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3 years ago

What is the equation for a slope -1 through the point (2,0)?

Mathematics

1 answer:

RUDIKE [14]3 years ago

4 0

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

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What is the area of triangle abc below? If necessary, round your answer to two decimal places..... PLEASE PLEASE HELP ME

antiseptic1488 [7]

For a triangle:
$A=\frac{bh}{2}$
$A=\frac{b \times 7.9}{2}$
$b=AD+DC$
Use Pythagorean theorem twice:
$AD^{2}+9.4^{2}=7.9^{2}$
$AD=5.09$

$DC^{2}+23.2^{2}=7.9^{2}$
$DC=21.81$

Thus:
$b=26.9$

And:
$Area=\frac{26.9 \times 7.9}{2}=106.26$

6 0

3 years ago

Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho

Alex787 [66]

Answer: 3.712 hours or more

Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

X is normally distributed.

$X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )$

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, $P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10$

$P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]$

As, $P(z>1.28)=0.10$ [By z-table]

Then,

$\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712$

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

3 0

3 years ago

Evaluate f(x)=-4x-5 for x = -1

Lubov Fominskaja [6]

F(x)=-4(-1)-5
f(x)=4-5
f(x)= -1
-1 is your answer

5 0

3 years ago

7(1 - 76) - 2b = -197

noname [10]

Answer:

b= -164

Step-by-step explanation:

calculate the difference

7x(-75)-2b= -197

multiply the numbers

-525-2b= -197

move the constant to the right- hand side and change the sign

-2b= -197+525

add

-2b=328

divide

b= -164

4 0

3 years ago

9. A rectangular shoebox is 14 inches long by 8 inches wide by 6 inches tall.

andreyandreev [35.5K]

Answer:

J 672 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h

V = 14 inches * 8 inches * 6 inches

V =672 inches^3

3 0

2 years ago