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Alex Ar [27]
3 years ago
15

A line has the following equation: y=\frac{6}{7}x+5y=

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

Step-by-step explanation:

I'm still not exactly sure what the question really is, but the level suggests that it is

y = (6/7)x + 5

Any line that is parallel to this line has a slope of 6/7

Any line that is perpendicular to this line is a little more complicated.

slope of given line * slope of perpendicular line = - 1

6/7 * perpendicular slope = - 1  

Multiply by 7

6*perpendicular slope = - 7

Divide by 6

perpendicular slope = - 7/6

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Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
OleMash [197]

ANSWER



x=1.39 to the nearest hundredth.



EXPLANATION



We have the equation,



0=2x^2+3x-8



Which can be rewritten as



2x^2+3x-8=0

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

ax^2+bx+c=0


a=2,b=3,c=-8


The quadratic formula is given by;


x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}


We now substitute all the values in to the formula;


x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}

We simplify to obtain;

x=\frac{-3\pm\sqrt{9+64}}{4}


x=\frac{-3\pm\sqrt{73}}{4}


We now split the plus or minus sign to obtain;


x=\frac{-3-\sqrt{73}}{4}


This implies that;


x=-2.89

Or

x=\frac{-3+\sqrt{73}}{4}


This will evaluate to;


x=1.39

Hence, the positive solution rounded to the nearest hundredth is

x \approx 1.39

6 0
3 years ago
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your milk cost $18 and he says you live in 18% tip in the sales tax is 6% what is the total cost of your meal
densk [106]
$13.68 because you do [.18+.06=.24] [18•.24=4.32] [18-4.32=13.68]


5 0
3 years ago
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A fish-tank has a length of 27 centimeters, a width of 21 centimeters and a depth of 16 centimeters. Find the volume of the fish
NISA [10]

Answer:

To find the volume of the fish tank, we will need to multiply the height, the length, and the width of the fish tank. So, 21 x 27 x 16 = 9072 cm

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3 years ago
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Estimate the amount of time the trip will take. 100 miles at 40 mph 8 and 1/2 hours 2 and 1/2 hours 4 hours 6 and 1/4 hours
Natasha_Volkova [10]

Answer:

2 1/2 hours

Step-by-step explanation:

Divide 100 by 40 and you get 2.5

7 0
2 years ago
Describe the procedure you<br> performed to derive the slope-intercept form of a linear equation.
defon

Answer:

1. You first have to find the slope

2. Next, you have to find the y-intercept

3. Finally, you have to put it in y = mx + b form.

Step-by-step explanation:

The slope of 2 points is; \frac{y_{2}- y_{1} }{x_{2}-x_{1}}

The y-intercept is; y-y_{1}=m(x-x_{1} )

y = mx + b

m is always the slope

b is always the starting point or y-intercept

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3 years ago
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