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julia-pushkina [17]
3 years ago
5

What is the equation of a line, in a slope-intercept form, that goes through the point (-12,7) with m= -(5/3)

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
Slope-intercept form : y-y₁=m(x-x₁) 

Passes through (-12, 7) 

Slope = -5/3

m = slope

Simply plug everything in :)

y - y₁ = m(x - x₁)

y - 7 = -5/3(x + 12)

Simplify.

y - 7 = -5/3x - 20

Add 7 to both sides.

y = -5/3x = -13

~Hope I helped~
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Solve this equation for x: 2x^2 + 12x - 7 = 0
zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

6 0
3 years ago
Any one that knows this please help thanks!
yulyashka [42]

Replace the x with 9, and the y with 1.

(x · y²)/-5 becomes (9 · 1²)/-5

1² is just 1, so you're doing 9 × 1 (which is = 9) over -5.

Therefore, your final answer is -9/5.

4 0
3 years ago
A set of positive and negative rational numbers is shown. 8/9 , –1/6 , 3/5 , 4/11 , –2/7 What is the difference between the larg
Sergeeva-Olga [200]
The smallest one is -2/7
The largest one is 8/9 The difference between them is
8/9 - - 2/7 =
8/9 + 2/7 =
7*8/9*7 + 2*9/9*7 =
56 / 63 + 18 / 63 =
74 / 63 =
1 11/63

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4 hours for 18

7 hours for 25.50

Difference in hours: 7-4 = 3

Difference in cost: 25.50 - 18 = 7.50

7.50 / 3 = 2.50

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1320/5280 in simplest form?
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1320/5280 in the simplest form is 1/4 
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