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4 years ago

What is an equation of the line that is perpendicular to y=-3/4x+6 and passes through the point (3,9)

Mathematics

1 answer:

goldenfox [79]4 years ago

5 0

Answer:

$y=\frac{4}{3}x+5$

Step-by-step explanation:

The line y= -3/4+6 in the comments has slope -3/4. A perpendicular line will have the negative reciprocal of -3/4. It's 4/3.

To write the equation, substitute 4/3 and the point (3,9) into

$y-y_1 = m(x-x_1)$

$y-9=\frac{4}{3}(x-3)\\\\y-9=\frac{4}{3}x -\frac{4*3}{3}\\\\y-9=\frac{4}{3}x-4\\\\y=\frac{4}{3}x+5$

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Use the grid to answer questions 3-5 <br> pls help

cupoosta [38]

Answer:

3. (6 : -8)

4. (2 : -6)

5. (7 : -6)

Step-by-step explanation:

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3 years ago

PWEASE HELP IF YOUBARE GOOD AT MATH

Novosadov [1.4K]

<h3>Answer: 2</h3>

=========================================================

Explanation:

The function f(x) = -4x+1 is the same as y = -4x+1 where y = f(x)

Compare this to y = mx+b and we see the slope here is m = -4

---------

Now let's find the slope of g(x)

use the slope formula with any two rows you want. I'll pick on the last two rows.

m = (y2-y1)/(x2-x1)

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From here, we add the two slope values

(slope of f)+(slope of g) = -4+6 = 2

3 0

3 years ago

If a cube with the length of the side of 4 cm is cut into smaller cubes with the length of the side of 1 cm, then what is the pe

ValentinkaMS [17]

Answer:

300 %

Step-by-step explanation:

Length of the larger cube =4 cm

So volume $V=side^3=4^3=64cm^3$

Length of the smaller cube = 1 cm

Volume of the smaller cube $V=side^3=1^3=1cm^3$

So total number of smaller cube $=\frac{64}{1}=64$

Surface area of the larger cube $A=6\times side^2=6\times 4^2=144cm^2$

Surface area of the 64 smaller cube $A=64\times 6\times side^2=64\times 6\times 1^2=384cm^2$

So percentage increase in surface area $=\frac{384-96}{96}\times 100=300$ %

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3 years ago

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Lady_Fox [76]

Answer. 655.4

Step-by-step explanation:

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3 years ago

A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identi

Tcecarenko [31]

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = $\dbinom{4}{2}$ × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = $\dbinom{4}{0}$ × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = $\dbinom{4}{1}$ × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = $\dbinom{4}{2}$ × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

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3 years ago