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3 years ago

What is the equation in point slope form of the line passing through (0,5) and (-2,11)

Mathematics

1 answer:

IRISSAK [1]3 years ago

6 0

The equation of the line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is

$\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}$ . Here

$\frac{y_2-y_1}{x_2-x_1}$ is the slope of the line.

Substituting numerical values, the equation of the line is

$\frac{x-0}{y-5} =\frac{-2-0}{11-5} \\ \frac{x}{y-5} =-\frac{1}{3} \\ 3x=5-y\\ 3x+y=5$

The equation of the line is $3x+y=5$

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Select the correct answer. How can you write the expression 2 − (p + 6) in words?

ololo11 [35]

The written form of the mathematical expression as given in the task content; 2 − (p + 6); is; the difference between 2 and the sum of p and 6.

<h3>What is the written form of the mathematical expression given in the task content?</h3>

It follows from the task content that the expression given is; 2 − (p + 6).

Since, the expression in the parentheses can be expressed in words as the sum of; p and 6.

Hence, it follows that the whole expression can be expressed as the difference between 2 and the sum of p and 6.

Read more on expression in words;

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1 year ago

5x+14<4 or -2(x-8)<-2

Kitty [74]

Answer:

Step-by-step explanation:

5x+14<4 or -2(x-8)<-2

-14 -14 -2x+16<-2

5x<-10 -16 -16

÷5 ÷5 -2x<-18

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x>9 (sign changes because you divide by a negative number)

x<-2 or x>9

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3 years ago

twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the tw

Zolol [24]

Answer:

The graph is shown below.

The time to make the taste to half is 4.265 s.

Step-by-step explanation:

Given:

Initial value of the taste is, $Q_0=1$

Therefore, the quality of taste over time 't' is given as:

$Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t$

Now, when the taste reduces to half, $Q=0.5$

Therefore,

$0.5=1(0.85)^t$

Taking natural log on both the sides, we get:

$\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s$

Therefore, the time to make the taste to half is 4.265 s.

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3 years ago

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Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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