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3 years ago

Write an equation perpendicular to 4x + 8y = 3 and contain the point (5,7) in slope-intercept form

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

Answer:

y=2x-3

Step-by-step explanation:

The slope-intercept form of the original equation would be y=3/8−x/2

Therefore, the slope of the perpendicular line would be m=2

Then, the y-intercept would be 7=(2)x(5)+a

A=-3

Answer:

y=2x+3

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12 times a number decreased by 5 is no more than 55

lions [1.4K]

Answer:

12n -5 ≤ 55

Step-by-step explanation:

12 times a number (represented by n) is 12n.

"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.

"Is no more than 55" means "is less than or equal to 55".

Then the expression written using math symbols is ...

12n -5 ≤ 55

6 0

3 years ago

Read 2 more answers

What digit is in the ten thousands place in the number 925,634,780?

Ludmilka [50]

Answer:

3 because pretend the rest of the numbers are not there it is 3

3 0

3 years ago

Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

Zinaida [17]

Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, $E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}$ = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

$V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333$

Hence,

The standard deviation of resistance, $\sigma_R = \sqrt{V(R)} = \sqrt5.333$ = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

$z_1 = \frac{102-99}{2.3094} = 1.299$

$z_2 = \frac{98-99}{2.3094} = -0.433$

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0

3 years ago

Formula for area the area of a triangle

nordsb [41]

I think A=12bh I hope it’s right

4 0

3 years ago

Given that point A is the midpoint of line segment ED, where E( -1,9) and A(4,5), what is the location of point D?

yuradex [85]

Answer:

D(9, 1)

Step-by-step explanation:

A being the midpoint means its coordinates satisfy ...

A = (E + D)/2

Solving for D, we find ...

D = 2A -E

= 2(4, 5) -(-1, 9) = (2·4 +1, 2·5 -9)

D = (9, 1)

8 0

3 years ago