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3 years ago

Write an equation of a line perpendicular to the line y=-5x+6

Mathematics

1 answer:

FrozenT [24]3 years ago

3 0

Answer:

Step-by-step explanation:

From the condition of perpendicularity, for two lines to be perpendicular to each other the product of their gradients must equal to ( -1 ).

Same time, equation of a straight line is ; y = mx+ c where m us the gradient and c is the point of intersection of the line on y axis. Therefore, the gradient of this equation m1 ,= -5 and the gradient m2 of the second line will be 1/5. Therefore, the equation of the second line perpendicular to

y = -5x + 6 ; y = x/5 + 6 .

Therefore, y = x/5 + 6 is the new equation.

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Dafna1 [17]

Answer:

$\frac{92}{15}$

Step-by-step explanation:

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$\frac{24}{5} + \frac{4}{3}$

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$\frac{92}{15}$

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The coordinate grid shows points A through K. What point is a solution to the system of inequalities?

Eddi Din [679]

Answer:

Option D) F

Step-by-step explanation:

we have

$y < -2x+10$ -----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=-2x+10$

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

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The solution of the inequality B is the shaded area below the dashed line $y=\frac{1}{2}x-2$

The y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (4,0)

The solution of the system of inequalities is the shaded area between the two dashed lines

see that attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

therefore

The solution are the points

E, F and G

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3 years ago

There are 11 books on a shelf. 5 of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio

ser-zykov [4K]

A)
Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.

b)
The ratio is 6:11. You get the 6 from the above problem.

Hope this helps!

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3 years ago

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castortr0y [4]

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3 years ago