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3 years ago

What is the equation of the line (-2,-3) (4,5)

1 answer:

5 0

Slope = m = y2-y1/x2-x1
= 5-(-3)/4-(-2)
m=8/6
m=4/3
so eq of line we select any of one point . i select (4,5)
y - y1 = m(x-x1)
y- 5 = 4/3 (x-4)
3y -15 = 4x-16
4x-3y = 1

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Solve the following exponential equation by taking the natural logarithm on both sides. Express the solution in terms of natural

Cloud [144]

Answer:

$-\frac{ln(662)-2}{4}$

{-1.12}

Step-by-step explanation:

$e^{2 - 4x} = 662$

Solve this exponential equation using natural log

Take natural log ln on both sides

$ln(e^{2 - 4x}) = ln(662)$

As per the property of natural log , move the exponent before log

$2-4x(ln e) = ln(662)$

we know that ln e = 1

$2-4x= ln(662)$

Now subtract 2 from both sides

$-4x= ln(662)-2$

Divide both sides by -4

$x=-\frac{ln(662)-2}{4}$

Solution set is { $x=-\frac{ln(662)-2}{4}$ }

USe calculator to find decimal approximation

x=-1.12381x=-1.12

7 0

3 years ago

The perpendicular bisector of side AB of triangle ABC intersects the extension of side AC at D. Find the measure of angle ABC if

Karolina [17]

Answer:

23°

Step-by-step explanation:

Let the interior angles of ΔABC be referenced by A, B, and C. The definition of point D means that ΔDAB is an isosceles triangle, so we have the relations ...

A + B + 118 = 180 . . . . interior angles of ΔABC

A = B +16 . . . . . . . . . . base angles of ΔDAB

Using the expression for A in the second equation to substitute into the first equation, we get ...

(B+16) +B +118 = 180

2B + 134 = 180 . . . . . collect terms

2B = 46 . . . . . . . . . . . subtract 134

B = 23 . . . . . . . . . . . . divide by 2

m∠ABC = 23°

5 0

3 years ago

1)<br> Which expression is equivalent to x^8 - 256?

Allushta [10]

C) (x – 2)(x + 2)(x2 + 4)(x4 + 16)

8 0

2 years ago

EXPERT HELP: EXPLAIN THE ANSWER AND DON'T GUESS

exis [7]

Answer:

A or C

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

How do you find the original price if the percent of discount is 25% in the sales price is $40

kondaur [170]

25% — $40

100% — $40 * 4 = $160

The original price is $160.

3 0

3 years ago