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3 years ago

Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4

1 answer:

4 0

Find x in equation.
M = -4
$y = m(x) + b \\ 1 = 0 + b \\ b = 1$
$y = m(x) + b \\ - 9 = ( - 4)(x) + 1 \\ - 10 = - 4x \\ x = \frac{5}{2}$

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Exponential Equation WITHOUT CALCULATOR

Alborosie

Multiply both sides of the first equation by $2^x$ :

$2^x-2^{-x}=4\implies 2^{2x}-1=4\cdot2^x\implies 2^{2x}-4\cdot2^x-1=0$

This is quadratic in $2^x$ ; to make this clear, substitute $y=2^x$ . Then

$y^2-4y-1=0\implies y=2\pm\sqrt5$

One of these solutions for $y$ is negative. But, if $x$ is real, then $y=2^x$ is always supposed to be positive, so we can throw out the negative root, leaving $y=2+\sqrt5$ .

We actually don't have to solve for $x$ exactly. We can just rewrite the next two equations in terms of $y$ .

$2^{2x}+2^{-2x}=(2^x)^2+(2^{-x})^2=y^2+\dfrac1{y^2}$

$2^{3x}-2^{-3x}=y^3-\dfrac1{y^3}$

Since $y=2+\sqrt5$ , we get

$(2+\sqrt5)^2+\dfrac1{(2+\sqrt5)^2}=18$

$(2+\sqrt5)^3-\dfrac1{(2+\sqrt5)^3}=76$

7 0

3 years ago

I WILL GIVE BRAINLIEST!!!! PLZ HELPS ASAP!!!

Phantasy [73]

Answer:

x = xi + delta x

-2+1 = -1

y = yi + delta y

-5+3 = -2

(-1,-2)

Step-by-step explanation:

3 0

3 years ago

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Which value of x would make TV || OS? 3 8 10 11

garik1379 [7]

Answer:

For x = 10, the lines will be parallel

Step-by-step explanation:

For parallel lines in a triangle, their sides must be proportional

And,

$\frac{x+4}{x-3} = \frac{x+10}{x}$

Cross Multiplying

=> x(x+4) = (x-3)(x+10)

=> $x^2+4x = x^2+7x-30$

=> $x^2-x^2+7x-4x = 30\\$

=> 3x = 30

Dividing both sides by 3

=> x = 10

6 0

4 years ago

Points D and E are midpoints of the sides of triangle ABC. The perimeter or the triangle is 48 units. What is the value of t?

Komok [63]

Answer:

2 units

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Since point D and E are midpoints of the sides of triangle ABC, hence:

AD = BD = 3t, BE = CE = 4t, AC = 7t + 6

The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;

Substituting:

48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6

48 = 21t + 6

21t = 42

t = 2 units

8 0

3 years ago

What is 3 2/3 plus 4 2/5

kvv77 [185]

Answer:

121/15

Step-by-step explanation:

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3 years ago

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