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raketka [301]
3 years ago
12

Help me ASAP bigger reward if you help

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

x=−15+√10 or x=−15−√10

Step-by-step explanation:

Let's solve your equation step-by-step.

(x+15)2−10=0

Step 1: Simplify both sides of the equation.

x2+30x+215=0

For this equation: a=1, b=30, c=215

1x2+30x+215=0

Step 2: Use quadratic formula with a=1, b=30, c=215.

x=−b±√b2−4ac/2a

x=−(30)±√(30)2−4(1)(215)/2(1)

x=−30±√40/2

x=−15+√10 or x=−15−√10

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5

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I divided \frac{120}{24} = 5

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which equation represents a line that is parallel to the line whose equation is 3x-2y=7; which equation represents a line parall
aleksley [76]

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

We have been given a parallel line with has equation

3x-2y=7

In order to solve this, the slope of the original line.

3x - 2y = 7

-2y = -3x + 7

y = 3/2x - 7/2

thus its slope is 3/2.

thus, the slope of the needed line is 3/2 too.

we know that any line that is parallel to that would have this slope.

So anything is written in the form:

y = 3/2x + b

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

Learn more about parallel lines here:

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3 0
1 year ago
Select the quadratic equation that has roots x=8 and x=-5
stellarik [79]

Step-by-step explanation:

Since, x=8 and x=-5 are the roots.

Therefore, (x - 8) & (x - 5) will be factors.

Hence, required quadratic equation can be given as:

(x - 8)(x - 5) =0 \\  \\  \therefore  {x}^{2}  + ( - 8 - 5) x+ ( - 8) \times ( - 5) = 0 \\  \\ \therefore  {x}^{2}  + ( - 13) x+ 40= 0  \\  \\ \huge \red{ \boxed{ \therefore  {x}^{2}  - 13x+ 40= 0 }} \\ is \: the \: required \: quadratic \: equation.

5 0
3 years ago
The cost of a car rental is thirty dollars a day plus fifteen cents a mile. If the total cost to rent the car was one hundred an
Elan Coil [88]

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose car was driven x miles in its 4 days trip.

Cost of a car rental is thirty dollar per day.

So, for 4 days, the car rental will be = 30*4=120 $

For 1 mile, it adds fifteen cents,

So, for x miles, the cost will be = 0.15 x $

As per question, total rent is 180 $

Total rent will be = 120 + 0.15 x = 180

Subtracting 120 in both sides

0.15 x = 180-120=60

x=\frac{60}{0.15}

x=400

It means car was driven 400 miles.   :   Answer

Hope it will help :)

4 0
3 years ago
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