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3 years ago

13

Find an equation of the line that is perpendicular to 9x + 5y = - 1. Write your answer in the form y = mx + b.

1 answer:

Alchen [17]3 years ago

5 0

Answer:

Step-by-step explanation:

move x to the right making the equation 5y=-9x-1 then divide both sides by 5 to get y= -9/5x-1/5. the slope of a perpendicular line is the opposite reciprocal of the slope from the og eq. so the slope of the new line is 5/9x and the y-intercept stays the same so the equation should be y=5/9x-1/5

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Help , please and thanks

ira [324]

Answer:

891,962,172,409

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Step-by-step explanation:

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4 years ago

8. Bob bought a pair of tennis shoes on sale

mr_godi [17]

Answer:

20%

Step-by-step explanation:

So, I would set this up as a proportion-

72 x

90 100

Cross multiply-

100 x 72 = 7200

Divide-

7200/90 = 80

Subtract-

100 - 80 = 20

So, it is a 20% decrease

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3 years ago

What is the sum of the first 20 terms of the arithmetic sequence shown? \displaystyle \frac{1}{3} 3 1 , \displaystyle \frac{2}

Murrr4er [49]

Answer:

70

Step-by-step explanation:

$a_1$ = First term = $\dfrac{1}{3}$

$d$ = Common difference = $\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}$

$n$ = Number of terms = 20

Sum of arithmetic progression is given by

$S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70$

The sum of the first 20 terms of the arithmetic sequence is 70.

5 0

3 years ago

Multiply the polynomials.<br>(5x2 + 2x + 8)(7x-6)

Ilia_Sergeevich [38]

Answer:

35x3 - 16x2 + 44x - 48

Step-by-step explanation:

35x3 + 14x2 + 56x - 30x2 - 12x - 48

35x3 - 16x2 + 44x - 48

6 0

3 years ago

The length of the tunnel is 460miles. If 1 inch represents 60 miles what is the length of the tunnel?

kotegsom [21]

Answer:

The length of the tunnel is 7.66667 inch

Step-by-step explanation:

We are given

1 inch =60 miles

now, we can find for 1 mile

so,

60 miles = 1 inch

we get

$1mile=\frac{1}{60}inch$

we are given

total length is 460 miles

so, we can multiply both sides by 460

$460\times 1mile=460\times\frac{1}{60}inch$

now, we can simplify it

$460miles=7.66667inch$

So,

The length of the tunnel is 7.66667 inch

5 0

3 years ago