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Levart [38]
4 years ago
13

Determine the intercepts of the line. y=4x+7

Mathematics
1 answer:
luda_lava [24]4 years ago
5 0
To get your answer we'll plug 0 in for x into the equation.

So, multiply 4*0 which equals 0.

y=0+7

Then we'll add 0 and 7 which leaves us with 

y=7

The y-intercept of this equation is: (0,7)

To find the x-intercept of this equation we'll rewrite it as 4x+7=0

Then we'll subtract 7 from both sides,

4x=-7

Now we'll divide each side by 4. Then simplify which brings us to our answer,

x= -\frac{7}{4}

The x-intercept of this equation is: ( -\frac{7}{4} ,0)

I hope I helped you! If you need any more help let me know!
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WILL MARK BRAINLIEST. PLEASE HELP.<br> simplify:
Scilla [17]

Answer:

2+3\sqrt{5}

Step-by-step explanation:

Hi!

This is a lot of radicals, so it may seem tricky. Let's begin by simplifying all of the radicals that can be simplified.

We can see that \sqrt{75} can be simplified.

Taking prime factorization:

=\sqrt{5^2\cdot \:3}

which is:

=5\sqrt{3}

So an updated equation is \left(\sqrt{5}+\sqrt{3}-\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)+5\sqrt{3}.

Now, we need to expand this:

First, let's expand the parenthesis:

\sqrt{5}\sqrt{5}+\sqrt{5}\left(-\sqrt{3}\right)+\sqrt{3}\sqrt{5}+\sqrt{3}\left(-\sqrt{3}\right)+\left(-\sqrt{15}\right)\sqrt{5}+\left(-\sqrt{15}\right)\left(-\sqrt{3}\right).

We can apply some of are rules:

\sqrt{5}\sqrt{5}-\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{5}-\sqrt{3}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{3}

And, now to simplifying!

Adding similar elements:

\sqrt{5}\sqrt{5}-\sqrt{3}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{3}

Simplifying and cleaning up each radical:

5-3-5\sqrt{3}+3\sqrt{5}.

Now all we have to do is add the similar elements (again.)

In doing so we reach an answer of \boxed{2+3\sqrt{5}}

Hope this helps!

- Sahkfam

3 0
3 years ago
Simplify the given equation.
Alekssandra [29.7K]

Answer:

4-7x=15

Step-by-step explanation:

trust me I am expert

7 0
3 years ago
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Solve the inequality.<br> 3x + 6 &lt;21
bixtya [17]

Answer:

3x + 6 < 21

subtract 6 on both sides

3x < 15

reduce by dividing with 3

x < 5

remember to handle inequalities just like equations

4 0
3 years ago
Read 2 more answers
Anyone know how to do it?
Oksana_A [137]
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3 years ago
two times Antonio's age plus three times Sarah's age equals 34. Sarah's age is also five times Antonio's age. how old is Sarah
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