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4 years ago

Write an equation of the line that passes through points (3, 7) and (5, 11).

Mathematics

1 answer:

dolphi86 [110]4 years ago

3 0

Answer:

B. y – 7 = 2(x – 3)

Step-by-step explanation:

First, find the the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

$\frac{-7 + 11}{-3 + 5} = \frac{4}{2} = 2$

Now, according to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

* Slope = m

I am joyous to assist you anytime.

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Geometry...Please help as soon as possible please and Thank you!!!

Triss [41]

Answer:

Step-by-step explanation:

Statment1. BD bisects ∠ABC

Reason1. Given

Statment 2. ∠ABD≅∠DBC (A)

Reason2. Definition of angle bisector

Statment 3. BD≅BD (S)

Reason3. Reflexive propriety

Statement 4. ∠BDA≅∠BDC (A)

Reason 4. Given

Statement 5 ΔABD≅ΔCDB

Reason 5. ASA theorem of congruency

8 0

3 years ago

Write the inverse of g(x) = e x g -1(x) = _____.

mezya [45]

Answer:

$g^{-1} (x) = \ln x$

Step-by-step explanation:

From the definition if inverse function we can say if y = f(x) and x = h(y) then h(x) is the inverse function of f(x).

Here the given function is $g(x) = e^{x}$ and we have to find the $g^{-1} (x)$ i.e. the inverse function of g(x).

Now, let us assume $y = g(x) = e^{x}$

Now, taking ln both sides we get, $\ln y = \ln e^{x} = x \ln e = x$

{Since $\ln e = 1$ }

⇒ $x = \ln y$

Therefore, $g^{-1} (x) = \ln x$ (Answer)

6 0

3 years ago

How much money will be accrued after 3 years if a principal investment of $820 is compounded continuously at 5%?

ludmilkaskok [199]

Total = Principal * e ^ (rate * years)
where "e" is the mathematical constant = 2.718281828459 ...
Total = $820.00 * 2.718281828459 ^ (.05 * 3)
Total = $820.00 * 1.1618342427 
Total = 952.70

Source:
http://www.1728.org/rate2.htm

4 0

4 years ago

Please help with problem its for a quiz :)

Lapatulllka [165]

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3 years ago

A survey of people showed that they prefer vanilla ice cream to chocolate ice cream at a ratio of 3 to 5. Determine the number o

Ugo [173]

Answer:

90 people would prefer chocolate. 60 people prefer vanilla.

Step-by-step explanation:

The ratio 3 to 5 is 60%. 60% of people prefer chocolate. 60% of 150 is 90. 150-90 is 60.

8 0

3 years ago

Read 2 more answers