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2 years ago

11

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (1, 1), slope

= 2

1 answer:

RSB [31]2 years ago

7 0

Answer:

y=2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-1)

y=2x-2+1

y=2x-1

Please mark me as Brainliest if you're satisfied with the answer.

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the basement has an area of 864 square feet. the width of the basement is two thirds its length. What is the length of the basem

Leno4ka [110]

A = 864
w = 2/3l

A = lw

Plug in what we know:

864 = l(2/3l)

Multiply:

864 = 2/3l^2

Divide 2/3 to both sides or multiply by its reciprocal, 3/2:

864 * 3/2 = l^2

2592/2 = l^2

1296 = l^2

Find the square root of both sides:

l = 36

So the length of the basement is 36 feet.

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2 years ago

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The rainfall for the month of July was above average. The water level in a small lake measured 8 3/4 feet at the beginning of th

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c. 10 1/20 is your answer

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A right triangle has a leg b of length 7 and a hypotenuse of length 11 what is the length of the other leg a?

scoray [572]

Answer: 8.5

Step-by-step explanation:

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2 years ago

Make a rational equations with the following requirements

Rufina [12.5K]

Answer:

$f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}$

Step-by-step explanation:

Since f(x) has asymptotes at x = 5 and x = -5, then the denominator of the rational function contains the terms (x - 5) and (x + 5):

$f(x)=\dfrac{?}{(x-5)(x+5)}$

Since f(x) has x-intercepts at x = 2 and x = 1, then the numerator of the rational function contains the terms (x - 2) and (x - 1):

$f(x)=\dfrac{A(x-1)(x-2)}{(x-5)(x+5)}$

Now substitute the point (0, 4) and solve for A:

$f(0)=4\\\\\implies \dfrac{A(0-1)(0-2)}{(0-5)(0+5)}=4\\\\\\\implies -\dfrac{2}{25}A=4\\\\\\\implies A=-50$

So final rational function:

$f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}$

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2 years ago

An oak tree is 6 meters tall. A bird is standing on the ground 8 meters from the tree. If the bird flies directly to the top of

DerKrebs [107]

Answer:

10 meters

Step-by-step explanation:

To obtain how far wthe bird will need to fly directly, we use Pythagoras rule to calculate the hypotenus of the triangle :

Hypotenus, h = sqrt(opposite² + adjacent²)

h = sqrt(6² + 8²)

h = sqrt(36 + 64)

h = sqrt100)

h = 10m

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2 years ago