit is different from 0, you will have remainder equal to that last digit. Even number 0 is divisible by 10 (the answer is 0 of course) because its last and only digit is 0. 
7 0
3 years ago
Which is equal to -(4 - 5)2 + 1?
DiKsa [7]

Answer:

It is equal to 3

Step-by-step explanation:

Follow PEMDAS to find the answer

Parenthasis first

- ( -1 ) * 2 + 1

No exponents

Multiplication ( left to right)

1 * 2 + 1

2 + 1

No division

Addition

3

No subtraction

At the end, you get 3

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2 years ago
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Find the equations of the tangents to the curve y = x²-x-12 at each of the points where the curve crosses the x-axis.​
poizon [28]

Step-by-step explanation:

First, find the zeroes of the parabola

{x}^{2}  - x - 12

{x}^{2}  - 4x + 3x - 12

x(x  - 4) + 3(x - 4)

(x +  3)(x  - 4) = 0

x =  - 3

x - 4 = 0

x = 4

So the zeroes or where the curve crosses the x axis is at 4 and -3.

Now, we take the derivative of the function.

\frac{d}{dx} ( {x}^{2}  - x - 12) = 2x - 1

Plug in -3, and 4 into the derivative function

2( - 3) =  - 7

2(4) - 1 = 7

So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.

y - y _{1} = m(x - x _{1})

y - 0 =  - 7(x - (  - 3)

y =  - 7x - 21

At x=4, our slope of tangent line is 7, and pass through (4,0) so

y - 0 = 7(x - 4)

y = 7x - 28

So the equations of tangent is

y =  - 7x - 21

y = 7x - 28

6 0
2 years ago
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