All categories

2 years ago

Complete the equation of the line through (4,-8) and (8,5) Use exact numbers. Y=?

Mathematics

2 answers:

mrs_skeptik [129]2 years ago

4 0

Answer:

y-intercept = (0, -21)

Step-by-step explanation:

Find the value of the slope.

$m = \frac{13}{4}$

Find the value of the y-intercept.

$b = - 21$

List the slope and y-intercept.

Slope: 13/4

y-intercept: (0, -21)

castortr0y [4]2 years ago

3 0

The Answer:

y=3.25x+ (-21)

You might be interested in

Given (x)=-x²+2x,determine F'(x) using first principle

mote1985 [20]

Hello,
which principle?

f(x)=-x²+2x
==>f'(x)= -2x+2

You mean maybe this

$\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}$

f(x+h)=-(x+h)²+2(x+h)= -(x²+2hx+h²)+2x+2h
f(x)=-x²+2x

$\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}=\lim_{h \to 0}\frac{-2hx-h^2+2h}{h}=\lim_{h \to 0}\frac{-2x-h+2}{1}=-2x+2$

6 0

3 years ago

If VT=2,what is the length of PT?

marusya05 [52]

Step-by-step explanation:

$\underline{ \underline{ \text{Given : }}}$

Perpendicular ( P ) = VT = 2
Base ( b ) = PT
$\theta = \tt{60 \degree}$

$\underline{ \underline{ \text{Solution}}} :$

$\tt{ \tan(60 \degree) = \frac{perpendicualar}{base}}$

⟶ $\tt{ \sqrt{3} = \frac{2}{PT}}$

⟶ $\tt{ \sqrt{3} \: PT= 2}$

⟶ $\tt{PT = \frac{2}{ \sqrt{3}} }$

⟶ $\tt{PT= \boxed{\tt{ \frac{2 \sqrt{3} }{{3} }}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

6 0

3 years ago

For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills

Evgen [1.6K]

Answer:

99.93%

Step-by-step explanation:

Probability of Independent Events

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

$P(0)=q^4=0.16^4=0.00065536$