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2 years ago

Find the equation of a line that has the same slope as y = 5 - 9x and the same y-intercept as y=-8x - 10.

Mathematics

2 answers:

My name is Ann [436]2 years ago

5 0

Answer:

y=-9x-10

Step-by-step explanation:

First, start by putting the first equation into slope intercept form:

y=-9x+5

We know that in the standard slope intercept formula (y=mx+b), m is the slope and b is the y intercept. Thus, line with the same slope as the one above would have a slope of -9.

To have the same y intercept as y=-8x-10, the y intercept would have to be -10.

Therefore, the formula would be y=-9x-10

11111nata11111 [884]2 years ago

4 0

Answer:

y = - 6/5x + 8/9

Step-by-step explanation:

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following equations:

Equation 1:

By definition, if two lines are perpendicular then the product of their slopes is -1:

Equation 2:

Finally, the requested equation is:

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3 years ago

Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?

dangina [55]

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

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Combine like terms:

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7 0

2 years ago

Use logarithmic differentiation to find the derivative of the function.y = x^8 sin(x)

givi [52]

$Answer: \frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})$

Step-by-step explanation:

Since we have given that

$y=x^{8sinx}$

By using logarithmic on both sides we get,

$log y= 8 sinx. logx$

(∵ $log(a^m)=m.loga$ )

Now, differentiating on both sides ,we get,

$\frac{1}{y}.\frac{\partial y}{\partial x}=8(\frac{\partial sinx}{\partial x}.logx+sinx \frac{\partial logx}{\partial x})$

$\\\frac{1}{y}\frac{\partial y}{\partial x}=8(cosx.logx+sinx.\frac{1}{x})$

$\\\frac{\partial y}{\partial y}=8y(cosx.logx+\frac{sinx}{x})\\\\\frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})$

6 0

3 years ago

Purchased additional office equipment by cheque from Jaya RM 6000 .which is debit and credit

viktelen [127]

Answer:

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2 years ago

four friends attended a painting class together. They each paid for a ticket and $15 for food. At the end of the night, the tota

tigry1 [53]

Answer:

The answer is $36.25

Step-by-step explanation:

First minus $15 from $160

=145

second divide by the amount of friends which is four

so 145 divided by 4 equals 36.25

each ticket cost $36.25

6 0

2 years ago

Find the equation of a line that has the same slope as y = 5 - 9x and the same y-intercept as y=-8x - 10. ​

Find the equation of a line that has the same slope as y = 5 - 9x and the same y-intercept as y=-8x - 10.