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3 years ago

5. Write an equation of the line that passes through (4,−1) and is parallel to the line y=3x+7.

Mathematics

1 answer:

k0ka [10]3 years ago

7 0

Answer:

y =3x-1

Step-by-step explanation:

Parallel lines have the same slope, but different y intercepts :)

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A dog has a 25 ft leash attached to a corner where a garage and fence meet. When the dog pulls the leash tight and walks from th

dalvyx [7]

Answer: $170^{\circ}$

Step-by-step explanation:

Given

The dog has a 25 ft leash

Arc length is 74.3 ft

Arc length is given by

$l=\dfrac{\theta }{360^{\circ}}\times 2\pi r$

here, r=25 ft

l=74.3 ft

Put the values

$\Rightarrow 74.3=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 25\\\\\Rightarrow \theta =170.2^{\circ} \approx 170^{\circ}$

The measure of the angle is $170^{\circ}$

7 0

3 years ago

3c-4 (a+b) if a =-1, b=2 and c = 1/3

Ksju [112]

Plug in each variable.

3(1/3)-4(-1+2)

Simplify

1-4(-1+2)

-3(1)

-3

6 0

3 years ago

Suppose f is a function with exponential growth and f(0)=1. Explain why f can be represented by a formula of the form

galben [10]

We are supposed to explain why the given function can be expressed in form $f(x)=b^{x}$ , when $f(0)=1$ .

Since the given function is an exponential function we can express it as $f(x)=a(b)^{x}$ .

Now let us substitute x=0 in the given function,

$f(x)=b^{x}$

$f(0)=b^{0}$

$f(0)=1$

Let us substitute x=0 in our function.

$f(0) = a(b)^{0}$

$f(0) = a\cdot 1$

$f(0)=a$

Upon substituting a=1 in our function we will get,

$f(x) = 1(b)^{x}$

$f(x) =(b)^{x}$

Therefore, our function f can be represented by the formula of the form $f(x)=b^{x}$ .

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Multi step equation using distributive property answer equals 5

artcher [175]

This equation has x terms on both the left and the right. To solve an equation like this, you must first get the variables on the same side of the equal sign. You can subtract 5x on each side of the equal sign, which gives a new equation: x + 5 = 10. hope this helps

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3 years ago

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Determine the translation

dem82 [27]

The answer is 3 units down and one unit left.

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3 years ago

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