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andrew11 [14]
2 years ago
13

What is the equation, in point-slope form, for a line that goes through (8,- 4) and has a slope of -5/6

Mathematics
1 answer:
Norma-Jean [14]2 years ago
5 0

Answer:

y + 4 = -\frac{5}{6}(x - 8)

Step-by-step explanation:

In the Point-Slope Formula, y - y_1 = m(x - x_1),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.

I am joyous to assist you anytime.

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The height of a triangle is six times the base write an expression for the area of the triangle and let x be the base
Romashka-Z-Leto [24]

Answer:

<h2>A = 3x²</h2>

Step-by-step explanation:

The formula fo an area of a triangle:

A=\dfrac{bh}{2}

b - base

h - height

We have

x - base

6x - height

Substitute:

A=\dfrac{(x)(6x)}{2}=\dfrac{6x^2}{2}=3x^2

4 0
3 years ago
Type your response in the box.
zysi [14]

Step-by-step explanation:

<u>Pattern 1</u> :

Arithmetic Sequence

Common term = 4

<u>Pattern 2</u> :

Geometric Sequence

Common ratio = 2

7 0
3 years ago
What is 3 ln 3 - ln 9 expressed as a single natural logarithm?
marusya05 [52]
Answer: In 3
SOLVINGS
What is 3 ln 3 - ln 9 expressed as a single natural logarithm

Since ln (m^n) = n⋅ln (m)                 … natural logarithmic property
We can further simplify the expression 3 ln 3
3 In 3 = In (3^3)
Therefore, 3 ln 3 - ln 9 = In (3^3) – In 9

Since ln(m/n) =ln(m) – ln(n)         … natural logarithmic property
We can further simplify the expression In (3^3) – In 9
In (3^3) – In 9 = In [(3^3)/(9)]
= In (27/9)
= In 3

Therefore, 3 ln 3 - ln 9 expressed as a single natural logarithm is In 3.
4 0
3 years ago
Read 2 more answers
A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati
IRINA_888 [86]

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

Learn more about this concept here:

brainly.com/question/26315885

#SPJ1

4 0
2 years ago
Match the vocabulary to the proper definition.
Nikitich [7]

Answer:

I got an answer

Step-by-step explanation:

1 is inference

2 is biased question as individuals are lead towards an answer that aligns with what the one who made the question wants

3 is statistics

4 is random

5 is survey

5 0
2 years ago
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